Question

(10 pts) The time in days to development of a tumor for rats exposed to a...

(10 pts) The time in days to development of a tumor for rats exposed to a carcinogen follows a Weibull distribution with α = 2 and β = 1000. What is the probability a rat will be tumor free at (a) 30 days? (b) 45 days? (c) 60 days?

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
The length of time in hours that a certain part lasts follows a Weibull distribution with...
The length of time in hours that a certain part lasts follows a Weibull distribution with parameters α = 2 and β = 2. a. What are the mean and standard deviation of this distribution? b. What is the probability that the part lasts less than 1 hour? c. What is the equation for the failure rate of the part? d. If the distribution is actually Gamma instead of Weibull find the equation for the failure rate of the part...
An experiment is designed to test the potency of a drug on 10 rats. Previous animal...
An experiment is designed to test the potency of a drug on 10 rats. Previous animal studies have shown that a 10-mg dose of the drug is lethal 5% of the time. a) What is the probability that exactly 2 rats will die? b) What is the probability that exactly 0 rats will die? c) What is the probability that 3 or more rats will die? d) What is the mean (or the expected number of deaths) and standard deviation...
Refer to Problem 6.42 which deals with lung capacity of rats exposed to ozone. Note: For...
Refer to Problem 6.42 which deals with lung capacity of rats exposed to ozone. Note: For consistency, please calculate the differences as After – Before for all questions. 'Rat','Before','After' 1,8.7,9.4 2,7.9,9.8 3,8.3,9.9 4,8.4,10.3 5,9.2,8.9 6,9.1,8.8 7,8.2,9.8 8,8.1,8.2 9,8.9,9.4 10,8.2,9.9 11,8.9,12.2 12,7.5,9.3 A. Are the differences normally distributed? Support your answer by including a qqplot of differences in your assignment. B. Is there sufficient evidence to support that ozone exposure increases lung capacity? Use the paired t-test with α=0.05. State the...
Application Exercise: A team of comparative psychologists are interested in the maternal behavior or rats. In...
Application Exercise: A team of comparative psychologists are interested in the maternal behavior or rats. In an experiment, 5, 20, and 30 day-old rat pups were separated from their mothers. They then recorded the time (in seconds) required for the mother rats to retrieve the pups. The psychologists were interest in whether retrieval time varies with age. The data are given below. What can be concluded with α = 0.05? 5 Days Old 20 Days Old 30 Days Old 16...
In a study of the effects of stress on behavior in rats, 75 rats were randomly...
In a study of the effects of stress on behavior in rats, 75 rats were randomly assigned to either a stressful environment or a control (nonstressful) environment. After 21 days, the change in weight (in grams) was determined for each rat. The table below summarizes data on weight gain. (The study report gave the standard error of the mean s/√n, abbreviated as SEM, rather than the standard deviation s.) Group n x¯ SEM Stress 20 23.26 3 No stress 55...
2. (4 pts) 60% of attendees at a sales conference are men. If you pick a...
2. (4 pts) 60% of attendees at a sales conference are men. If you pick a random sample of 18 attendees, a. Find the probability of exactly 10 men being selected. b. If you were asked to find the probability of exactly 8 women being selected, would your answer be the same as in part a? c. Find the probability of less than 12 men being selected. d. Find the probability of no women in the sample. 3. (4 pts)...
A graphing calculator is recommended. Three students, Linda, Tuan, and Javier, are given five laboratory rats...
A graphing calculator is recommended. Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three...
Q3 – Normal Distribution (10 pts). suppose we have 10 students with the following grades: 34,...
Q3 – Normal Distribution (10 pts). suppose we have 10 students with the following grades: 34, 67, 45, 87, 75, 49, 68, 59, 70, 74 Find sum, average, SD, Z-score what is the probability of a student to get 71 what is the probability to get a grade between 60 and 70 what is the probability to get a grade > 77
2. (20 pts) Suppose you are in line at Costco and there are 100 people in...
2. (20 pts) Suppose you are in line at Costco and there are 100 people in front of you. Assume that the time it takes each person in front of you to be served follows an Exponential distribution with expected value 4 (ignore units). Let X be the total time you wait for all 100 people in front of you to be served. (a) (2 pts) What is E[X]? (b) (2 pts) What is Var(X)? (c) (4 pts) What is...
Assume that the lifespan of an Asian hornet follows a Weibull distribution with parameters β =...
Assume that the lifespan of an Asian hornet follows a Weibull distribution with parameters β = 2.0 and δ = 62 days. a)Determine the probability that an Asian hornet lives longer than 50 days. b)Determine the mean time in days until death of an Asian hornet. c)Determine the median life time of Asian hornet in days. (Hint: For median, m , P ( X ≤ m ) = 0.5 , X i s t h e l i f e...