4.6/16. Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. How many ways can the letters of COUYPC be​ arranged? Identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

How many ways can the letters of COUYPC be​ arranged?

What is the correct unscrambling or COUYPC?

What is the probability of coming up with the correct unscrambling throughrandom letter selection?

19. Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 30 ​and, in a separate​ drawing, you must also select the correct single number between 1 and 34. Find the probability of winning the jackpot.

The probability of winning the jackpot is____

​(Type an integer or simplified​ fraction.)

20. Winning the jackpot in a particular lottery requires that you select the correct three numbers between 1 and 63 ​and, in a separate​ drawing, you must also select the correct single number between 1 and 52. Find the probability of winning the jackpot.

The probability of winning the jackpot is____

​(Type an integer or simplified​ fraction.)

sume that a procedure yields a binomial distribution with nequals4 trials and a probability of success of pequals0.40. Use a binomial probability table to find the probability that the number of successes x is exactly 2.

Please write in detail neatly. Kindly don't use any symbols and shortcut words. Please write the formula appropriately. The question is:

Consider an unbiased 4-sided die where the sides are numbered 1, 2, 3, 4, and a biased coin with probability of head P(H) =4 divided by 7. A chance experiment consists of rolling the die once and then tossing the coins many times as the number showing on the die. Let X represent the outcome of the roll of the die, and let Y represent the number of heads observed after tossing the coin. Below, find each of the following:

a. R(X) and R(Y)

b. Give the distribution of X. What is the name of this distribution?

c. What is the name of the conditional distribution P(Y | X = 2). Give this distribution.

d. Give the conditional expectation E[Y | X = 2].

e. Give the joint distribution of the random vector < X, Y >.

f. Give P(Y = 3).

g. Give P(X = 2 | Y = 2).

h. Give E[E[Y|X]].

Please explain to me about "unbiased 4-sided die" and "a biased coin." I just need to understand the meaning of them. Could you please give two examples so that I can understand easily?

1. a) Submit a copy of your dataset along with a file that contains your answers to all of the following questions.

b) What the mean and Standard Deviation (SD) of the Close column in your data set?

c) If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You do not want to calculate the mean to answer this one. The probability would be the same for any normal distribution. (5 points)

2. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at more than $950? (5 points)
3. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $50 of the mean for that year? (between 50 below and 50 above the mean) (5 points)
4. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than $800 per share. Would this be considered unusal? Use the definition of unusual from the course textbook that is measured as a number of standard deviations (5 points)
5. At what prices would Google have to close in order for it to be considered statistically unusual? You will have a low and high value. Use the definition of unusual from the course textbook that is measured as a number of standard deviations. (5 points)
6. What are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find these values. This is the only question that you must answer without using anything about the normal distribution. (5 points)
7. Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Does this distribution have the properties of a normal distribution as described in the course textbook? Real data sets are never perfect, however, it should be close. One option would be to construct a histogram like you did in Project 1 to see if it has the right shape. Something in the range of 10 to 12 classes is a good number. (5 points)

DATA SET- Closed stock prices

2. Data for the average cost of a major remodeling job nearly 20 years ago in 11 selected US cities were captured and are shown below: City Average Cost Atlanta, GA $20,427 Boston, MA 27,255 Des Moines, IA 22,115 Kansas City, MO 23,256 Louisville, KY 21,887 Portland, OR 24,255 Raleigh-Durham, NC 19,852 Reno, NV 23,624 Ridgewood, NJ 25,885 San Francisco, CA 28,999 Tulsa, OK 20,836 a. Under what circumstances could a t-test be used to determine whether the mean cost of remodeling a kitchen in the United States was greater than $25,000? b. What is the name of an alternative nonparametric test? Specify the null and alternative hypotheses of the test. c. Conduct the test in part b using α = .05. Interpret your results in the context of the problem.  

Make a histogram using the data below

What type of probability do these represent ? THUMBS UP!

Colors

   RED 17
GREEN 19
   BLUE 28
    YELLOW 22
ORANGE 21
   BROWN 7

  TOTALS 114

RED 15%
GREEN       17%
BLUE 25%
YELLOW 19%
ORANGE 18%
BROWN 6%
  TOTAL 100%

An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation.

1. Compute b₁ and b₀ (to 1 decimal).
   b₁  
   b₀  
   
   Complete the estimated regression equation (to 1 decimal).
   =  +  x
   
2. What is the variable cost per unit produced (to 1 decimal)?
   $
   
3. Compute the coefficient of determination (to 3 decimals). Note: report r²between 0 and 1.
   r² =  
   
   What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)?
   %
   
4. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to the nearest whole number)?
   $

Problem 2: [5 pts.] Health researchers believe that the neonatal mortality rate is higher at home (MRH) than that in the health centers (MRC). The neonatal mortality rates (both MRH and MRC) for 20 countries are recorded in SSPS file .

