Question

EURLIR . WRITINGROOR ILALAR 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-40 and B-2 Because a 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 115 hours on the project. (Round your answer to four decimal places.) Need Help? Read It Take a Tutor

Answer 1

solution : Given information, * The distribution of x has a gamma distribution with parameters Xe = 40 and 3 =2. Thus, * x value is large, we assume x follows a normal distribution, Noco finding, * The probability that a student Spends at most 115 hours on the project,

35 -PlZc 19.6491 -=[222.765] (= reencokt (9**). ASI since, use MS Excel function. E 09972

i The required probability is 0.9972 0.9972 wo