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Chapter 6: Q 55 (page 387)

X~N(鈥�3,4)

Find the probability that x is between one and four.

Short Answer

Expert verified

The value of P(1<x<4)is0.1186.

Step by step solution

01

Given Information

Given that,

X~N(-3,4)

Where,

渭=-3and

蟽=4

02

Explanation

Now, the required probability can be calculated as below:

P(1<x<4)=P(x<4)-P(x<1)

=P(x-渭蟽<4-渭蟽)-P(x-渭蟽<1-渭蟽)

=P(Z<4-(-3)4)-P(Z<1-(-3)4)

=P(Z<74)-P(Z<44)

=P(Z<1.75)-P(Z<1)

=0.9599-0.8413{From standardnormal table}

=0.1186

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