55.0 inches of on average annually with a standard deviation of 5 inches. Assume the amount of annual rainfall in the Everglades to follow normal distribution. What is the probability that it will rain less than 45 inches this year?

the probability that it will rain less than 45 inches this year is 0.023

Step-by-step explanation:

Assuming the amount of annual rainfall in the Everglades to follow normal distribution, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amount of annual rainfall.

µ = mean

σ = standard deviation

From the information given,

µ = 55 inches

σ = 5 inches

We want to find the probability that it will rain less than 45 inches this yearh. It is expressed as

P(x < 45)

For x = 45,

z = (45 - 55)/5 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

P(x < 45) = 0.023