Question

(1 point) Rework problem 29 from section 4.1 of your text about the professor who sometimes...

(1 point) Rework problem 29 from section 4.1 of your text about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/9. Assume that her forgetting is a Bernoulli process.

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?


(2) What is the probability that she forgets to bring her briefcase every day in one week (5 days)?


(3) What is the probability that she forgets to bring her briefcase at least one day in one week (5 days)?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

p = 1/9, n = 5, q = 1 - p = 1 - 1/9 = 8/9

p = probability of forgetting the briefcase on a day

q = probability of not forgetting the briefcase on a day.

1) P(she remembers to bring everyday) =

Hence probability that she remembers to bring her briefcase everyday in one week is 32768/59049 or 0.5549 (approx.)

2) P(She forgets everyday) =

Hence probability that she forgets to bring her briefcase everyday in one week is 1/59049 or 0.0000169 (approx.)

3) P(forgets at least one day) = 1 - P(remembers everyday)

Hence probability that she forgets to bring her briefcase at least one day in one week is 26281/59049 or 0.4451 (approx.)

Approx answers are from calculator.

Please comment if any doubt. Thank you.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Rework problem 7 from section 4.1 of your text involving the computation of probabilities for a...
Rework problem 7 from section 4.1 of your text involving the computation of probabilities for a Bernoulli trial. Assume that n = 12, and p = 8/10. Find the probability of at least 3 successes and at least 2 failures.
Rework problem 4 from section 4.1 of your text involving the computation of probabilities for Bernoulli...
Rework problem 4 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 3 successes in 5 trials with q = 0.7:   (2) 3 failures in 6 trials with q = 0.6:
Rework problem 5 from section 4.1 of your text involving the computation of probabilities for Bernoulli...
Rework problem 5 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) At least 3 successes in 9 trials with p = 0.65 (2) At least 8 failures in 10 trials with p = 0.2
Rework problem 11 from section 4.1 of your text involving the flipping of a weighted coin....
Rework problem 11 from section 4.1 of your text involving the flipping of a weighted coin. Assume that the coin is weighted so that a tail is 8 times as likely as a head. The coin is flipped 12 times. What is the probability that both heads and tails occur?
(1 point) Rework problem 29 from section 1.4 of your text, involving the flipping of a...
(1 point) Rework problem 29 from section 1.4 of your text, involving the flipping of a coin. A coin is flipped. If a heads is flipped, then the coin is flipped 5 more times and the number of heads flipped is noted; otherwise (i.e., a tails is flipped on the initial flip), then the coin is flipped 3 more times and the result of each flip (i.e., heads or tails) is noted successively. How many possible outcomes are in the...
(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks...
(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 12 board members: 7 females, and 5 males including Robert. There are 4 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. (1) Find the probability that both males and females are given a task. (2) Find the probability that Robert and at least one female are given...
Rework problem 27 from section 3.2 of your text, involving the mice in a cage. For...
Rework problem 27 from section 3.2 of your text, involving the mice in a cage. For this problem, assume there are 1 grey females, 5 grey males, 4 white females, and 3 white males. As in the book, the biologist selects two mice randomly. What is the probability of selecting two males given that both are grey? What is the probability of selecting 1 mouse of each gender given that both are grey?
Rework problem 11 from section 2.4 of your text (page 81) about your friend who has...
Rework problem 11 from section 2.4 of your text (page 81) about your friend who has tickets to a concert and who selects 2 of them at random to give to you, but assume that your friend has 11 tickets of which 4 are in the front row and 7 are in the tenth row. (1) What is the probability that both of the tickets you receive are in the front row? equation editorEquation Editor (2) What is the probability...
Rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assume...
Rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assume that the committee contains 6 men and 8 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Rework problem 23 from section 2.4 of your text involving congressional committees. Assume that the committee...
Rework problem 23 from section 2.4 of your text involving congressional committees. Assume that the committee consists of 6 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT