Let E and F be events of a sample space such that P(E)=0.46, P(F)=0.35 and P(EnF)=0.10.Find the following probabilities:i. P(E|F)ii. P(E'nF)iii. P(E'|F)

We have to answer question based on conditional probability.

Answered: Let E and F be events of a sample space…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let Y = the number of days on which the train arrives on time. What is P(Y = 4)? Interpret this value. (0.90)4 (0.10)². There is a 0.66% probability that exactly 4 of the 6 trains arrive on time. (0.90) ¹ (0.10)². There is a 0.66% probability that at least 4 of the 6 trains arrive on time. This probability cannot be calculated because this is not a binomial setting. O()(0.90)+ (0.10)². There is a 9.84% probability that at least 4 of the 6 trains arrive on time. O()(0.90)4 (0.10)². There is a 9.84% probability that exactly 4 of the 6 trains arrive on time.
the environmental protection agency (EPA) limits the amount of vinyl chloride in the plant air emission to no more than 10 parts per millions. suppose a mean emission of vinyl chloride for a partiular plant is 4 parts per million. assume the number of parts per million of vinyl chloride in air sample x follows a Poisson probability distribution what is the standard deviation of the plant is it likely that a sample of air from the plant would yield a value of x that would exceed the EPA limit? explain. note that P(x <=9)= 0.991868
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Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is
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The finish of a hole depends on the edge of the bit used, only 1% of the holes with a new drill have an irregular cut, 3% have an irregular cut with average bits and 5% present irregular cut with worn bits. If 25% of the holes are made with new bits, 60% have average edges and 15% are worn out. [use 3 decimal places] a) If a piece is taken at random, what is the probability of having holes irregular? b) If a piece with irregular holes is taken, what is the probability that would have been made with an average drill bit?
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Let E and F be events of a sample space such that P(E)=0.46, P(F)=0.35 and P(EnF)=0.10. Find the following probabilities: i. P(E|F) ii. P(E'nF) iii. P(E'|F)