Let N be the number of the events A1, A2,..., An which occur. Show that n E(N) = P(A;). i=1

Q: Prob-3 Pressurized air are being used in a manufacturing company in its daily operation. There are…

A: The events A and B are given as- A : Reciprocal compressor (R) is always off. B: At least one of the…

Q: Two events A and B are such that P(A) =0.25, P(B) = 0.4 , and P(AUB)3D0.5. Draw a Venn diagram to…

A: From the given information, PA=0.25PB=0.4PA∪B=0.5 The required Venn diagram is shown below:

Q: Events A and B are mutually exclusive with P(A) = 0.35 and P(B) = 0.25. Then, P(B) = P(Bº) = (Enter…

A: GivenA and B are mutually exclusiveP(A)=0.35P(B)=0.25

Q: Pressurized air are being used in a manufacturing company in its daily operation. There are three…

A: Given that pressurized air is being used in a manufacturing company in its daily operation. There…

Q: a. P(A) = b. P (B) = c. P(C) =

A: Classical definition of probabilityPermutationNumber of ways in which n distinct object can be…

Q: Let Event A = crime is a homicide and Event B = crime committed between midnight and 12:59 AM.…

A: Given: Let Event A = crime is a homicide Event B = crime committed between midnight and 12:59 AM.

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls.  What is the probability that…

A:

Q: What is the probability that the birthdays of at least two students of a class of size n are at most…

A: let B be the situation or case that two individuals of a class of size n are at most k days apart.…

Q: What is the probability a randomly selected x-value will be  at most 3? What is the probability a…

A:

Q: Suppose that  A  and  B  are independent events such that  =PA0.10  and  =PB0.70 . Find  P∩AB  and…

A: From the provided information,P (A) = 0.10P (B) = 0.70The events A and B are independent.

Q: L3. Let X₁,..., X10 P(E(X₁) > > 0.5). N(0, 1). Determine the probabilities P(X₁ > 0.5), P(X > 0.5)…

A: The provided information is as follows:It is given that we have the random variables  which follow a…

Q: For a deck of cards, event S is defined to be drawing a card that is a multiple of six (6). What is…

A: A standard deck of cards has 52 cards. There are four suits (hearts, diamonds, clubs, and spades),…

Q: 3. Let X be N x₂ = -4. (-)-( 1 -3 1 3 2 '1 1 1 2 2, find the conditional distribution of x3 given X₁…

A:

Q: Let X be the number of successes in five independent trials in a binomial experiment in which the…

A:

Q: Which of the following statements is FALSE? Select one: If events A, B and Care independent, then A…

A: Option  b and  Option c is false. Because from the option b is given that the symbol is less than…

Q: 4. Consider 3 events A, B and C with Pr(A) = = a, Pr(B) = 3a, Pr(C) = 5a, and Pr(An B) = Pr(ANC) =…

A: Probability is the chance that an unsure event will occur with this probability. Basically, the…

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: Question 1. Suppose A and B are events with P(A) = ½, P(B) and 113 P(A or B) = a) Are A and B…

A: Given that  P(A) = 1/3 , P(B) = 1/4 , P(A or B) = 1/2

Q: A report from the Department of Agriculture has shown that 35% of the produce in supermarkets has…

A: The sample size n is 12 and the proportion of pieces of the produce in supermarkets has been…