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
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
Related questions
Question
Answer all and show the steps for each
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd428a88-148b-44cc-a7f3-f5b4c7c70139%2Fce2958bb-d15c-469b-97f6-11ba08b09592%2F4i93f5d_processed.png&w=3840&q=75)
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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