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1. A bag of colored...

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

red (18), blue (22), orange (15), purple (5), green (15), and yellow (5).

Construct the probability distribution for x.

2. Classify the following as discrete or continuous random variables.

(A) The number of business majors at South University

(B) The time it takes to complete this assignment

(C) The blood pressures of patients admitted to a hospital in one day

(D) The number of people who play the state lottery each day

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

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

x 1 2 3

P(x) 0.3 0.4 0.3

Please show all of your work.

5. Construct a scatterplot 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.

x y

1 -3

2 -6

3 -9

4 -12

5 -15

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

x red blue orange brown green

P(x) 0.10 0.10 0.10 0.20

red (18), blue (22), orange (15), purple (5), green (15), and yellow (5).

Construct the probability distribution for x.

2. Classify the following as discrete or continuous random variables.

(A) The number of business majors at South University

(B) The time it takes to complete this assignment

(C) The blood pressures of patients admitted to a hospital in one day

(D) The number of people who play the state lottery each day

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

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

x 1 2 3

P(x) 0.3 0.4 0.3

Please show all of your work.

5. Construct a scatterplot 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.

x y

1 -3

2 -6

3 -9

4 -12

5 -15

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

x red blue orange brown green

P(x) 0.10 0.10 0.10 0.20

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