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standard deviation

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Question

Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.1,

find the following probabilities. (Round your answers to four decimal places.)

(a)  P(x ≤ 60)

1

(b)  P(x ≥ 50)

2

(c)  P(50 ≤ x ≤ 60)

3

 
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A machine that manufactures automobile

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Question

A machine that manufactures automobile parts produces defective

parts 15

%

 of the time. If 6

 parts produced by this machine are randomly selected, what is the probability that at most 1

 of the parts are defective

 
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A new surgery is successful 70%

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Question

A new surgery is successful 70% style=”color:rgb(0,0,0);”> of the time. If the results of 9 such surgeries are randomly sampled, what is the probability that at least 7 of them are successful?

 
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The unemployment rate in a city is 14%

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Question

The unemployment rate in a city is 14% style=”color:rgb(0,0,0);”>. If 10 people from the city are sampled at random, find the probability that more than 1 of them is unemployed.

 
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