2.4-9. Suppose that the percentage of American drivers who multitask (e.g., talk on cell phones, eat a snack, or text at the same time they are driving) is approximately 80%. In a random sample of n = 20 drivers, let X equal the number of multitaskers. a. How is X distributed? b. Give the values of the mean, variance, and standard deviation of X. c. Find (i) P(X = 15), (ii) P(X > 15), and (iii) P(X ≤ 15).

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Can you please help me with this problem and the three parts that come along with it because i don't understand the problem and i just don't get it. Can you do this problem step by step and can you label the three parts as well.

**Problem 2.4-9**: Suppose that the percentage of American drivers who multitask (e.g., talk on cell phones, eat a snack, or text at the same time they are driving) is approximately 80%. In a random sample of \( n = 20 \) drivers, let \( X \) equal the number of multitaskers.

**a.** How is \( X \) distributed?

**b.** Give the values of the mean, variance, and standard deviation of \( X \).

**c.** Find (i) \( P(X = 15) \), (ii) \( P(X > 15) \), and (iii) \( P(X \leq 15) \).
Transcribed Image Text:**Problem 2.4-9**: Suppose that the percentage of American drivers who multitask (e.g., talk on cell phones, eat a snack, or text at the same time they are driving) is approximately 80%. In a random sample of \( n = 20 \) drivers, let \( X \) equal the number of multitaskers. **a.** How is \( X \) distributed? **b.** Give the values of the mean, variance, and standard deviation of \( X \). **c.** Find (i) \( P(X = 15) \), (ii) \( P(X > 15) \), and (iii) \( P(X \leq 15) \).
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