Question

The annual rainfall at a certain locality is known to

be normally distributed random variable with

mean value equal to 29.5 inches and standard

deviation of 2.5 inches. How many inches of rain

(annually) exceeded about 5% of time.​

Answer 1

Answer:

The answer is 33.612 nearly equals to 34

Step-by-step explanation:

According to question

P(Z > x) = 0.05

1 - P(Z < x) = 0.05

P(Z < x) = 0.95

Then from z-table we get x = 1.615

Now,

Z = (X-μ)/σ

X = 1.645 * 2.5 + 29.5 = 33.6125