Answer: the probability that the age of randomly selected CEO will be between 50 and 55 years old is 0.334
Step-by-step explanation:
Assuming that the age of randomly selected CEOs is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = age of randomly selected CEOs.
µ = mean age
σ = standard deviation
From the information given,
µ = 56 years
σ = 4 years
We want to find the probability that the age of randomly selected CEO will be between 50 and 55 years old. It is expressed as
P(50 ≤ x ≤ 55)
For x = 50,
z = (50 - 56)/4 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
For x = 55,
z = (55 - 56)/4 = - 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.401
Therefore,
P(50 ≤ x ≤ 55) = 0.401 - 0.067 = 0.334
