Give the numerical value of the parameter n in the following binomial distributi

ddaeeric

ddaeeric

Answered question

2021-09-27

Give the numerical value of the parameter n in the following binomial distribution scenario.
The probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. If you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include n= in your answer. Provide your answer below:

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-09-28Added 97 answers

Step 1
Probability of buying a movie ticket with a popcorn coupon (p)=0.597
Probability of buying a movie ticket without popcorn coupon (q)=0.403
Total number of movie tickets =18
Using Binomial probability distribution,
P=nCxpxqnx
Step 2
Calculate the probability that no more than 13 of the tickets have popcorn coupons.
P(X13)=1P(X>13)
=1(P(14)+P(15)+P(16)+P(17)+P(18))
=1[{18}C14(0.597)14(0.403)4+18C15(0.597)15(0.403)3+18C16(0.597)16(0.03)2+18C17(0.597)17(0.403)1+18C18(0.597)14(0.403)0]
=10.08995
=0.91005

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