For people with a certain disease, the length of time Y spent in remission is described by the following pdf

f(y) = (1/9)y^2, 0<=y<=3

where Y is measured in years.

What is the probability that a patient's remission lasts longer than 1 year?

Solution Preview

So, we have the pdf, (1/9) y^2, 0<=y<=3. To calculate probabilities from a pdf, we integrate. We are looking for the probability that remission lasts longer ...

Solution Summary

A step-by-step solution is provided in which it is demonstrated how to find probabilities. Attachment included.

If x is normally distrubed with u = 20.0 and o = 4.0, determine the following:
a. P(x > 20.0)
b. P(16.0 < x < 24.0)
c. P(X < 12)
d. P(x = 22.0)
e. P(12.0 , x , 28.0)
f. P(x 15)

Markov Processes
5. For a situation with weekly dining at either an Italian or Mexican restaurant,
a. the weekly visit is the trial and the restaurant is the state.
b. the weekly visit is the state and the restaurant is the trial.
c. the weekly visit is

A wheel with the following probabilities is spun:
Prob(1)= 0.50, Prob (2) = 0.20, Prob (3) = 0.30
If the wheel is spun 3 times find probability that the sum of numbers you get = 6

The time spent using e-mail per session is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 25 sessions, then:
a. What is the probability that the sample mean is between 7.8 and 8.2 minutes?
b. What is the probability that the sample mean is between 7.5 and 8.2 minutes?
c. If you sel

I have been struggling with theses two following problems:
illustration: age a(0.00%) b(0.01-0.9%) c(>_0.10%)
d 0-19 142 7 6 155
e 20-39 47 8 41 96
f 40-59 29 8 77

Historically, 70% of your customers at Rodale Emporium pay for their purchases using credit cars. In a sample of 20 customers, find the probability that
a. Exactly 14 customers will pay for their purchases using credit cards.
b. At least 10 customers will pay for their purchases using credit cards.
c. At most 12 customers

A medical test for malaria is subject to some error. Given a person who has malaria, the
probability that the test will fail to reveal the malaria is 0.06. Given a person who does not
have malaria, the test will correctly identify that the person does not have malaria with
probability 0.91. In a particular area, 20% of the

I need some guidance in how to calculate probabilities without knowing the std deviation.
Population = 3005
calculate P(x-bar > 50.8) for sample size of n = 253
calculate P(x-bar > 50.6) for sample size of n = 134
calculate P(x-bar > 51) for sample size of n = 119
Then combine the two probabilities 51 a

I need help with the following questions. Please show your work so I can practice with other problems.
Thank you
An oil company purchased an option on land in Oklahoma. Preliminary studies assigned the follwing prior probabilities.
P(high-quality oil) = .50
P(medium-quality oil) = .20
P(no oil) = .30
a. What is t