Answer:
Probability that a randomly selected student scored less than 156 on the final exam is 0.97725 .
Step-by-step explanation:
We are given that the exam scores on a statistics final exam are normally distributed with a mean of 140 points out of 200 and standard deviation of 8.
Let X = Score of students in exam
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean = 140
= standard deviation = 8
So, the probability that a randomly selected student scored less than 156 on the final exam is given by = P(X < 156)
P(X < 156) = P( < ) = P(Z < 2) = 0.97725 .
Therefore, the probability that a randomly selected student scored less than 156 on the final exam is 0.97725 .