PSM I_Week 6_Textbook

Problem 36

gamma(5)

## [1] 24

gamma(5/2)

## [1] 1.32934

Problem 55

mean.55 = 350
sd.55 = sqrt(400)

Problem a)

norm.325 = pnorm(325, mean = mean.55, sd = sd.55)
norm.325

## [1] 0.1056498

norm.363 = pnorm(363, mean = mean.55, sd = sd.55 )
norm.363

## [1] 0.7421539

problem.a = norm.363 - norm.325
problem.a

## [1] 0.6365041

Problem b)

z = qnorm(1-0.9, mean = mean.55, sd = sd.55)
z

## [1] 324.369