Question

7. The space shuttle can be launched any time between 10 and 40 minutes after the crew boards. Assume a uniform density funct

0 0
Add a comment Improve this question Transcribed image text
Answer #1
here for uniform distribution parameter a =10 and b=40
F(x)=(x-a)/(b-a) =(x-10)/30

P(shuttle launches between 15 and 25 minutes after the crew arrives)

=P(15 <X<25) =P(X<25)-P(X<15) =(25-10)/30-(15-10)/30 =10/30 =1/3 =0.3333

Add a comment
Know the answer?
Add Answer to:
7. The space shuttle can be launched any time between 10 and 40 minutes after the...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus s...

    2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus stop on the route, his minimum waiting time is 0 minutes and his maximum waiting time is 10 minutes, and between these two times, all possible waiting times are equally likely. Write down the probability density function for waiting times on the bus route and draw the distribution. What is the expected waiting time? What is the standard...

  • Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes...

    Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes late. Let X represent the length of time in minutes that Kate is late and assume it has a uniform distribution.(Note: Labelled diagrams and proper notation are required for all parts.) a) Draw the probability density of X. b) Find the probability that Kate will be no more than 10 minutes late. c) Find the probability that Kate will be between 15 and 20...

  • The probability density function of the time a customer arrives at a terminal (in minutes after...

    The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is rx) = 0.5 e-x/2 for x > 0, Determine the probability that (a) The customer arrives by 11:00 A.M. (Round your answer to one decimal place (e.g. 98.7) (b) The customer arrives between 8:16 A.M. and 8:31 A.M. (Round your answer to four decimal places (e.g. 98.7654)) (c) Determine the time (in hours A.M. as decimal) at which the probability of...

  • 5. A shop has an average of five customers per hour (a) Assume that the time T between any two cu...

    A shop has an average of five customers per hour 5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...

  • The amount of time in minutes a person must wait for an Uber is from 0...

    The amount of time in minutes a person must wait for an Uber is from 0 and 25 minutes, inclusive, with a uniform probability distribution. Find the probability that the wait time for an Uber for a randomly selected person, is between 10 to 15 minutes.

  • The time it takes a student to finish a chemistry test is uniformly distributed between 50...

    The time it takes a student to finish a chemistry test is uniformly distributed between 50 and 70 minutes. What is the probability density function for this uniform distribution? Find the probability that a student will take between 40 and 60 minutes to finish the test. Find the probability that a student will take no less than 55 minutes to finish the test. What is the expected amount of time it takes a student to finish the test? What is...

  • time between calls to a plumbing supply business is esponenially with a mean time between calls of 15 minute (a) what is the probability that there are distributed no calls within a 30-minute i...

    time between calls to a plumbing supply business is esponenially with a mean time between calls of 15 minute (a) what is the probability that there are distributed no calls within a 30-minute interval; (b) what is the probability that at least one call arrives within a 10-minute interval: (c) what is the probability that the first call arrives within 5 and 10 minutes after opening: (d) determine the length of an interval of time such that the probability of...

  • The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M.

    The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M. (a) Find the probability density function for the random variable t. (Let t-0 represent 10:00 A.M.) (b) Find the mean and standard deviation of the the arrival times. (Round your standard deviation to three decimal places.) (с) what is the probability that you will miss the bus if you amve at the bus stop at 10:02 A M ? Round your answer...

  • PLEASE SHOW WORKING A passenger is on a plane with one stop in Chicago. The arrival...

    PLEASE SHOW WORKING A passenger is on a plane with one stop in Chicago. The arrival time of airplane in Chicago is a random variable X with a uniform distribution between 40-50 minutes. The connecting flight will depart from Chicago in one hour. The time for the passenger to get off the plane and then run the connecting flight before its door is closed will be another random variable Y with a uniform distribution between 12 minutes to 22 minutes.DO...

  • A group of 10 people agree to meet for lunch at a cafe between 12 noon...

    A group of 10 people agree to meet for lunch at a cafe between 12 noon and 12:15 P.M. Assume that each person arrives at the cafe at a time uniformly distributed between noon and 12:15 P.M., and that the arrival times are independent of each other. Jack and Jill are two members of the group. Find the probability that Jack arrives less than two minutes before Jill.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT