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A fair coin is tossed 7 times. Compute the probability of tossing 7 tails in a row.
1128​  
Enter your response as a reduced fraction.

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A CEO of Awesome Coolers owns 4 pairs of pants, 13 shirts, 8 ties and 3 jackets. How many different outfits can he wear to the office if he must wear one of each item?

The CEO has  different outfits.

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In a large population, 65 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal (to at least 3 places) or fraction.   

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Given the probability of an event is 110110, what are the odds against that event?

:

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A student's grades and weights are given below. Calculate the final grade by calculating a weighted average.

Calculate the student's final grade:  %

Round your answer to one decimal place.

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A person must pay $$4 to play a certain game at the casino. Each player has a probability of 0.01 of winning $$16, for a net gain of $$12 (the net gain is the amount won 16 minus the cost of playing 4).

Each player has a probability of 0.99 of losing the game, for a net loss of $$4 (the net loss is simply the cost of playing since nothing else is lost).

What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.

Expected Value = $

If a person plays this game a very large number of times over the years, do we expect him/her to come out financially ahead or behind?

• behind
• ahead

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A 10-sided fair die, a 4-sided fair die, and a 6-sided fair die are rolled. What is the probability of all three happening:

• Showing 3 on the first die
• Showing either 3 or 4 on the second die
• Showing an odd number on the third die

Probability =   
(Enter your answer as a reduced fraction.)

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A store gathers some demographic information from their customers. The following chart summarizes the age-related information they collected:

One customer is chosen at random for a prize giveaway.

What is the probability that the customer is at least 30 but no older than 50?   

What is the probability that the customer is either older than 60 or younger than 40?   

What is the probability that the customer is at least 60?   

Enter your answers as either decimals or fractions, not as percents.

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Frank earned the following grades last quarter. Calculate his GPA rounded to two decimals.

GPA:

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The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their car.

If one person is randomly selected from the group, what is the probability that this person drives a red car or did not get a speeding ticket?

Probability =   

(Enter your answer as a reduced fraction.)

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A company has 4 mechanics and 9 electricians. If an employee is selected at random, what is the probability that they are an electrician?

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Eleven bands are to perform at a weekend festival. How many different ways are there to schedule their appearances?

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Based on historical data, an insurance company estimates that a particular customer has a 2.4% likelihood of having an accident in the next year, with the average insurance payout being $2300.

If the company charges this customer an annual premium of $150, what is the company's expected value of this insurance policy?

$  

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Evaluate the following.

23C723C7 =

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A jury pool consists of 34 people, 16 men and 18 women. Compute the probability that a randomly selected jury of 12 people is all male.

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A bag of M&M's has 8 red, 5 green, 2 blue, and 4 yellow M&M's. What is the probability of randomly picking:

(give answer as a reduced fraction)

1) a yellow?

  

2) a blue or green?

  

3) an orange?

  

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A race consists of 12 women and 11 men. Find the following probabilities for the top three finishers:

P(all men) =   

P(all women) =   

P(2 men and 1 woman) =   

P(1 man and 2 women) =   

Round all answers to four decimal places.

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A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
(a) The card drawn is 5
The probability is :   

(b) The card drawn is a face card (Jack, Queen, or King)
The probability is :   

(c) The card drawn is not a face card.
The probability is :   

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Suppose a jar contains 10 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

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Michael buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 9 oatmeal cookies. What is the probability that Michael randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.

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Eight sprinters have made it to the Olympic finals in the 100-meter race. Suppose you want to determine how many different ways the gold, silver, and bronze medals can be awarded. Would you use a combination or a permtuation?

• Combination
• Permutation

I am trying to solve this problem, but I don't know which test to use:

For average risk funds only, test the proportion of funds with Sales Charges is not 50% use α = 0.10. Explain your conclusion.

Here is the contingency table with the data:

Context of the problem:

Mutual funds are the most common way people invest for the future with more than $20 trillion in investment assets. They are so popular because they are a simple, convenient way to invest in stocks, bonds, money markets, commodities and other securities. Nearly half of all Canadian households invest in mutual funds. These professionally managed investment products use money from investors to create a diversified pool of securities to achieve a specific investment objective. Investors purchase shares, which represent ownership in the mutual fund. The price of the fund fluctuates based on the gain or loss of the securities that make up the fund.

Because each mutual fund has a specific investment objective, such as growth, capital preservation, or income, it is important to understand which funds are designed to meet the investor objectives. For example Asset Allocation Funds invest in a mix of stocks, bonds, alternatives and money market securities, whereas TK Funds emphasize on the Science and Technology stocks.

A​ gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the​ gender-selection technique,961 births consisted of 501 baby girls and 460 baby boys. In analyzing these​ results, assume that boys and girls are equally likely.a.

Find the probability of getting exactly 501 girls in 961 births.

b. Find the probability of getting 501 or more girls in 961 births. If boys and girls are equally​ likely, is 501 girls in 961 births unusually​ high?

c. Which probability is relevant for trying to determine whether the technique is​ effective: the result from part​ (a) or the result from part​ (b)?

d. Based on the​ results, does it appear that the​ gender-selection technique is​ effective?

a.The probability of getting exactly 501 girls in 961 births is nothing.

​(Round to four decimal places as​ needed.)

b.The probability of getting 501 or more girls in 961 births is nothing.

​(Round to four decimal places as​ needed.)

If boys and girls are equally​ likely, is 501 girls in 961 births unusually​ high?

A.​No, because 501 girls in 961 births is not far from what is​ expected, given the probability of having a girl or a boy.

B.​No, because 501 girls in 961 births is far from what is​ expected, given the probability of having a girl or a boy.

C.​Yes, because 501 girls in 961 births is not far from what is​ expected, given the probability of having a girl or a boy.

D.​Yes, because 501 girls in 961 births is far from what is​ expected, given the probability of having a girl or a boy.

c. Which probability is relevant for trying to determine whether the technique is​ effective, the result from part​ (a) or the result from part​ (b)?

A.The result from part​ (b) is more​ relevant, because one wants the probability of a result that is at least as extreme as the one obtained.

The result from part​ (a) is more​ relevant, because one wants the probability of a result that is exactly equal to the one obtained.

C.

Neither of the results are relevant.

D.

The results from part​ (a) and part​ (b) are​ equal, so they are equally relevant.

d. Based on the​ results, does it appear that the​ gender-selection technique is​ effective?

A.

Yes​,because the probability of having 501 or more girls in 961 births i ​unlikely,and​ thus,is not attributable to random chance.

B.No​, because the probability of having 501 or more girls in 961 births is not ​unlikely,and​ thus, is attributable to random chance.

C.

Yes​, because the probability of having 501 or more girls in 961 births is not ​unlikely, and​ thus,is not attributable to random chance.

D.

No​,because the probability of having 501 or more girls in 961 births is not ​unlikely,and​ thus,is attributable to random chance.

3. I compared Coke and Pepsi cans.   For Coke I have n= 36 sample mean = 12.19 oz. and s = .11.  For the Pepsi cans I have n=36 sample mean = 12.29 oz. and s =.09.  I wish to determine if the two brands provide the same volume per can.
   1. Is it reasonable to pool the sample variances?  Why or why not?

2. How many degrees of freedom for this problem

3. Compute s_pool

4. Compute the margin of error for the confidence interval

5. Test the claim that µ_coke = µ_pepsi   for α = .05

1.) Use the given information below to answer the following questions.

a.) A sample of 25 lightbulbs was taken and it was found that the mean lifetime of a certain bulb for a movie projector is 520 hours with a standard deviation of 50 hours. The standing assumption of the manufacturing company is that the lifetime of this type pf bulb is no more than 500 hours. Assume a normal distribution. Does the data support the company’s claim at a level of significance of α = .10? Provide supporting explanation and show your work.

b.) A sample was taken of four dog treats and it was found that the mean grams of fat is 11 g with a standard deviation of 1.8 g. The standing assumption of the dog treat manufacturer is that the treats have 10 g of fat. Assume a normal distribution. Does the data support the company’s claim at a level of significance of α = .05? Provide supporting explanation and show your work.

