STATISTICS QUESTION

Question

The mean of eggs is 26 and a standard deviation of 5 eggs. Find the probability that a given chicken lays between 22 and 30 eggs in a month.

Answer 1

calculate the z score for x = 30 eggs per month: z₂ = (30 - 26) / 5 = 0.8

calculate the z score for x = 22: z₁ = ((22 - 26) / 5 = -0.8

 

find the area under the standard normal distribution curve for z₂

find the area under the std. normal dist. curve for z₁

 

calculate z₂ - z₁ which gives the probability (22 < X < 30).