Question

6. Below is the joint probability distribution of viral infection and strain in a population of...

6. Below is the joint probability distribution of viral infection and strain in a population of rats. Strain ! A B C Infected 0.25 0.19 0.03 Not infected 0.19 0.17 0.17 (a) If we randomly sample a rat, what is the probability it is infected with the virus? (b) If we randomly sample a rat, what is the probability it is of strain A? (c) What is the strain distribution among infected rats? (d) Are the random variables strain and infection independent?

strain A B C

INFECTED

0.25 0.19 0.03
NOT INFECTED 0.19 0.17 0.17

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the same Vespula necrotis a viral infection kills most of the population and reduced its...
In the same Vespula necrotis a viral infection kills most of the population and reduced its size to 500.  The frequency of  the b allele in the population after the frost is (0.87). (Show your work.) a) How many of the new population of wasps would be slashers?   _________ (2pts) b)  What is the frequency of Bb in the population? __________  (2pt) c. The slashers in the new population prove to be more resistant to the virus that remains in the population and their...
The world’s population (~8 billion) has been infected by a zombie outbreak with 25% of the...
The world’s population (~8 billion) has been infected by a zombie outbreak with 25% of the world’s population being infected with the virus. Assume you were on a bus meant to evacuate with 50 random strangers. Use this information to answer the following questions below 1----- Select the following choices necessary to apply Central Limit Theorem. Select one or more: a) The sample is mutually exclusive. b) The sample size is small. c) The sample size is large. d) The...
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X...
Consider joint Probability distribution of two random variables X and Y given as following f(x,y)   X        2   4   6 Y   1   0.1   0.15   0.06    3   0.17   0.1   0.18    5   0.04   0.07   0.13 (a)   Find expected value of g(X,Y) = XY2 (b)   Find Covariance of Cov(x,y)
Give a joint distribution for Boolean random variables A, B, and C for each scenario. Give...
Give a joint distribution for Boolean random variables A, B, and C for each scenario. Give a brief intuitive interpretation of the variables. The notation i(x, y) means that x and y are independent. looking for a basic understanding of independence in the context of probability. answer should explain how these indecencies will impact probabilities.
United Medicine, Inc., claims that a drug, Viro, significantly relieves the symptoms of a certain viral...
United Medicine, Inc., claims that a drug, Viro, significantly relieves the symptoms of a certain viral infection for 90 percent of all patients. Suppose that this drug is given to 15 randomly selected patients who have been diagnosed with the viral infection. (a) Let x equal the number of the 15 randomly selected patients whose symptoms are significantly relieved. What distribution describes the random variable x ? (B) Assuming that the company's claim is correct, find P(x ≤ 8). (c)...
The joint probability distribution of two random variables X and Y is given in the following...
The joint probability distribution of two random variables X and Y is given in the following table X Y → ↓ 0 1 2 3 f(x) 2 1/12 1/12 1/12 1/12 3 1/12 1/6 1/12 0 4 1/12 1/12 0 1/6 f(y) a) Find the marginal density of X and the marginal density of Y. (add them to the above table) b) Are X and Y independent? c) Compute the P{Y>1| X>2} d) Compute the expected value of X. e)...
Use the probability distribution given in the table below and consider two new random​ variables, W​...
Use the probability distribution given in the table below and consider two new random​ variables, W​ =  6+7X and V​ =3+1Y​, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain​(X= 0) No Rain(X= 1) Total Long commute(Y= 0) 0.79 0.03 0.82 Short commute(Y= 1) 0.04 0.14 0.18 Total 0.83 0.17 1.00 A.Compute the mean of W. E(W)​= (Round your response to two decimal places​) B.Compute the mean of V. E(V)​= (Round your response to two...
WILL LIKE POST!!!!! 2. A continuous uniform random variable defined between 0 and 12 has a...
WILL LIKE POST!!!!! 2. A continuous uniform random variable defined between 0 and 12 has a variance of: Select one: a. 12 b. 24 c. 144 d. 6 5.A probability plot shows: Select one: a. Percentile values and best fit distribution. b. Percentile values of a proposed distribution and the sample percentages. c. Percentile values of a proposed distribution and the corresponding measurements. d. Sample percentages and percentile values. 7. Consider a joint probability function for discrete random variables X...
The number of meals per day, X, Sarah consumes, has the following distribution. x 2 3...
The number of meals per day, X, Sarah consumes, has the following distribution. x 2 3 4 5 p(x) 0.25 0.35 0.25 0.15 Assume that the number of meals Sarah consumes is independent is from day to day. A. If two days are selected at random, what is the sampling distribution of the mean? B. Find the expected value and variance for both X and X?. C. If 40 days are randomly selected, what is the probability that the sample...
a Since the sampling distribution is approximately normal, use the NORM.DIST function to determine the probability...
a Since the sampling distribution is approximately normal, use the NORM.DIST function to determine the probability that a randomly selected sample of size n = 60 will have a sample proportion of females less than .2, i.e., 20%. b. Suppose the company claims that they randomly selected from this population and the random sample contains 8 females out of 60. Draw a data distribution. c. considering the last part, do you believe that the company truly randomly sampled from the...