MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Q: Suppose A and B are two events, P(A)=0.38, P(B)=0.42 and P(A and B )=0.26 Find the P(B|A) Round…
A: Answer: From the given data, P(A) = 0.38 P(B) = 0.42 P(A and B) = 0.26
Q: (P(A) = 0.80, P(B ) = 0.70, P(A&B)= 0.56 Which pair of events are independent?
A: The given probabilities are PA=0.80,PB=0.70,PA&B=0.56.
Q: For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?
A: Given that  P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22
Q: Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?
A: Solution: From the given information, P (A) = 0.33, P (B) = 0.16 and P (A and B) = 0.0297.
Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?
A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.
Q: If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).
A: given data  P(A) = 0.5 P(B) = 0.3 P(A∪B) = 0.67P(A∩B) = ?
Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).
A: The Special Multiplication Rule (for two independent event)
Q: Which pair of events are independent? P(A)=0.55, P(B) =0.65 or p(A&B) = 0.35?
A: We have given- P(A) = 0.55 P(B) = 0.65 P(A & B) = 0.35 We have to find weather it is an…
Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…
A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…
Q: A and B are mutually exclusive events with P(A)= 0.30 and P(B) = 0.40. Calculate P(A or
A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive
Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…
A:
Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…
A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and  To find:
Q: Given P(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81 are events A and B independent or dependent?
A: Given dataP(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81For the events to be independentP(A and B)…
Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).
A:
Q: If A and B are events with P(A)=0.4, P(A or B)=0.53, and P(A and B)=0.07, find P(B)
A:
Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?
A: Solution: From the given information, A and B are two independent events and P (A) =0.60.
Q: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?
A: If the event A and B are independent
Q: Suppose A and B are independent events. If P(A) = 0.45 and P(B) = 0.35, find each of the following:…
A:
Q: Determine if events A and B are independent: P(A) = 0.5 P(B) = 0.7                P(A U B)= 0.85
A:
Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…
A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.
Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).
A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…
Q: Which pairs of events are independent? P(A)=0.55, P(B)=0.65 p(A&B)=0.35?
A: Two events are said to be independent if PA and B=PA·PB.
Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…
A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB
Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).
A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6
Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…
A:
Q: Given P(A) = 0.3 and P(B) = 0.9, do the following. (a) If A and B are independent events, compute…
A: Solution
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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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If A and B are events with P(A)=0.5, P(A OR B)=0.75, and P(A AND B)=0.05, find P(B).

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