According to a recent study, the average length of a newborn baby is 19.219.2 inches with a standard deviation of 1.21.2 inch. the distribution of lengths is approximately normal. complete parts (a) through (c) below. include a normal curve for each part.
a. the probability that a baby will have a length of 20.4 inches or more is
b. the probability that a baby will have a length of 21.5 inches or more
c. the probability that a baby will have a length between 17.6 and 20.8 inches

a) 0.159

b) 0.0281

c) 0.816            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 19.2 inches

Standard Deviation, σ = 1.2 inch

We are given that the distribution of  lengths is a bell shaped distribution that is a normal distribution.

Formula:

a) P(baby will have a length of 20.4 inches or more)

Calculation the value from standard normal z table, we have,  

b) P( baby will have a length of 21.5 inches or more)

Calculating the value from the standard normal table we have,

c)P(baby will have a length between 17.6 and 20.8 inches)

step-by-step explanation:

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