Question

Question 4. Suppose that the probability of detecting a present mutation along a stretch of DNA...

Question 4. Suppose that the probability of detecting a present mutation along a stretch of DNA is 0.9. Mutations are detected independently of one another.

a) Given that there are three mutations present, what is the probability that exactly one is detected?

b) Use the law of total probability to compute the probability that zero mutations are detected.

c) Given that no mutations are detected, what is the probability that at least one mutation was present?

d) Given that one mutation is detected, what is the probability that more than one mutation is present?

Note that P(X≤5)=0.9994 when X~Poisson(1). Therefore, you can assume that at most 5 mutations are present.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the probability of detecting a present mutation along a stretch of DNA is 0.9....
Suppose that the probability of detecting a present mutation along a stretch of DNA is 0.9. Mutations are detected independently of one another. a) Given that there are three mutations present, what is the probability that exactly one is detected? b) Use the law of total probability to compute the probability that zero mutations are detected. c) Given that no mutations are detected, what is the probability that at least one mutation was present? d) Given that one mutation is...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on...
1. An automobile manufacturer has determined that 33% of all gas tanks that were installed on its 2015 compact model are defective. If 16 of these cars are independently sampled, what is the probability that at least 6 of the sample need new gas tanks? 2. Use the Poisson Distribution Formula to find the indicated probability: Last winter, the number of potholes that appeared on a 9.0-mile stretch of a particular road followed a Poisson distribution with a mean of...
Question 4 (13 marks) Hereditary hemochromatosis (HH) is a recessively inherited genetic disorder resulting from mutations...
Question 4 Hereditary hemochromatosis (HH) is a recessively inherited genetic disorder resulting from mutations in the HFE gene. There are several possible mutations of different degrees of importance but the disease expresses itself only when at least 2 are present in any one individual. A blood analysis was performed on 3,000 blood samples from newborn babies of Caucasian descent in the state of Michigan, USA. The results showed that 163 of those sampled carried two mutations in the HFE gene....
Part 4: Probability In this part, you will work with probabilities. 1) Consider rolling two four...
Part 4: Probability In this part, you will work with probabilities. 1) Consider rolling two four sided dice. One die is blue and the other is green. (a) State the sample space. (b) Compute the probability of getting two even numbers. (c) Compute the probability of getting an even sum if the blue die rolls a 2. 2) What is the probability of drawing a four or a heart when drawing a single card from a standard deck of cards....
1. The CDC is using a rapid diagnostic test to measure the incidence of cholera in...
1. The CDC is using a rapid diagnostic test to measure the incidence of cholera in the Florida. It was determined that the probability of a + test given cholera was 95% while the probability of a - test given no cholera was 80%. It is estimated that 6% of the Floridian population may have cholera. a. Draw and label a tree diagram. Use N=10,000 for the population. Please draw and label completely this diagram with the Disease Status in...
Question 4: A-E parts A) Consider rolling two four sided dice. One die is blue and...
Question 4: A-E parts A) Consider rolling two four sided dice. One die is blue and the other is green. (1) State the sample space. (2) Compute the probability of getting two even numbers. (3) Compute the probability of getting an even sum if the blue die rolls a 2. B) (1)What is the probability of drawing a four or a heart when drawing a single card from a standard deck of cards? C) Consider a machine that fills 275...
2.15 A silver dollar is flipped twice. Calculate the probability of each of the following occurring:...
2.15 A silver dollar is flipped twice. Calculate the probability of each of the following occurring: a)   A head on the first flip b)   A tail on the second flip given that the first toss was a head c)   Two tails d)   A tail on the first and a head on the second e)   A tail on the first and a head on the second or a head on the first and a tail on the second f)   At least...
Multiple Choice Select the best answer from the available choices for each question. Which of the...
Multiple Choice Select the best answer from the available choices for each question. Which of the following is NOT part of the definition of a sample space S? S can be discrete or continuous Each outcome must be in S at most once Each element in S is equally likely Each outcome must be in S at least once S is a set of possible outcomes in an experiment Three A’s, three B’s, and two C’s are arranged at random...
Solutions for this exercise will not be posted. However, it is possible that questions from this...
Solutions for this exercise will not be posted. However, it is possible that questions from this exercise could appear on Midterm II. DEFINE ALL NOTATION!!!!! 1. Here is a pdf: . a) How do you know it is a continuous distribution? b) The constant a is positive. What is a? c) What is probability that the random variable X is equal to 1? d) What is F(-0.5)? e) What is the cdf of the random variable X? f) What is...
1.A fair die is rolled once, and the number score is noted. Let the random variable...
1.A fair die is rolled once, and the number score is noted. Let the random variable X be twice this score. Define the variable Y to be zero if an odd number appears and X otherwise. By finding the probability mass function in each case, find the expectation of the following random variables: Please answer to 3 decimal places. Part a)X Part b)Y Part c)X+Y Part d)XY ——- 2.To examine the effectiveness of its four annual advertising promotions, a mail...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT