After hearing of the national result that 44% of students engage in binge drinking (5 drinks at a sitting for men, 4 for women), a professor surveyed a random sample of 300 students at his college and found that 118 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.

A random sample of 160 car purchases are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the P-value to test the claim that all ages have purchase rates proportional to their driving rates. Use α = 0.05

please explain how to solve problem on the ti84 calculator. please also explain how you got the answer without the calculator.

ANSWERS

A) 0.01 < P < 0.025

B) P > 0.10

C) P < 0.005

D) 0.005 < P < 0.01

Consider the four characteristics of a Binomial experiment . Give an example of a binomial experiment in the real world (and how these characteristics are present), and its application to a business research problem

According to a recent by the CDC, 37% of Americans said that they'd eaten fast food within the past 24 hrs with 7.8% of Americans being considered High income AND have eaten fast food within the past 24HRS. It's also know that 21.1% of Americans are High Income, 49.9% are Middle Income, and the rest of individuals are Low Income. Finally, 18.0% of Americans are considered Middle Income AND have eaten fast food within the past 24 HRS.
A) calculated the probability that someone has eaten fast food in the last 24 HRS given that they're Middle Income.
B) calculated the probability that someome has eaten fast food or is low income
C) Are the events of eating fast food and income independent? If not, please briefly explain how the events are related

The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet. Show all work. Just the answer, without supporting work, will receive no credit.

(a) What is the probability that a randomly selected pecan tree is between 8 and 13 feet tall? (round the answer to 4 decimal places)

(b) Find the 80th percentile of the pecan tree height distribution. (round the answer to 2 decimal places)

(c) To get the answers for part (a) and part (b), what technology did you use? If an online applet was used, list the URL and describe the steps. If a calculator or Excel was used, write out the function

Your friend picks a random card and wants you to guess if it’s a face card. He tells you that it’s red. He tells you that is not a 10. He tells you that it’s not a diamond. Which of these are independant and which are dependant?

do males or female feel more tense or stress out at work?A survey of employed adults conducted online revealed the following. in the space below, draw a decision tree diagram and answer the question a-d. your answer should be demonstrably derived via decision tree.
a.   Given that the employed adults felt tense or stress out at work, what is the probability that the employed adults was a male
b.   Given that the employed adults is a male, what is the probability that he felt tense or stress out at work
c.   is the feeling tense or stress out at work and gender independent
                             Yes.                No.               Sum
male.                   244.              495.               739
Female.              282.              480.                762
Sum.                   526.              975.                1501

A building contractor is preparing a bid on a new construction project. Two other contractors will be submitting bids for the same project. Based on past bidding practices, bids from the other contractors can be described by the following probability distributions:

If required, round your answers to three decimal places.

1. If the building contractor submits a bid of $650,000, what is the probability that the building contractor will obtain the bid? Use an Excel worksheet to simulate 1,000 trials of the contract bidding process.
   
   The probability of winning the bid of $650,000 =
2. 
   
3. The building contractor is also considering bids of 675,000 and $685,000. If the building contractor would like to bid such that the probability of winning the bid is about 0.6, what bid would you recommend? Repeat the simulation process with bids of $675,000 and $685,000 to justify your recommendation.
   
   The probability of winning the bid of $675,000 =  
   The probability of winning the bid of $685,000 =  

a) USA Today provided a “snapshot” illustrating poll results from 21944 subjects. The illustration showed that 43 % answered “yes” to this question. “Would you rather have a boring job than no job? “The margin of error was given as +/- percentage point. What important feature of the poll was omitted?
b) For the poll described part “a” we see that 43% of 21944 people polled answered “yes” to the given question. Given that 43% is the best estimate of the population percentage. Why would we need a confidence interval? That is, what additional information does the confidence interval provide? Briefly explain.

A recent report found that a local creamery has a 35% market share in a certain region. Employees in the marketing department of the creamery conduct a survey to confirm the results by randomly selecting 300 residents from the region. The employees asked the question "Which brand of ice cream do you usually purchase?" to each resident. Use a normal approximation to calculate the probability that at most 80 of these people will choose the creamery's brand. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

You desire to estimate p for a binomial process. You know that p is less than 0.65 and greater than 0.45. Find n, the sample size required, to yield 95% confidence of estimating the true proportion, p, within .02.

Please show all work!

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 10%. Let X = the number of defective boards in a random sample of size n = 20, so X ~ Bin(20, 0.1). (Round your probabilities to three decimal places.)

(a) Determine P(X ≤ 2).

b. Determine P(X ≥ 5).

c. Determine P(1 ≤ X ≤ 4).

d. What is the probability that none of the 20 boards is defective?

e. Calculate the expected value and standard deviation of X. (Round your standard deviation to two decimal places.)

A survey of adults ages 18-29 found that 82% use the Internet. You randomly select 154 adults ages 18-29 and ask them if they use the Internet.

a) Find the probability that exactly 130 people say they use the Internet.

b) Find the probability that at least 130 people say they use the Internet.

c) Find the probability that fewer than 130 people say they use the Internet.

d) Are any of the probabilities in parts (a)-(c) unusual? Explain.

Use a normal approximation to the binomial distribution if possible.

Carbon monoxide (CO) emissions for a certain kind of car vary with mean 3 g/mi and standard deviation 0.5 g/mi. A company has 81 of these cars in its fleet.

a) What’s the approximate model for the distribution of the mean CO level for the company's fleet. Explain.

b) Estimate the probability that the mean emission is between 3.0 and 3.1 g/mi.

c) There is only a 5% chance that the fleet’s mean CO level is greater than what value?

Please provide solutions to the following problems. Please use Excel to solve the problems and submit the Excel spreadsheet.

A fair coin is tossed 15 times, calculate the probability of getting 0 heads or 15 heads A biased coin with probability of head being .6 is tossed 12 times. What is the probability that number of head would more than 4 but less than or equal to 10. You have a biased dice (with six faces numbered 1,2,3,4,5 and 6) in that odd numbers are thrice as likely as even numbers to show. You toss the dice 10 times. What is the probability that an even number would show up 5 times. If z has a standard normal distribution, calculate the following probability. P(-.3≤z≤10) If x has a normal distribution with mean 15 and standard deviation 2, calculate the following probabilities: P(1≤x<15)