1. Suppose that 30% of all drivers stop at an intersection having flashing red lights when no other cars are visible. Let X denote the number of those that stop. Of 14 randomly selected drivers coming to the intersection calculate the following. (a) Find P(3< X <8) (b) Use the Poisson distribution to approximate the probability in (a). (c) Calculate the absolute error in your approximation. Explain why your answer in (b) is so poor.

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1. Suppose that 30% of all drivers stop at an intersection having flashing red lights when
no other cars are visible. Let X denote the number of those that stop. Of 14 randomly
selected drivers coming to the intersection calculate the following.
(a) Find P(3 < X ≤ 8)
(b) Use the Poisson distribution to approximate the probability in (a).
(c) Calculate the absolute error in your approximation. Explain why your answer in (b)
is so poor.
Transcribed Image Text:1. Suppose that 30% of all drivers stop at an intersection having flashing red lights when no other cars are visible. Let X denote the number of those that stop. Of 14 randomly selected drivers coming to the intersection calculate the following. (a) Find P(3 < X ≤ 8) (b) Use the Poisson distribution to approximate the probability in (a). (c) Calculate the absolute error in your approximation. Explain why your answer in (b) is so poor.
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