Dilbert forgot to study for the multiple-choice exam.

Dilbert forgot to analyze when it comes to multiple-choice exam. Each concern features four alternatives and you will find 50 concerns. Dilbert, in the endless knowledge, chooses to arbitrarily imagine for each issue. Get the likelihood per:

x~bin(50,0.25)
P(x) = 50Cx *0.25^x *0.75^(50-x)
a. P(30 <= x <= 50) = 1.642286e-7 b. P(20 <= x <= 29) = 0.01391744 c. P(10 <= x <= 19) = 0.8223985 d. P(0 <= x<= 9) = 0.1636839

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