find and interpret the fifth decile for the weights. Solution Given X~Normal(mean=58, s=14.1) P(X P((X-mean)/s <(c-58)/14.1)=0.15 --> P(Z<(c-58)/14.1)=0.15 --> (c-58)/14.1= -1.04 (check standard normal table) --> c= 58 - 1.04*14.1 =43.336.

1. find and interpret the fifth decile for the weights.
Solution
Given X~Normal(mean=58, s=14.1) P(X P((X-mean)/s <(c-58)/14.1)=0.15 -->
P(Z<(c-58)/14.1)=0.15 --> (c-58)/14.1= -1.04 (check standard normal table) --> c= 58 -
1.04*14.1 =43.336