Data 605 - Assignment 8

Problem 11 from Page 303

The expected lifetime time is 1000 hours so lambda would be 1/1000. As per the situation, if 100 lightbulbs are bought then 100 x lambda would be 1/10. Expected minimum lifetime is 1/1/10 which is 10 hours.

Problem 14 from Page 303

Problem 1 from Page 320

(a)

# (a)

mu <- 10
sigma_square <- 100/3
sigma_square/2^2

## [1] 8.333333

(b)

# (b)

sigma_square2 <- 100/3
sigma_square2/5^2

## [1] 1.333333

(c)

# (c)

sigma_square3 <- 100/3
sigma_square3/9^2

## [1] 0.4115226

(d)

sigma_square4 <- 100/3
sigma_square4/20^2

## [1] 0.08333333