Question

Suppose x has a distribution with μ = 84 and σ = 11. Find P(80 ≤...

Suppose x has a distribution with μ = 84 and σ = 11.


Find P(80 ≤ x ≤ 85). (Round your answer to four decimal places.)

Math   Statistics-And-Probability   
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Answer #1

Solution :

P(80 ≤ x ≤ 85)

= P[(80 - 84 / 11) (x - ) / (85 - 84 / 11) ]

= P(-0.36 z 0.09)

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

= 0.5359 - 0.3594

= 0.1765

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