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
