Question

If X ~ N(3, 16), then Pr[|X|<1] is (to two decimal places):

		0.31
		0.16
		0.15
		0.62
		0.32

Answer 1

solution:

the given information as follows:

X N (3,16)

which mean X follows normal distribution with mean = = 3, standard deviation =

we have to find P(X < 1)

so corresponding z score =

P(X < 1) = value of z to the left of -0.5 from the z table.. = 0.3085 = 0.31

so correct answer is 0.31

the graph as below: