Lily estimates that her time to fall asleep each night is, Ask an Expert

Statistics

Lily estimates that her time to fall asleep each night is approximately exponentially distributed. It takes her an average of 30 minutes to fall asleep.

a) Write out fx(x) and Fx(x) for X, the number of minutes it takes Lily to fall asleep.

b) What is the probability that it takes her less than 10 minutes to fall asleep?

c) What is the probability that it takes her more than an hour to fall asleep?

d) If she has already lain awake for 1 hour, what is the probability that it will take her more than 90 minutes to fall asleep?

e) Lily went to bed at 9:45 pm. At 11:00 pm, her husband found her asleep in bed. Knowing this, what is the probability that she fell asleep before 10:30 pm?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9993375

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Now assume that i am talking about a normally distributed

Now assume that I am talking about a normally distributed set of data: An IQ test. This IQ test has a mean of 100 and a standard deviation of 15. Find the following probabilities What is the probability that someone scor ...

In a sample of 28 cups of coffee at the local coffee shop

In a sample of 28 cups of coffee at the local coffee shop, the average temperature was 162.5 degrees with a standard deviation of 16.7 degrees. What would be the 95% confidence interval for the temperature of your cup of ...

The local police department must write an average of 5

The local police department must write an average of 5 traffic tickets each day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of ...

If you flip five coins what is the probability that you

If you flip five coins what is the probability that you will get at least three heads?

You have a bag with three fair dice one is 4-sided one is

You have a bag with three fair dice. One is 4-sided, one is 6-sided, and one is 12-sided. You reach into the bag, pick one die at random, and roll it. The outcome of the roll is 4. What is the probability that you rolled ...

When alice spends the day with the babysitter there is a 05

When Alice spends the day with the babysitter, there is a 0.5 chance she turns on the TV and watches a show. Her little sister Betty cannot turn on the TV by herself. But once the TV is on, Betty watches with probability ...

The probability of the mets winning a game against the

The probability of the Mets winning a game against the Diamondbacks is 3/4. If they are playing a three-game series this weekend, what is the probability that the Mets will win at least 2 out of 3 games?

1 out-of-state tuition and fees at the top graduate

1. Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but the starting salary and bonus paid to graduates from many of these schools can be substantial. The following data show t ...

The contents of a particular bottle of shampoo marked as

The contents of a particular bottle of shampoo marked as 150 ml are found to be 153 ml at an average, with a standard deviation of 2.5 ml. What proportion of shampoo bottles contain less than the marked quantity? Assume ...

Sixty percent of adults have looked at their credit score

Sixty percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 25 of them have looked at their score in the past six months?

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert