Question

Show your calculations in detail please..

1. Suppose that the weights of babies is normally distributed with mean of 6.3 kilograms and a standard deviation of 0.8.

a) (15 pts) What is the probability that a baby boy will weigh more than 7.3 kilograms?

b) (15 pts) What is the probability that a baby boy will weigh less than 5.3 kilograms?

Answer 1

a. Probability that baby will weigh more than 7.3

z-score is is z = (x-μ)/σ, where x is the given value , μ is the population mean, and σ is the population standard deviation.

z = (x-μ)/σ

= (7.3 - 6.3)/0.8

= 1.25

Probability of geting weigh greater than 7.3 = 0.1055 by z table

B. Probability of getting weight of baby less than 5.3 kg

z = (x-μ)/σ

= (5.3 - 6.3)/0.8

= - 1.25

Probabality of getting weight of baby less than 5.3 is also equals to 0.1055.