Answer:
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 65.3 inches
Standard Deviation, σ = 2.32 inches
We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(adult female has a height less than 61.3 inches)
[tex]P( x < 61.3) = P( z < \displaystyle\frac{61.3 - 65.3}{2.32}) = P(z < -1.7241)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 61.3) =0.0423 = 4.23\%[/tex]
0.0423 is the probability that the adult female has a height less than 61.3 inches.