Answer to Question #167510 in Statistics and Probability for jsysgaa

Question

What is the probability that an adult’s weight is in between 55-65kg?

Answer 1

The weights of a normally distributed group of adults participating in a fitness test has an average of 60kg and a standard deviation of 8kg.

a. What is the probability that an adult’s weight is in between 55-65kg?

Here, Mean($\mu$ )= 60

Standard Deviation($\sigma$ )= 8

Using the formula $z=\dfrac{x-\mu}{\sigma}$

$z_1=\dfrac{55-60}{8}=-0.625$

and $z_2= \dfrac{65-60}{8}=0.625$

Hence, P(-0.625<z<0.625)= 0.4714