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Chapter 5: Q. 110 (page 287)

People enter a line for the Demon Roller Coaster at the rate of 4 per minute. The following formula from probability can be used to determine the probability that x people will arrive within the next minute.

Px=4xe-4x!

where, x!=x脳x-1脳x-2....脳3脳2脳1

Part (a): Determine the probability that x=5people will arrive within the next minute.

Part (b): Determine the probability that x=8people will arrive within the next minute.

Short Answer

Expert verified

Part (a): The probability that x=5people will arrive within the next minute is 0.156.

Part (b): The probability that x=8people will arrive within the next minute is0.029.

Step by step solution

01

Part (a) Step 1. Determine the probability for 5 people within the next minute. 

Assumex to be the no. of people coming.

From the given question,

Px=4xe-4x!

Substitute x=5in the given function,

P5=45e-45!=0.156

02

Part (b) Step 1. Determine the probability for 8 people within the next minute.

Assume x to be the no. of people coming.

From the given question,

Px=4xe-4x!

Substitute x=8in the given function,

P8=48e-48!=0.029

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