"Trydint" bubble-gum company claims that 5 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90 confidence level.

The null and alternative hypothesis in symbols would be:

• H0:μ≤0.5
  H1:μ>0.5
• H0:p=0.5
  H1:p≠0.5
• H0:μ≥0.5
  H1:μ<0.5
• H0:p≤0.5
  H1:p>0.5
• H0:μ=0.5
  H1:μ≠0.5
• H0:p≥0.5
  H1:p<0.5

The null hypothesis in words would be:

• The proportion of all people that prefer Trydint gum is less than 0.5.
• The proportion of all people that prefer Trydint gum is 0.5
• The proportion of people in a sample that prefers Trydint gum is 0.5.
• The average of people that prefer Trydint gum is not 0.5.
• The proportion of all people that prefer Trydint gum is greater than 0.5.
• The average of people that prefer Trydint gum is 0.5.
• The proportion of people in a sample that prefer Trydint gum is not 0.5

Based on a sample of 100 people, 39 said they prefer "Trydint" gum to "Eklypse".

The point estimate is:  (to 3 decimals)

The 90 % confidence interval is:  to  (to 3 decimals)

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

Please explain how to solve on a TI-84 calculator. Thank you!!!

List at least 1 areas where predictive analytics have been applied to healthcare, such as,
predicting hospital readmissions. Describe how that area has been effected by predictive analytics.

Use the following information to answer the questions. A more recent study of Feline High-Rise Syndrome (FHRS) included data on the month in which each of 119 cats fell ( Vnuk et al. 2004) The data are in the accompanying table. Can we infer that the rate of cat falling varies between months of the year?

Month Number fallen

January 4

February 6

March 8

April 10

May 9

June 14

July 19

August 13

September 12

October 12

November 7

December 5

1. Assume a catfall is equally likely to occur in each month and carry out a suitable test.

2. Assume a catfall is equally likely to occur on each day and carry out a suitable test. Use a calendar for a non-leap year to obtain the needed probabilities.

3. Which method out of (1.) and (2.) would be best to use, if it were reasonable to assume that a cat could fall at any moment? Explain, briefly.

Explain statistical process control(SPC) and how it relates to continuous process improvement. Relate Demmings 14 Quality Points and explain how statistical data can assist with quality improvements efforts.

Consider the following. (Give your answers correct to one decimal place.)

(a) Find the value χ²(14, 0.10).


(b) Find the value χ²(8, 0.025).


(c) Find the value χ²(6, 0.95).


(d) Find the value χ²(24, 0.90).

A study of the ages of motorcyclists killed in crashes involves the random selection of 164 drivers with a mean of 37.09 years. Assuming that sigmaequals11.7 ​years, construct and interpret a 99​% confidence interval estimate of the mean age of all motorcyclists killed in crashes.
Click here to view a t distribution table.LOADING...
Click here to view page 1 of the standard normal distribution table.LOADING...
Click here to view page 2 of the standard normal distribution table.LOADING...
What is the 99​% confidence interval for the population mean u​?
__<___ ​(Round to two decimal places as​ needed.)

Compute 95% bootstrap confidence intervals for the mean time between failures 1/λ by the standard normal, basic, percentile, and BCa methods. Compare the intervals and explain why they may differ.

3, 5, 7, 18, 43, 85, 91, 98, 100, 130, 230, 487.

Use R software and provide with codes

DATA 2

CORRELATION MATRIX

1. What is the sum of squares regression for the full model? (Correct answer is 58, please show me how to get there)

2. What is the residual error in using the full model to predict Y for ID C? (Correct answer is +1, please show me how to get there)

Consider the value of t such that 0.05 of the area under the curve is to the left of t. Step 2 of 2: Assuming the degrees of freedom equals 25, select the t value from the t table.