A commuter must pass through five traffic lights on her way to work, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.

X = # of red P (x)

0 0.05

1 0.25

2 0.35

3 0.15

4 0.15

5 0.05

a. How many red lights should she expect to hit each day?

b. What's the standard deviation?

c. Find the mean and standard deviation of the number of red lights the commuter should expect to hit on her way during a 5 day work week.

Question

Mathematics

Julian Prince

16 November, 23:39

A commuter must pass through five traffic lights on her way to work, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.

X = # of red P (x)

0 0.05

1 0.25

2 0.35

3 0.15

4 0.15

5 0.05

a. How many red lights should she expect to hit each day?

b. What's the standard deviation?

c. Find the mean and standard deviation of the number of red lights the commuter should expect to hit on her way during a 5 day work week.

+4

Answers (1)

Know the Answer?

Deacon Moss · Answer 1

a. For this question, you need to find the highest number of scores

b. This can be easily done on the calculator or using a formula (which i believe is on the net)

c. For average use fx/x { (p (x) times x} and standard deviation you would easily use a calculator. I hope this clarifies it a bit better.