The probability that any single driver will turn left at

Chapter 3, Problem 204SE

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QUESTION:

Problem 204SE

The probability that any single driver will turn left at an intersection is .2. The left turn lane at this intersection has room for three vehicles. If the left turn lane is empty when the light turns red and five vehicles arrive at this intersection while the light is red, find the probability that the left turn lane will hold the vehicles of all of the drivers who want to turn left.

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QUESTION:

Problem 204SE

The probability that any single driver will turn left at an intersection is .2. The left turn lane at this intersection has room for three vehicles. If the left turn lane is empty when the light turns red and five vehicles arrive at this intersection while the light is red, find the probability that the left turn lane will hold the vehicles of all of the drivers who want to turn left.

ANSWER:

Answer:

Step 1 of 1:

The probability that any single driver will turn left at an intersection is

The left turn lane at this intersection has room for 3 cars. If the left turn lane is empty when the light turns red and 5 cars arrive at this intersection while the light is red.

We need to find the probability that the left turn lane will hold the cars of all of the drivers who want to turn left.

Let  is the number of left-turning cars arriving while the light is red.

The random variable  follows the binomial distribution with

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