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Question 1: Given the following probability distribution for a random variable X: x P(X=x) -2 0.30 -1 0.15 0 0.20 1 0.20 2 0.15 a) Explain two reasons...

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Statistics

Question 1:
Given the following probability distribution for a random variableX: x P(X=x)
-2
0.30
-1
0.15
0
0.20
1
0.20
2
0.15
a) Explain two reasons why the above distribution is a validprobability distribution.
b) Calculate μX and σX.
c) Determine the cdf(X), and write it as an additional column inthe table.
d) Calculate P(−1e) Draw a histogram that represents the probability distribution ofX.

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Question 1 The probability distribution of X isx21012TotalPXx0300150200150151a i Since forevery value of Xii    See Answer
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