Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.Give your answer to four decimal places.1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?

Question
Asked Sep 15, 2019

Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.
Give your answer to four decimal places.

1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?

check_circleExpert Solution
Step 1

It is given that probability of Jane funded is 0.66 and probability of Joe funded is 0.29.

Step 2

The required probability is ...

P(Jane funded but not Joe)
Required probability
P(At least one of the professors is funded)
P(Jane funded) (1-P(Joe funded))
1 - P(No professor is funded)
0.66 x (1-0.29)
1-((1-0.66) (1-0.29))
0.4686
=
0.7586
=0.6177
help_outline

Image Transcriptionclose

P(Jane funded but not Joe) Required probability P(At least one of the professors is funded) P(Jane funded) (1-P(Joe funded)) 1 - P(No professor is funded) 0.66 x (1-0.29) 1-((1-0.66) (1-0.29)) 0.4686 = 0.7586 =0.6177

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Measures

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: You study for an exam, but due to the fact that you waited too long, you only learn 40% of the mater...

A: Part (a):If a question is such that the answer is not known to the student, then they would depend u...

question_answer

Q: . A tire manufacturer claims that the mean life of a certain type of tire is more than 30,000 miles....

A: The claim is provided as that the mean,   life of a certain type of tire is more than 30,000 miles.a...

question_answer

Q: What is the z-score of the 31st percentile?

A: The z-score for the 31st percentile is the value such that 31% of the area under the standard normal...

question_answer

Q: Hello, I just wanted to know how to start and workout this problem. The wording seems confusing and ...

A: Click to see the answer

question_answer

Q: Given a set of normally distributed scores with the mean of 20.00 and SD of 5.00, what proportion of...

A: We are givenμ = 20, σ = 5a)We have to find P( 10 < x < 28 )

question_answer

Q: In a population of N elements, R are red and W=N-R are white. A group of n elements is selected at r...

A: The provided information are:Total elements in a population are N.Out of which R are red and W=N-R a...

question_answer

Q: Until 2005, the UPC bar code had 14 digits (0–9). The first four digits represent the manufacturer, ...

A: a)As only the first 4 digits represent the manufacturers, we will only take into account different c...

question_answer

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

question_answer

Q: please answer the whole question  (3) Let x be per capita income in thousands of dollars. Let y be t...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...