For any two events A and B to be not independent, P(ANB) = P(A).P(B)

Q: For mutually exclusive events A and B, P(A)=0.32 and P(B)=0.35 Find P(A | B) А) о в) 0.112 c)…

A: We have given that the two events A and B. P(A) = 0.32 P(B) = 0.35

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Two events A and B are such that 2 P(A) = x, P(B) = 17 - P(AUB) = 21 Find the value of x if the…

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Q: For any two events A and B and P(B) ÷ 1 and A N B = Ø, find weather the following statement is true…

A: If there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment and…

Q: A fair coin is tossed three times. Let R, S and T be three events such tha R: maximum one coin shows…

A: It is given that a fair coin is tossed three times. Therefore, Sample space is:…

Q: n a ten day period, the probability of a certain number of outbreaks of a contagious viral infection…

A: X01234P(X)0.300.400.270.020.01

Q: The chances of one event OR another event occurring = the sum of the chances of each %3D event…

A: Solution: Let E1 be the probability of winning the toster. P(E1)= 0.16 E2 be the probability of…

Q: Sarah has two tests at school next week, a math test and a physics test. Let A represent the event…

A: According to the provided information, P(A)=0.30 and P(A AND B)=0.21,

Q: Suppose that P(A) = 0.1, P(B) = 0.8 and P(A U B) = 0.3, then P(AnB) = 0.76 O 0.6 O 0.7 None of these

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Q: 2. Tracey feeds 9 squirrels and 3 of them have wonky tails. Tracey chooses 2 of them at random to…

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Q: 6 men and 4 women are ranked according to their scores on an exam. Assume that no two scores are…

A: X = highest ranking av=chived by women6 men4 women____________10 total peoples

Q: .A lottery works by picking 6 numbers from 1 to 49.  How many combinations of 6 numbers could  you…

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Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

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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

Q: In an election, 66% of the voters were Republicans, and 34% were not. Of the Republicans, 60% voted…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have helped…

Q: Use Bayes'Theorem to determine P(B|D) P(B|D)= (Round to two decimal places as needed)

A: Given,   Event A Event B Total Event C 2 5 7 Event D 3 8 11 Event E 17 15 32 Total 22 28…

Q: For any two events A and B; P (AUB) = P (A) + P (B) – P ( A nB) %3D

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Q: For any two events A and B, find weather the following statement is true or not: P(A N…

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Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

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Q: For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A…

A: Given that, there are three events A, B & D. We have to prove that, Pr(A U B|D) = Pr(A|D) ÷…

Q: Compute the mean, median, mode, variance and standard deviation of the following data. An…

A: Wing span in mm Number of insects 15-19 5 20-24 10 25-29 32 30-34 42 35-39 76 40-44 110…

Q: 3- Events C and D are mutually exclusive and P[C] = 3P[D]. P[D] is 4- ANĀ

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Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: Let A and B be two events such that 0 < P(A) < 1. If P(B|A) = P(B|Ac), prove mathematically (not…

A: Given that A and B be two events such that 0 &lt; P(A) &lt; 1. If P(B|A) = P(B|Ac), We have to prove…

Q: P(A/B) + P(A/BC) = 1 Select one: True O False

A:

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: Write an appropriate hypothesis test for this situation and state the testing procedure appropriate…

A: Given two samples Regular Premium 16 19 20 22 21 24 22 24 23 25…

Q: How long a basketball player is on the court depends on whether the player begins a match as a…

A: a. Given the member is starting member we have to find the probability that themember is assigned to…

Q: In a game, five cards are drawn out of a deck of 52 cards. If the result is a four-of-a-kind the…

A: From the given information, five cards are drawn out of a deck of 52 cards. If the result is a…

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: The necessary condition for any two events A and B are said to be independent is,

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

Q: college finds that 10% of students have taken a distance learning class and that 40% of students are…

A: