A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Q: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?
A: Solution: From the given information,
Q: Given P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, what is P(E)?
A: Given  P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, P(E)= ?
Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…
A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4
Q: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09, what is P(E)?
A: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09
Q: Suppose ℙ(?1|?2)=0.46P(E1|E2)=0.46, ℙ(?2|?1)=0.92P(E2|E1)=0.92, and ℙ(?1)×ℙ(?2)=P(E1)×P(E2)=0.24.…
A: * SOLUTION :-  From the given information the calculation is given as follows
Q: P(A U B) = 0.9, P(B) = 0.8, P(A n B) = 0.5. Find P(A). %D
A: We have given that,  P(A∪B) = 0.9, P(B) = 0.8 and P(A∩ B) = 0.5 Then,  We will find P(A) = ?
Q: Given P(E or F) = 0.71, P(F) = 0.12, and P(E and F) = 0.18, what is P(E)?
A: The given problem is to find the value of P(E) with the given P(E or F)=0.71, P(F)=0.12, P(E and…
Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?
A:
Q: Given that p(A)=.55, p(B)=.35, and p(A| B)=.85, find p(A and B).
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?
A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18
Q: Given P(E or F) = 0.12, P(E) = 0.22, and P(F) = 0.18, what is P(E and F)?
A:
Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?
A: PA=0.20, PB=0.25 and PB|A=0.25
Q: if  Let P(C) = 0.2, Let P(D) = 0.3, Let P(C | D) = 0.4  how do you find P(D | C)
A:
Q: Given P(E) = 0.21, P(F) = 0.13, and P(E and F) = 0.10, what is P(E or F)?
A: I have appended the formula used in the solution procedure
Q: Given P(E) = 0.26, P(F) = 0.48, and P(E and F) = 0.11, what is P(E or F)?
A:
Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)
A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.
Q: Given that p(A)=.31, p(B│A) =.39, and p(A│B) =.31, are A and B (a) independent? (b) exclusive?
A: given data  P(A) = 0.31 P(A|B) = 0.31 P(B|A) = 0.39
Q: Given P(E or F) = 0.04, P(E) = 0.35, and P(F) = 0.26, what is P(E and F)?
A: Given Information P(E or F) = 0.04 P(E) = 0.35 P(F) = 0.26 P(E and F)
Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?
A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…
Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?
A:
Q: Given P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?
A: We have given that,  P(E or F) = 0.87, P(E) = 0.14                              and P(E and F)= 0.19…
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

 
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