Question

A random sample of =100 observations is selected from a population with μ=31and sigma equals 25σ=25....

A random sample of =100 observations is selected from a population with μ=31and sigma equals 25σ=25.

Approximate the probabilities shown below.

a.

​ P(x overbarxgreater than or equals≥​28)

b.

​ P(22.1less than or equals≤x overbarxless than or equals≤​26.8)

c.

​ P(x overbarxless than or equals≤​28.2)

d.

​ P(x overbarxgreater than or equals≥​27.0)

a P(x overbarxgreater than or equals≥​28)=________​(Round to three decimal places as​ needed.)

b.

​ P(22.1less than or equals≤x overbarxless than or equals≤​26.8)=__________(Round to three decimal places as​ needed.)

c.

​ P(x overbarxless than or equals≤​28.2)=__________(Round to three decimal places as​ needed.)

d.

​ P(x overbarxgreater than or equals≥​27.0)=_____(Round to three decimal places as​ needed.)

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Answer #1

Answers:

a)0.885

b)0.046

c)0.131

d)0.945

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Explanations

T2.5 : -2( 28) 5 Q8-31 (b) P (2-12天2Q6.g 291-8 2.5 2 5 啞(-1.68)-虱-3.56)

Qo5 25 : ФС 1-12): 1-5(112) -01313569 |-y-3-ㄥ 25 31 Anot)

Distribution Plot Normal, Mean-31, StDev-2.5 Distribution Plot Normal, Mean-31, StDev 2.5 0.18 0.18 0.16 0.14 0.12 2 0.10 a 0.08 0.06 0.04 0.16 0.14 0.12 2 0.10 O 0.08 0.06 0.8849 0.04 0.02 0.02 0.04629 0.00 0.00 28 22.1 26.8

Distribution Plot Normal, Mean 31, StDev-2.5 Distribution Plot Normal, Mean 31. StDev-2.5 0.18 0.16 0.14 0.12 0.10 O 0.08 0.06 0.04 0.02 0.00 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0.00 0.9452 0.1314 28.2 31 27 31

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