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?

Answer: 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