  X157Pr(X x)0.50.350.10.05a)What is the probability that X is at most 6.7?b)What is the probability that X is at least 6.7?Determine the expected value of X, i.e. mean of Xc)Determine the variance of X.d)

Question help_outlineImage TranscriptioncloseX 1 5 7 Pr(X x) 0.5 0.35 0.1 0.05 a) What is the probability that X is at most 6.7? b) What is the probability that X is at least 6.7? Determine the expected value of X, i.e. mean of X c) Determine the variance of X. d) fullscreen
Step 1

The given probability distribution is shown below: help_outlineImage TranscriptioncloseX Р(Х-х) 1 0.5 3 0.35 5 0.1 7 0.05 Total 1 fullscreen
Step 2

a.

The probability that X is at most 6.7 is obtained as follows: help_outlineImage TranscriptioncloseP(XS6.7) P(X-1) + P(X=3)+ P(X=5) 0.50.350.1 =0.95 fullscreen
Step 3

b.

The probability that X is at least 6.7 is ob...

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