Question

what is the probability that, in agiven year, the rainfall is between 28 and 36 inches?(Again, assume a normal distribution with mean 32 inches andstandard deviation 5 inches.)

Answer 1

ANSWER:

0.5762

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the value of z, with the help of the following equation:

$z=\frac{x-m}{sd}$

In this case, we calculate for the values between 28 and 36 inches, like this:

$\begin{gathered} P(28We calculate the probability with the help of the following table:

Replacing:

[tex]\begin{gathered} P=0.7881-0.2119 \\ P=0.5762 \end{gathered}$

The probability is 0.5762