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2. Given events A, B, and C such that P(A) = .3, P(B) = .2, and P(C) = .5. Events A and B are independent. Compute P(An B|C).

2. Given events A, B, and C such that P(A) = .3, P(B) = .2, and P(C) = .5. Events A and B are independent. Compute P(An B|C).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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9:53 5G 60 Expert Q&A Answer the followring questions and show all the steps Done 2. Given events A, B, and C such that P(A) = .3, P(B) = .2, and P(C) = .5. Events A and B are independent. Compute P(An B|C). 3. Suppose the probability that a six sided die will land on an odd number is .45. If we roll the die seven times, what is the probability that we will get less than four odd numbers. Assume die rolls are independent. 4. . If the probability of a success in a chance experiment is .32, and we continue to perform trials of the experiment until our first success, what is the probability that the chance experiment will run for more than three trials. Assume all trials are independent. 5. Compute the following probabilities for the following normal distributions: (a) μ=1,o=.5findP(.7<x<1.2). (b) u=15,0=2findP(13<x). (c) μ=100,o=12find P(x<97orx>106). 6. Given the following probabilities from a normal distribution with random variable x corresponding to μ = 4 and o= .8 then compute the following x* value. (a) P(Z < z*) = .9861 (b) P(z > z*) = .8264 (c) P(z<-z orz>z*)=.25 7. What is a sufficient sample size for constructing a 90% confidence interval with margin of error, M equal to 3%. 8. Construct a 95% confidence interval for the population mean given sample mean x = 7.5, sample standard deviation s = .49, and sample size n = 9.
Transcribed Image Text:9:53 5G 60 Expert Q&A Answer the followring questions and show all the steps Done 2. Given events A, B, and C such that P(A) = .3, P(B) = .2, and P(C) = .5. Events A and B are independent. Compute P(An B|C). 3. Suppose the probability that a six sided die will land on an odd number is .45. If we roll the die seven times, what is the probability that we will get less than four odd numbers. Assume die rolls are independent. 4. . If the probability of a success in a chance experiment is .32, and we continue to perform trials of the experiment until our first success, what is the probability that the chance experiment will run for more than three trials. Assume all trials are independent. 5. Compute the following probabilities for the following normal distributions: (a) μ=1,o=.5findP(.7<x<1.2). (b) u=15,0=2findP(13<x). (c) μ=100,o=12find P(x<97orx>106). 6. Given the following probabilities from a normal distribution with random variable x corresponding to μ = 4 and o= .8 then compute the following x* value. (a) P(Z < z*) = .9861 (b) P(z > z*) = .8264 (c) P(z<-z orz>z*)=.25 7. What is a sufficient sample size for constructing a 90% confidence interval with margin of error, M equal to 3%. 8. Construct a 95% confidence interval for the population mean given sample mean x = 7.5, sample standard deviation s = .49, and sample size n = 9.
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