Two professors are applying for grants. Professor Jane has a probability of 0.61 of being funded. Professor Joe has probability
1 answer:
Answer:
a) 0.1769 = 17.69% probability that both professors get their grants funded.
b) 0.7231 = 72.31% probability that at least one of the professors will be funded.
c) 0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.
d) 0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not
Step-by-step explanation:
a. What is the probability that both professors get their grants funded?
Jane has a 0.61 probability of being funded.
Joe has a 0.29 probability of being funded.
So
0.1769 = 17.69% probability that both professors get their grants funded.
b. What is the probability that at least one of the professors will be funded?
None:
Jane has a 1 - 0.61 = 0.39 probability of not being funded.
Joe has a 1 - 0.29 = 0.71 probability of not being funded.
0.39*0.71 = 0.2769
At least one:
1 - 0.2769 = 0.7231
0.7231 = 72.31% probability that at least one of the professors will be funded.
c. What is the probability that Professor Jane is funded but Professor Joe is not?
Jane has a 0.61 probability of being funded.
Joe has a 1 - 0.29 = 0.71 probability of not being funded.
0.61*0.71 = 0.4331
0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.
d. Given at least one of the professors is funded, what is the probability that Professor Jane is funded but Professor Joe is not?
0.4331/0.7231 = 0.5989
0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not
You might be interested in
Given:
To find:
The simplified rational expression by subtraction.
Solution:
Let us factor . It can be written as
.
using algebraic identity.
LCM of
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.
Now, denominators are same, you can subtract the fractions.
Expand .