P(A) = 0.6, P(B) = 0.5, P(A U B)= 0.8 a) Find P(A given B)      b) P(B|A)

Q: Assume P (AU B) = .73, P (A) = .51, and P (B) = .47. Find P (AN B (AnB)

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Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: Given P(E) = 0.14, P(F) = 0.43, and P(E and F) = 0.19, what is P(E or F)? Your Answer: Answer

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Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

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Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

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Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

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Q: Given P(A) = 0.3 and P(B) = 0.4; if P(A and B) = 0.1, compute P(A or B)

A: From the provided information, P (A) = 0.3, P (B) = 0.4 and P (A and B) = 0.1

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

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Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

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Q: Given  H(p) =  7p p + 6,  evaluate. H(1)

A: Given: H(p)=7pp+6   To find: H(1)=??

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

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Q: Beulah Research Co. has found the responses to movie poll are Uniformly Distributed from 0 to 5;…

A: Introduction: If X ~ Uniform (a, b), then the probability density function of X is:

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: \ssume P (A) = .53, P (AN B) = .33, and P( A N B = .25. Find P (B)

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Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

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Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: p(a)= 0.40 and p(b) = 0.20 and p(b|a)= 0.30 find p(a|b) A) 0.15 B) 0.36 C) 0.69 D) 0.00 E) 0.18

A: We have given that p(a)= 0.40  p(b) = 0.20  p(b|a)= 0.30 p(a|b) = ?

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

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Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6,

A: P(A)=0.2, P(A and B)=0.1 annd P(A or B)=0.6

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: Find P(AUB), if the given are P(A)= 0.4, P(B) = 0.3

A: Given that  P(A) = 0.40 P(B) = 0.30 P(A∩B) is not given , Since events A and B are independent.   We…

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: Given that P(A UB) = 0.76 P(AnB) = 0.36 P(ANB) 0.26 Find P(B|A) O 0.24 O 0.28 O 0.35 O 0.86

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Q: If P(A) = 0.6 and P(ANB) = 0.3, then P(B | A) A) 0.75 B) 0.3 C) 0.5 D) 0.66 E) 0.15

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Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

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Q: P(A ∪ B) = 0.9, P(B) = 0.7, P(A ∩ B) = 0.5. Find P(A).

A: A detailed solution is given below

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Q: P(A) = 0.4, P(B) = 0.5, P(A U B)= 0.6 a) Find P(A given B)    b) P(B|A)

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.