Find the probability that x is between 5 and 15.(round your answer to 4 decimal places)...

Question

Question

Find the probability that x is between 5 and 15.(round your answer to 4 decimal places)

X~N(8,2)

Answer 1

Answer #1

Answer:

Given,

Mean = 8

Standard deviation = 2

P(5 < X < 15) = P((5 - 8)/2 < (x-u)/s < (15 - 8)/2)

= P(-1.5 < z < 3.5)

= P(z < 3.5) - P(z < - 1.5)

= 0.9997674 - 0.0668072 [since from z table]

= 0.9329602

= 0.9330

Probability = 0.9330

Answer 2

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