Determine whether the given procedure results in a binomial distribution. If not

Question

Determine whether the given procedure results in a binomial distribution. If not, state the reason wh y. 3) 3) Rolling a single die 19 times, keeping track of the numbers that are rolled. 4) Rolling a single die 46 times, keeping track of the "fives" rolled. 5) Choosing 5 people (without replacement) from a group of 59 people, of which 15 are 4) 5) women, keeping track of the number of men chosen. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. 6) 7 7) n-30, x 12, p 0.20

Explanation / Answer

6) p(X=x) = (ncx) p^x(1-p)^(n-x)

P(X=5) = (30c5)*(0.2)^(5)*(1-0.5)^(30-5)

P(x=5) = 0.00013

7)

P(x= 12) = (30c12)*(0.20)^(12)*(1-0.20)^(30-12)

P(x=12) = 0.00638

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