Let X denotes the number of boys in families with 3 children. The probability that any one child is a boy is 0.5 a) Write down the probability distribution of X b) What is the expected value of X? What does it mean? c) What is the standard deviation of X? d) What is the cumulative distribution function of X? e) What type of distribution do you expect this to be? Write the parameters of the distribution?

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A: The provided information is  x P(X=x)=P(x) x*P(x) x2*P(x) 0 0.0857 0 0 1 0.2447 0.2447 0.2447…

Q: Handwritten

A: Step 1: Step 2: Step 3: Step 4:

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Q: please ask a and

A: a)PX is even∪X≥7=PX=2+PX=4+PX=6=f2+f4+f6=0.25+0.1+0.1=0.45   Therefore, the probability that X is…

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A: Note: According to our guidelines we can answer only three subparts and rest can be repost.

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A:

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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

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A: The provided information are: Population mean μ=32Population standard deviationσ=9

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A: given data  X~N(17,5)x¯~N(17,0.8451)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.