Suppose the distribution of the time X (in hours) spent by students at a certain university on a particular project is gamma with parameters a = 60 and = 2. Because a is large, it can be shown that X has approximately a normal distribution. Use this fact to com the approximate probability that a randomly selected student spends at most 145 hours on the project. (Round your answer to four decimal places.) IA USE SALT

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Transcription for Educational Website:**

Suppose the distribution of the time \( X \) (in hours) spent by students at a certain university on a particular project is gamma with parameters \( \alpha = 60 \) and \( \beta = 2 \). Because \( \alpha \) is large, it can be shown that \( X \) has approximately a normal distribution. Use this fact to compute the approximate probability that a randomly selected student spends at most 145 hours on the project. (Round your answer to four decimal places.)
Transcribed Image Text:**Transcription for Educational Website:** Suppose the distribution of the time \( X \) (in hours) spent by students at a certain university on a particular project is gamma with parameters \( \alpha = 60 \) and \( \beta = 2 \). Because \( \alpha \) is large, it can be shown that \( X \) has approximately a normal distribution. Use this fact to compute the approximate probability that a randomly selected student spends at most 145 hours on the project. (Round your answer to four decimal places.)
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