Suppose we want to determine the (binomial) probability (p) of getting 0 (zero) heads in 5 flips

a. Suppose we want to determine the (binomial) probability (p) of getting 0 (zero) heads in 5 flips of a 2-sided coin. Using Table 2 in Appendix B of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?

b. The employees at a General Motors assembly plant are polled as they leave work. Each is asked, “What brand of automobile are you riding home in?” The random variable to be reported is the number of each brand mentioned. Is x a binomial random variable? Justify your answer.

1. The scatter plot below shows the relationship between the day of a particular month a stock was valued and the price of the stock in dollars. The horizontal axis represents the day of the month. Use this graph to answer the questions below. 

(A) How would you describe the relationship between the day of the month this stock was valued and the price of the stock?
(B) Approximately what was the stock price on day 7?
(C) Would the slope of the "line of best fit" be positive or negative?

2.Suppose we want to determine the (binomial) probability(p) of getting 5

heads in 12 flips of a 2-sided coin. Using the Binomial Probabilities Table

in Appendix B of the text, what values of n, x and p would we use to look up

this probability, and what would be the probability?

3. For the table that follows, answer the following questions:

- How would the values of this table be interpreted in terms of linear regression?

- If a "line of best fit" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

- Would the correlation between x and y in the table above be positive or

negative?

- Find the missing value of y in the table.

4.Answer the following:
- If the correlation coefficient is 0.65, what is the sign of the slope of the regression line?
- As the correlation coefficient decreases from -0.97 to -0.99, do the points of the scatter plot move toward the regression line, or away from it?

coefficients represented would be positive, negative, or near zero.

5.For each of the scatter plots below, determine whether the correlation

probability distribution. Justify your answer.

6.Determine whether each of the distributions given below represents a

7.Ten jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of green jelly beans selected in 10 draws from the bowl.

(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.

8.You are given the following data.

- Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.

- Find the correlation coefficient for the data.

1. 
Construct the probability distribution for x.

(20). 

A bag of colored blocks contains the following assortment of colors:

red (4), blue (9), orange (12), purple (22), green (13), and yellow

Classify the following as discrete or continuous random variables.

2. (A) The number of criminal justice majors at South University
(B) The time it takes to drive to work
(C) The height of the Eiffel Tower
(D) The blades of grass on a front lawn

In testing a new drug, researchers found that 10% of all patients using

3. it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that:

(A) exactly two will have this mild side effect
(B) at least three will have this mild side effect.

Please show all of your work.

4. Find the mean and standard deviation of the following probability distribution:

5. Construct a scatter plot for the (x, y) values below, and answer the following questions. You do NOT need to submit your scatterplot with your answer; however, show all other work.

- What would be the slope of this regression line?
- Would the correlation between x and y be positive or negative?
- How would you interpret these data in terms of linear regression?

6.Please answer the following questions regarding the graph below:

• What percentage of the grand total of students are females in the Lang Arts program?
• How would you interpret the relationship between gender and majors in this graph?
• List the percentages of students in each major area as compared to the grand total.

7.How many green elements are required to make this a legitimate probability distribution if there are a total of 50 elements in this sample?