Explanation Given information: The number of times a printing press breaks down each month is Poisson distributed with λ = 4 . Explanation: A random variable X denotes the number of times a printing press breaks down each month. Variable X follows Poisson distribution with mean λ = 4 . A printing press breaks down between 2 and 8 times can be represented as 2 ≤ X ≤ 8 . This means that, the variable X takes values 2 , 3 , 4 , 5 , 6 , 7 , 8 . Therefore, P ( 2 ≤ X ≤ 8 ) = P ( X = 2 ) + P ( X = 3 ) + P ( X = 4 ) + P ( X = 5 ) + P ( X = 6 ) + P ( X = 7 ) + P ( X = 8 ) ⇒ P ( 2 ≤ X ≤ 8 ) = p 2 + p 3 + p 4 + p 5 + p 6 + p 7 + p 8 . In graphing calculator, the function that can be used to find each of these probabilities is p o i s s o n p d f ( λ , n ) . The steps to find P ( X = 2 ) or p 2 are as follows: To access the required function, press 2ND and then VARS. Select the function p o i s s o n p d f ( . Enter the value of λ = 4 and n = 2 . Complete the parenthesis (Press ‘)’ button) and press ENTER. So, P ( X = 2 ) or p 2 ≈ 0

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Chapter 12.5, Problem 23E

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Chapter 12 Solutions

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