Answer: the probability that X is greater than 15.2 is 0.5
Step-by-step explanation:
Assume that X has a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
µ = mean
σ = standard deviation
From the information given,
µ = 15.2
σ = 0.9
We want to find the probability that X is greater than 15.2. It is expressed as
P(x > 15.2) = 1 - P(x ≤ 15.2)
For x = 15.2
z = (15.2 - 15.2)/0.9 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
