Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and P (AUB). (a) P(ANB) 0 (b) P(AUB) 0

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.34​, and ​P(F)=0.47.

A:

Q: J and K are independent events. P(J | K) = 0.2. Find P(J) P(J) =

A: Obtain the probability of P(J). The probability of P(J) is obtained below as follows: From the…

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: Let A, B be two mutually exclusive events such that AUB = 2, p(A) = 4p(B). Find p(B - A) Select one:…

A:

Q: exactly 8 users out of 15 smartphone users do not upgrade their cell phones every two years.…

A: The given information is that, 57% of U.S. smartphone users upgrade their cell phone every two…

Q: For three events A, B and C given that *A and C are independent *B and C are independent *A and B…

A: Given: A and C are independent, P(A∩C) = P(A) × P(C) B and C are independent, P(B∩C) = P(B) × P(C) A…

Q: Let X be a random variable with E(X)= 1 and E[X(X-1)]=4,then evaluate Var(2-3X).

A:

Q: Suppose that the probability is 0.63 that a car stolen in a certain Western city will be recovered.…

A: Let the probability that a stolen car will be recovered be given by: And the total number of cars…

Q: Suppose a groundhog jumps out of its hole (within a 1-minute interval) with probability 0.2 and goes…

A: Probability:                Probability is used to measure the outcomes of random events…

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: It is given that:P(A)=0.55;P(Ac)=0.45;P(B|A)=0.75P(B|Ac)=0.09;P(B)=0.453The objective is to find the…

Q: Find the probability​ P(E or​ F) if E and F are mutually​ exclusive, ​P(E)=0.54, and ​P(F)=0.29.

A: GivenE and F are mutually exclusiveP(E)=0.54P(F)=0.29

Q: At the Skittles factory, a bag of Skittles is filled by a mechanical scoop. The scoop picks up 9,…

A: The objective of this question is to find the variance of the number of Skittles scooped up by the…

Q: Let A and C be two events such that P(A) = 0.39 and P(C) = 0.51. Do not round your responses. (If…

A: The objective of this question is to calculate the probability of the union of two events A and C…

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities.  E((X+Y)2)=?

A: We have given that X and Y be independent random variables.   The distribution of X is: P( X=x ) =…

Q: What are the two rules of finding probability of complex events?

A: The two rules for finding the probability of complex events are 1. Addition rule of probability and…

Q: Imagine that a single die is tossed. (i) Let A be the event that an odd number came up. Let B be the…

A: It is been asked to find the value of PB|A using Baye's rule using the given information.

Q: Let A be the event that a flight from New York to San Fransisco arrives on time and let B be the…

A: GivenLet A be the event that flight  arrive on timeP(B)=0.6P(A|B)=0.9P(A|Bc)=0.5

Q: Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Tatiana is…

A: We have to answer questions based on chi square distribution.

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: let X be a random variable and X-B(10, 0.81) find P(x=7)

A:

Q: Thirty percent of all customers who enter a store will make a purchase. Suppose that six customers…

A: given that x = the number of the six customers who will make a purchase probability of all customers…

Q: Suppose that  A  and  B  are complementary events and you know that  P(A) = 0.41,  what is the…

A: It is known that  and A and B are complementary events.

Q: Assume that a researcher randomly Probabilities of Girls selects 14 newborn babies and counts…

A:

Q: Let A and B be two events such that P(A) = 0.37 and P(B) = 0.03. Do not round your responses. (If…

A: The objective of the question is to find the probability of the union of two events A and B under…

Q: Suppose a basketball player who makes a free throw shot with success 80%. Let X be the number of…

A: From the provided information,Probability of success (p) = 0.80n = 5