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In: Statistics and Probability

8. MINITAB QUESTION: Suppose that X ~ B(50, 0.4). Use MINITAB to simulate 30 values of...

8. MINITAB QUESTION: Suppose that X ~ B(50, 0.4). Use MINITAB to simulate 30 values of X by typing in the following commands:

MTB > random 30 c1;| SUBC > binomial 50 0.4.

(A) What percentage of your values are less than 20?
(B) What percentage of your values fall between 14 and 18 inclusive?

(C) MINITAB has a “cdf” command that computes P(X ≤ x) for each possible value of x. Enter the commands:

MTB > cdf;
SUBC > binomial 50 0.4.

Use the resulting output to compute P( X < 20) and P(14 ≤ X ≤ 18) . How do these probabilities compare to the relative frequencies you observed in parts (A) and (B)?

(D) If you simulated 1,000 values of X, how many of them would you expect to be less than 20?

Please exports/screenshot from Minitab, not photos

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