Question

You conduct 24 Bernoulli trials with probability 0.65 of success. What is the probability that you...

You conduct 24 Bernoulli trials with probability 0.65 of success. What is the probability that you will obtain exactly 11 or fewer successes? Round your answer to three decimal places. even if the third decimal place is a 0.

Homework Answers

Answer #1

This is a binomial distribution.

p = 0.65

n = 24

P(X = x) = 24Cx * 0.65x * (1 - 0.65)24-x

P(X < 11) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11)

               = 24C0 * 0.650 * 0.3524 + 24C1 * 0.651 * 0.3523 + 24C2 * 0.652 * 0.3522 + 24C3 * 0.653 * 0.3521 + 24C4 * 0.654 * 0.3520 + 24C5 * 0.655 * 0.3519 + 24C6 * 0.656 * 0.3518 + 24C7 * 0.657 * 0.3517 + 24C8 * 0.658 * 0.3516 + 24C9 * 0.659 * 0.3515 + 24C10 * 0.6510 * 0.3514 + 24C11 * 0.6511 * 0.3513

               = 0.042

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
You conduct 82 Bernoulli trails with probability 0.829 of success. What is the probability that you...
You conduct 82 Bernoulli trails with probability 0.829 of success. What is the probability that you will obtain exactly 36 successes? Round your answer to three decimal places. even if the third decimal place is a 0.
Consider a binomial experiment with 16 trials and probability 0.65 of success on a single trial....
Consider a binomial experiment with 16 trials and probability 0.65 of success on a single trial. (a) Use the binomial distribution to find the probability of exactly 10 successes. (Round your answer to three decimal places.) (b) Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to three decimal places.)
Consider a binomial experiment with 15 trials and probability 0.65 of success on a single trial....
Consider a binomial experiment with 15 trials and probability 0.65 of success on a single trial. (a) Use the binomial distribution to find the probability of exactly 10 successes. (Round your answer to three decimal places.) (b) Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to three decimal places.) (c) Compare the results of parts (a) and (b). These results are almost exactly the same.These results are fairly different.
Let the probability of success on a Bernoulli trial be 0.21. a. In seven Bernoulli trials,...
Let the probability of success on a Bernoulli trial be 0.21. a. In seven Bernoulli trials, what is the probability that there will be 6 failures? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. In seven Bernoulli trials, what is the probability that there will be more than the expected number of failures? (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Let the probability of success on a Bernoulli trial be 0.16. a. In seven Bernoulli trials,...
Let the probability of success on a Bernoulli trial be 0.16. a. In seven Bernoulli trials, what is the probability that there will be 6 failures? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) b. In seven Bernoulli trials, what is the probability that there will be more than the expected number of failures? (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
Let the probability of success on a Bernoulli trial be 0.28. a. In five Bernoulli trials,...
Let the probability of success on a Bernoulli trial be 0.28. a. In five Bernoulli trials, what is the probability that there will be 4 failures? (Do not round intermediate calculations. Round your final answers to 4 decimal places.) b. In five Bernoulli trials, what is the probability that there will be more than the expected number of failures? (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7....
1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.) Two successes P(X = 2) = 2. You are performing 5 independent Bernoulli trials with p = 0.4 and q = 0.6. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.) Three successes P(X =...
A Bernoulli Trials experiment consists of 4 trials, with a 1/3 probability of success on each...
A Bernoulli Trials experiment consists of 4 trials, with a 1/3 probability of success on each trial. What is the probability of at least 1 success given there are failures? What is the probability there are failures given there are successes? Show Work This is the question as it was asked in class. What is the probability that there is at least 1 success given that there are any failures? What is the probability that there are any failures given...
a. In a binomial distribution with 9 trials and a success probability of 0.4, what would...
a. In a binomial distribution with 9 trials and a success probability of 0.4, what would be the probability of a success on every trial? Round to 4 decimal places. b. In a binomial distribution with 12 trials and a success probability of 0.6, what would be the probability of a success on every trial? Round to 4 decimal places. c. A binomial distribution has a success probability of 0.7, and 10 trials. What is the probability (rounded to 4...
You are performing 7 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate...
You are performing 7 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to five decimal places.) At least three successes P(X ≥ 3) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT