Question

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 35113511 grams and a variance of 253,009253,009. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 46174617 grams. Round your answer to four decimal places.

Answer 1

The answer is "0.1397".

Explanation:

`\mu=3511\\\\`

variance
`\ S^2= 253,009\\\\`

standard deviation
`\sigma =√(253,009)=503\\\\`

Finding the probability in which the weight will be less than
`4617 \ grams\\\\`

`P(X<4617)=p[z<(4617-3511)/(503)]\\\\`

`=p[z<(1106)/(503)]\\\\=p[z< 2.198]\\\\= .013975\approx 0.1397`