Question

Binomial Distribution. Suppose that X has a binomial distribution with n = 50 and p = 0.6. Use Minitab to simulate 40 values of X.

MTB > random 40 c1;

SUBC > binomial 50 0.6.

Note: To find P(X < k) for any k > 0, use ‘cdf’ command; this works by typing:

MTB > cdf;

SUBC > binomial 50 0.6.

(a) What proportion of your values are less than 30? (b) What is the exact probability that X will be less than 30? (c) Find P(X < 28) and P(23 < X < 30) .

Answer 1

Use Minitab to simulate 40 values of X.

Steps

1. Name the column C1 as "X"
2. Calc-Random data-Binomial
3.   
4. ok

MINITAb output

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To find P(X < k) for any k > 0,

Steps

1. Graph-Empirical CDF
2.   
3. ok
4. 
5. ok

minitab output

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