1. Do the data support researchers’ beliefs? Use α=0.05.
2. Find a 95% confidence interval to investigate the researchers’ belief and explain its meaning.
3. Check the assumptions of the above procedure.

Data for this Question.
Please mentioned the steps in the SPSS

Problem 3: [5 pts.]In order to investigate if the systolic blood pressure measurements vary in standing and lying positions the systolic blood pressure levels of sample of 12 persons were measured in both positions (first in standing position and then in lying position). The data of this experiment are recorded in SSPS file Assn1Q3.sav.

1. A researcher believes the mean systolic blood pressure level in standing position is more than that in lying position. Test the appropriate hypothesis to investigate the researcher’s belief at alpha=0.05.

2. Find the 95% confidence interval for the difference in mean systolic blood pressure levels in two positions. Interpret the result.

Please mentioned the steps in SPSS

The table is for the data.

Problem 4: [6 pts.]  Blood fat content may be influenced by many factors including age and weight. A nutritionist collected data on blood fat content, age and weight from sample of people. The data are saved in the file Assn1Q4.sav. The aim was to investigate how blood fat content is related to age and weight of individuals. 

1. ^{[1 pt.]}Check if the linear regression is appropriate to model the blood fat content depending on age and weight?

2. ^{[1 pt.]} Give the estimated egression equation of Blood fat on the age and the weight.

3. ^{[1 pts.]} Interpret the coefficient of age.

4. ^{[1 pts.]} Test the validity of the model given in (b).

5. ^{[1 pt.]} Test (at 2% level) whether the effect of age is significant on the blood fat.

6. ^{[1 pt.]} Find the coefficient of determination? Explain this value with respect to predictive power of the estimated regression model.

Please mentioned the steps in SPSS.

The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.05 significance level.

Question: Complete the ANOVA table. (Round the SS, MS, and F values to 3 decimal places.)

Please explain how you got your answers the best you can. I am trying to learn to do this myself. Thank you.

1. The following are the ages of a group of tourists visiting The Library of Congress:

36, 38, 33, 44, 37, 37, 38, 34, 34, 36, 34, 40, 42, 41, 35, 48, 31, 33, 46, 47, 33, 36, 37, 37, 34, 39, 35, 37, 36, 39, 39

1. Construct the Histogram of the ages with a class width of 5 years.
2. Find the mean of the dataset.
3. Find the median of the dataset.

2. True or false - for the dataset: 13, 13, 15, 15, 16, 16, 16, 17, 18, 22

1. The maximum value of the dataset above is 22. If the analyst makes one mistake and record it as 2.2, then the mistake will change the mean and the median of the dataset. Show calculations.
2. If the variance of a dataset is zero, then all observations must also be zero.
3. The standard deviation of dataset cannot be negative.
4. The variance of a dataset is always positive.
5. The following graph have a negative correlation:

Suppose that a committee of 12 people is selected in a random manner from a group of 100 people. Determine the probability that two particular people A and B will both be selected.

We considered the mean waiting time at the drive-through of a fast-food restaurant. In addition to concern about the amount of time cars spend in the drive-through, the manager is also worried about the variability in wait times. Prior to the new drive-through system, the standard deviation of wait times was 18.0 seconds. Use the data in the table below to decide whether there is evidence to suggest the standard deviation wait-time is less than 18.0 seconds. Recall that in Homework 1-3, we verified this data could have come from a population that is normally distributed. Use the α = 0.05 level of significance.

On a separate sheet of paper, write down the hypotheses (H₀ and H_a) to be tested.

Conditions:
a. The χ² ("chi-square") test for standard deviations_______ (is / is not) appropriate for this data.

Rejection Region:
b. To test the given hypotheses, we will use a (left / right / two)________ -tailed test.  
The appropriate critical value(s) for this test is/are______ .  (Report your answer exactly as it appears in Table VII. For two-tailed tests, report both critical values in the answer blank separated by only a single space.)

The test statistic for this test is χ²₀=.  (Calculate this value in a single step in your calculator, and report your answer rounded to 3 decimal places.)

c. We ______(reject / fail to reject) H₀.
d. The given data _______ (does / does not) provide significant evidence that the standard deviation of wait times under the new method is less than 18.0 seconds.