CSUEB Women’s heights

CSUEB Women’s heights

Probability

Calculate the probability that a randomly CSUEB woman has height between 63 and 67 inches

\[ P(63 \leq X \leq 67) = ? \]

pnorm(67, mean = 65, sd = 3) - pnorm(63, mean = 65, sd = 3)

[1] 0.4950149

pnorm(0.67) - pnorm(-.67)

[1] 0.4971422

Quantile

To find the minimum height to contact the top 5% of the population of CSUEB woman.

qnorm(0.95)

[1] 1.644854

qnorm(0.05, lower.tail = FALSE)

[1] 1.644854

qnorm(.95, mean = 65, sd = 3)

[1] 69.93456

qnorm(.05, mean = 65, sd = 3, lower.tail = FALSE)

[1] 69.93456