Question

Assuming a normal distribution, if P(x<2)= 0.4 and P(x<4) = 0.6, which of the following is...

Assuming a normal distribution, if P(x<2)= 0.4 and P(x<4) = 0.6, which of the following is FALSE?

A P(x<6) = 1
B P(2<x<4) =0.2
C P(x>=4) = 1-P(x<4)
D Mean = 3
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Consider option C:

which is true because it's a basic principle.

Consider option D:

From C,

Hence, the normal distribution is symmetrical about x = 3

We know that, normal distribution is symmetrical about it's mean.

Hence, from this knowledge, Mean = 3

Therefore, option D is true.

Consider option B:

Hence, option B is true

By method of elimination we can say that Option A is False.

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