Question

Suppose x has a distribution with μ = 80 and σ = 11. Find P(76 ≤...

Suppose x has a distribution with μ = 80 and σ = 11.

Find P(76 ≤ x ≤ 81). (Round your answer to four decimal places.)

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 80

standard deviation = = 11

P(76 x 81 )

= P[(76-80/11) (x - ) / (81-80 /11)]

= P(-4/11 z 1/11)

= P( -0.36 z 0.09)

= P(z 0.09) - P(z -0.36)

= 0.5359 - 0.3594

Probability = 0.1765

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