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Answer question 1 & 2 asap please
Question 1 As shown in the Venn diagram below, P and Q are events in the sample space S. Indicate the event by shading the ap
Question 2 A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose
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Answer #1

Question 1)

S P

We have indicated \bar{Q} by gray color shade.

i.e. \bar{Q} means a region that does not include Q

Question 2)

Here p=1% = 0.01

And sample size is 80

This is Binomial Distribution

Therefore X~ B(n=80, p=0.01)

Now

a) mean = np= 80*0.01 = 0.8

Thus mean = 0.8

b) Standard deviation is,

\sigma=\sqrt{npq}

\sigma=\sqrt{80*0.01*0.99}

\sigma=\sqrt{0.792}

\sigma=0.8899

Thus standard deviation is 0.8899

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