Question

Please explain the answer of this question without using the unit normal table. Thanks in advance....

Please explain the answer of this question without using the unit normal table. Thanks in advance.

One question on a multiple-choice test asked for the probability of selecting a score greater than X = 50 from a normal population with a population mean = 60 and a population standard deviation = 20. The answer choices were:

a. 0.1915

b. 0.3085

c. 0.6915

Without looking at the unit normal table, explain why answers a. and b. cannot be correct.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

the standard Z score for a score of X = 50 is

the probability of selecting a score greater than X = 50 is

see the normal distribution is symmetric about the mean which is 0, that means

we are looking for the probability which will be greater than 0.5.

Hence a and b cannot be right

option C is right

useexcel formula 1-NORM.S.DIST(-0.5,TRUE)

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