Question

Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie...

Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.699, and the probability of buying a movie ticket without a popcorn coupon is 0.301. If you buy 24 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)

Homework Answers

Answer #1

Here, probability of success, p = 0.699

q = 0.301

n = 24

We need to find P(X > 16)

This is equals to

P(X > 16) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24)

Now,

P(X = 17) = 24C17 * 0.69917 * (0.301)7 = 0.1759

Similarly for all others,

P(X = 18) = 24C18 * 0.69918 * (0.301)6 = 0.1589

P(X = 19) = 24C19 * 0.69919 * (0.301)5 = 0.1165

P(X = 20) = 24C20 * 0.69920 * (0.301)4 = 0.0676

P(X = 21) = 24C21 * 0.69921 * (0.301)3 = 0.0299

P(X = 22) = 24C22 * 0.69922 * (0.301)2 = 0.0094

P(X = 23) = 24C23* 0.69923 * (0.301)1 = 0.0019

P(X = 24) = 24C24 * 0.69924 * (0.301)0 = 0.00018

So, P(X > 16) = 0.56

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie...
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.676 , and the probability of buying a movie ticket without a popcorn coupon is 0.324 . If you buy 25 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie...
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.787, and the probability of buying a movie ticket without a popcorn coupon is 0.213. If you buy 20 movie tickets, we want to know the probability that more than 13 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie...
Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.656 , and the probability of buying a movie ticket without a popcorn coupon is 0.344 . If you buy 15 movie tickets, we want to know the probability that more than 10 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)
Consider a binomial probability distribution with p=.35 and n=7. what is the probability of the following?...
Consider a binomial probability distribution with p=.35 and n=7. what is the probability of the following? a. exactly three successes P(x=3) b. less than three successes P(x<3) c. five or more successes P(x>=5)
Study the binomial distribution table. Notice that the probability of success on a single trial p...
Study the binomial distribution table. Notice that the probability of success on a single trial p ranges from 0.01 to 0.95. Some binomial distribution tables stop at 0.50 because of the symmetry in the table. Let's look for that symmetry. Consider the section of the table for which n = 5. Look at the numbers in the columns headed by p = 0.30 and p = 0.70. Do you detect any similarities? Consider the following probabilities for a binomial experiment...
Suppose we have a binomial distribution with n trials and probability of success p. The random...
Suppose we have a binomial distribution with n trials and probability of success p. The random variable r is the number of successes in the n trials, and the random variable representing the proportion of successes is p̂ = r/n. (a) n = 44; p = 0.53; Compute P(0.30 ≤ p̂ ≤ 0.45). (Round your answer to four decimal places.) (b) n = 36; p = 0.29; Compute the probability that p̂ will exceed 0.35. (Round your answer to four...
Given a random sample size n=1600 from a binomial probability distribution with P=0.40 do the following......
Given a random sample size n=1600 from a binomial probability distribution with P=0.40 do the following... with probability of 0.20 Find the number of successes is less than how many? Please show your work
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable....
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $2,500, 10 first prizes of $450, 20 second prizes of $125, and 55 third prizes of $40. i. xx 0 40 125 450 2,500 P(x)P(x) Round probabilities to 4 decimal places ii. E(X)E(X) =...
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable....
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $4,000, 10 first prizes of $300, 30 second prizes of $100, and 65 third prizes of $20. i. x 0 20 100 300 4,000 P(x) ? ? ? ? ? The above is also...
7. You wish to test the following at a significance level of α=0.05α=0.05.       H0:p=0.85H0:p=0.85       H1:p>0.85H1:p>0.85 You...
7. You wish to test the following at a significance level of α=0.05α=0.05.       H0:p=0.85H0:p=0.85       H1:p>0.85H1:p>0.85 You obtain a sample of size n=250n=250 in which there are 225 successful observations. For this test, we use the normal distribution as an approximation for the binomial distribution. For this sample... The test statistic (zz) for the data =  (Please show your answer to three decimal places.) The p-value for the sample =  (Please show your answer to four decimal places.) The p-value is... greater than...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT