If the two events A and B are independent, P(A) = and P(B) = then P(BIA) 4. 2.

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A…

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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: 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: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: Problem 6. Let A and B be two events and assume P(A) = 0.35 and P(B) : %3D 0.45. Assume further that…

A: P(A) = 0.35P(B) = 0.45P(A|B) = 0.80

Q: how did you get the covariance (0.048)

A: From the information the values are given as, The formula for calculating the correlation…

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

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: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: medical researcher believes that a drug changes the body's temperature. Seven test subjects are…

A: We have given that the paired of body temperature before and after taking the drug having sample…

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

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Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

Q: The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b.…

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Q: Does this expression P(D) = 1.4 possibly occur

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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: Let A and B be two events such that P(A/B) = P(B/A) = and P(An B) = 1/ 1 Then P(AUB) = 2/3 3/4 1/3 O…

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Q: A medical researcher believes that a drug changes the body's temperature. Seven test subjects are…

A: Given data  Temperature (before) 99.8 99.1 100.2 99 99.3 98.7 100.5 Temperature (after) 99.3 98.9…

Q: The two events E and F are independent with P(E) = 0.45 and P(F) = 0.3. Find P(E ∪ F).

A: Given that, The two events E and F are independent with  PE=0.45 PF=0.3 The probability PE∪F is…

Q: What is the value of Σ(X – 2 )2 for the following scores? Scores: 3,6,9.

A: The values of X are given by 3,6 and 9. We have to calculate Σ(X – 2 )2

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

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Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?

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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?

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Q: Given P(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

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Q: The events A and B are independent. P(A)=2x, P(B)=3x, P(AUB)=2/3). Find the value of x.

A: Given Data: P(A)=2x P(B)=3x P(AUB)=2/3 The probability of A intersection B is, PA∩B=PA·PB=2x3x=6x2

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 as the expectation, is denoted by: E(X).

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 choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

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 probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.