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The time X taken by a randomly selected applicant for a mortgage to fill out a...

The time X taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with µ = 10 minutes and σ = 2 minutes. (a) If five individuals fill out a form, what is the distribution of X¯, the average time taken by all five and find P(X <¯ 8). [2] (b) Suppose now that X is no longer normally distributed, but the mean and standard deviation are the same. However, 45 applicants fill the form. Answer the same questions as in a

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xodi [ ho, Js (b PX ८8) = P(2८ 8-10 P ( 2 ८ २४ । ) 0.0|२ रे X ~ P(10) २/45) PCx.c8) - P (22 _b/ 8 +0 SPE P(2८ -Js) 9 . 8sxe 스

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