Lily estimates that her time to fall asleep each night is

Reference no: EM13615798

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?

Reference no: EM13615798

Questions Cloud

Ogonquit operates five days per week with an average weekly : ogonquit operates five days per week with an average weekly payroll of 4150. ogonquit pays its employess every

Steve and his friends are relaxing at a local tavern the : steve and his friends are relaxing at a local tavern. the number of drinks that steves table receives is poisson

Calculate delta h and delta stot when two iron blocks each : assume that all gases are perfect and that data refer to 298.15 k unless otherwise stated. calculate delta h and delta

If you were interested in evaluating the profitability of : if you were interested in evaluating the profitability of a company and could have only limited historical data would

Lily estimates that her time to fall asleep each night is : lily estimates that her time to fall asleep each night is approximately exponentially distributed. it takes her an

An electron is released from rest at the point midway : two stationary positive point charges charge 1 of magnitude 3.20nc and charge 2 of magnitude 1.50nc are separated by a

Let f be the number of failures on the network during one : the alphacor company experiences some type of failure on its computer network on average once every 4 hours. assume

Corporation ended its first year of operations withtaxable : corporation ended its first year of operations withtaxable income of 225000. at the time of pheasantsformation it

Te iasc 1998 p50 stated that many developing and newly : the iasc 1998 p.50 stated that many developing and newly industrialised countries are using international accounting

User Account

All Pages