Question

According to a recent​ study, the average length of a newborn baby is 20.2 inches with a standard deviation of 1.2 inch. The distribution of lengths is approximately Normal. Complete parts​ (a) through​ (c) below. Include a Normal curve for each part. The probability that a baby will have a length of 21.4 inches or more is ________?

Answer 1

Solution :

Given that ,

P(x 21.4) = 1 - P(x   21.4)

= 1 - P[(x - ) / (21.4 - 20.2) / 1.2]

= 1 -  P(z 1)   

= 1 - 0.8413

= 0.1587

The probability that a baby will have a length of 21.4 inches or more is 0.1587