Question

A guard works between 5 p.m. and 12 midnight; he sleeps an average of 1 hour...

A guard works between 5 p.m. and 12 midnight; he sleeps an average of 1 hour before 9 p.m. and 1.5 hours between 9 and 12. An inspector finds him asleep, what is the probability that this happens before 9 p.m.?

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

Homework Answers

Answer #1

The guard works for a total of 7 hours.

P(Time between 5 and 9) = 4/7

P(Time between 9 and 12) = 3/7

P(sleep between 5 and 9 PM) = 1/4

P(Sleep between 9 and 12) = 1.5/3 = 1/2

We need to find the probability:

P(Time between 5 and 9/ Sleeping)

= P(Sleeping between 5 and 9) / P(Sleeping)

{Using Bayes theorem}

Hence the required probability is 40%.

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

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
2. Henry works in a movie theater and his wage is initially $12 per hour and...
2. Henry works in a movie theater and his wage is initially $12 per hour and he usually works 30 hours per week. Henry’s boss gives him a raise and his wage increases to $15 per hour. Henry now decides to work 33 hours per week. (a) What is Henry’s labor supply elasticity? (b) Is Henry’s labor supply curve inelastic or elastic? Explain what this means in a few words. (c) Explain whether the income or substitution effect dominated after...
7. A store is expecting n deliveries between the hours of noon and 1 p.m. Suppose...
7. A store is expecting n deliveries between the hours of noon and 1 p.m. Suppose the arrival time of each delivery truck is uniformly distributed on this 1-hour interval and that the times are independent of one another. a) What percentage of the time the latest delivery arrives after 12:50? b) What percentage of the time the first delivery arrives before 12:10?
Shoppers enter Hamilton Place Mall at an average of 10 per five minute intervals (or 120...
Shoppers enter Hamilton Place Mall at an average of 10 per five minute intervals (or 120 per hour) a. What is the probability that exactly 5 shoppers enter the mall between noon and 12:05 p.m.? b. What is the probability that at least 2(i.e. 2 or more) shoppers enter the mall between 5:00 and 5:05 p.m.? c. If the number of shoppers entering the mall in different hours are independent of one another, find the expected number of shoppers entering...
Suppose that the time between arrivals of customers at a bank during the​ noon-to-1 p.m. hour...
Suppose that the time between arrivals of customers at a bank during the​ noon-to-1 p.m. hour has a uniform distribution between 0 and 30 seconds. a. What is the probability that the time between the arrivals of two customers will be less than 14 ​seconds? b. What is the probability that the time between the arrivals of two customers will be between 11 and 19 ​seconds? c. What is the probability that the time between the arrivals of two customers...
Roberto works in a factory making electric cars. Currently, his firm pays him $35 per hour...
Roberto works in a factory making electric cars. Currently, his firm pays him $35 per hour and he works 35 hours per week. Each hour he works he experiences disutility of effort from working valued at $5 per hour. In addition, should Roberto lose his job the government will pay him an unemployment benefit of $15 per hour, for each hour he would otherwise work each week, for a maximum of 20 weeks. Prior to the coronavirus pandemic if Roberto...
Roberto works in a factory making electric cars. Currently, his firm pays him $35 per hour...
Roberto works in a factory making electric cars. Currently, his firm pays him $35 per hour and he works 35 hours per week. Each hour he works he experiences disutility of effort from working valued at $5 per hour. In addition, should Roberto lose his job the government will pay him an unemployment benefit of $15 per hour, for each hour he would otherwise work each week, for a maximum of 20 weeks. Prior to the coronavirus pandemic if Roberto...
A company receives calls that follows exponential distribution with an average of 12 calls per hour....
A company receives calls that follows exponential distribution with an average of 12 calls per hour. The person has already waited 10 minutes for call, what is the probability that he will receive the call in the next 5 minutes?
In a lake, Peter catches fishes in an average rate of 3 fishes per hour. (Assume...
In a lake, Peter catches fishes in an average rate of 3 fishes per hour. (Assume Peter always catches one fish at a time and the events of catching each fish are independent.) (a) [10 points] At 2:00PM, if it’s known that Peter caught the previous fish at 1:50PM, what is the probability that he will catch the next fish before 2:30PM? (b) [10 points] Assume Peter starts catching fish at 9:00AM, what is the probability that he will catch...
1. Bob Brooks works a 37.5 hour week and his salary is $806.25. He and his...
1. Bob Brooks works a 37.5 hour week and his salary is $806.25. He and his employer agreed his salary covers all hours worked up to 40. This week, Brooks worked 43 hours. Brooks' . gross pay for the week is: a. $903.00 b. $806.25 c. $987.66 d. $1,038.75 2. There are a number of options for calculating overtime for an employee that works at more than one pay rate. Which of the following is not one of the methods?...
1. The average amount of time for a particular brand of dryer to break down is...
1. The average amount of time for a particular brand of dryer to break down is 13,500 hours of use. Let D be the amount of time for this dryer to break down (i.e. stop working). a) Identify the distribution, parameter(s), and support of D. b) What is the probability that the dryer will stop working break before the average time to breakdown? c) What is the probability that dryer operates over 16,600 hours before breaking down? d) What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT