If you have X~N (80,10) A) Calculate P(X>95) B) P(85≤X≤90) ROUND TO 4 DECIMAL PLACES

Solutions

Expert Solution

Solution :

Given that ,

mean = = 80

standard deviation = = 10

(A)

P(x > 95) = 1 - P(x < 95)

= 1 - P((x - ) / < (95 - 80) / 10)

= 1 - P(z < 1.5)

= 1 - 0.9332

= 0.0668

Probability = 0.0668

(B)

P(85 X 90) = P((85 - 80 / 10) (x - ) / (90 - 80 / 10) )

= P(0.5 z 1)

= P(z 1) - P(z 0.5)

= 0.8413 - 0.6915

= 0.1498

Probability = 0.1498

orchestra answered 1 year ago

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