smoke detector system uses two devices, A and B. Suppose the probability that it will be detected by device A is 0.95, the probability that it will be detected by device B is 0.90, and the probability that it will be detected by both devices is 0.89. 1. Are A and B independent events? 2. What is the probability of the event that the smoke will not be detected? Express the question in notation and compute.

Q: The probability that a car owner has a convertible is 0.3, a sedan is 0.2, and both a convertible…

A: Given data, P(Convertible)=0.3 P(Sedan)=0.2 P( convertible and a sedan)=0.1 P( convertible or a…

Q: Suppose that the probability that Bob will go downtown is  14%.  Now, also suppose that if Bob goes…

A:

Q: Claim: Most adults would erase all of their personal information online if they could. A software…

A:

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: At a given high school the probability that a student is taking geometry is .24 . The probability…

A: Let G=Event that the student is taking geometry class C=Event that the student is taking chemistry…

Q: Barbie has applied to both Harvard and Yale. The probability that Harvard will admit her is 0.65,…

A: We denote Yale by Y, Harvard by H, and thus their corresponding probabilities by P(Y) and P(H),…

Q: (a) Find the probability of the union between (getting the the flu) and (getting the flu shot). (b)…

A: Let A be the event that gets the flu. Let B be the event that gets a flu shot. P(A) = 0.2  P(B) =…

Q: The probability that team A loses against team B is 0.6 and the probability that team C wins against…

A: Let μi denotes the performance score for the team i. Thus, the performance score for teams A, B, and…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: You're gambling at a casino. Suppose the probability that you win roulette is 0.461 and the…

A: Let A denotes winning of roulette and B denotes winning of blackjack. Given: PA=0.461PA∩B=0.181 A…

Q: The probability of events A and B is 0.24, and the probability of event A is 0.4. Find the…

A: Solution: From the given information, P (A and B) = 0.24 and P (A) = 0.4.

Q: The probability that a student owns a car is 0.7. The probability that a student owns a computer is…

A: Given: Probability of student owns a car, P(A)=0.7 Probability of student owns a computer, P(B)=0.67…

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: Find the probability that when a couple has five children, at least one of them is a boy. (Assume…

A: We assume that girls and boys are equally likely and thus we have 1 chance in 2 of a couple getting…

Q: Find the probability that when a couple has two ​children, at least one of them is a boy. ​(Assume…

A: Solution

Q: Suppose that the probability that Bob eats a banana at lunch is  14%.  Also, suppose that the…

A: Given that, The probability that Bob eats a banana at lunch is,  0.14 The probability that Bob eats…

Q: The Cardinals have a 0.44 probability of getting to the World Series. If the Cardinals are their…

A:

Q: Find the probability that the day of the week begins with a T or a W

A: We know, number of days in a week = 7 set of days in a week = {Monday, Tuesday, Wednesday, Thursday,…

Q: Kimberly is currently taking swimming lessons.  She is also taking driver training.  The probability…

A: Since both events are independent to each other probability of occuring one does not affect another…

Q: Find the probability of the indicated event if P(E) = 0.20 and P(F) = 0.45. Find P(E or F) if P(E…

A:

Q: 1. a. Provide two independent events that you know the probability of. b. Explain how you know these…

A:

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Let us denote  R=rain S=sunny Given that P(R)=20%=0.20, P(S)=60%=0.60, P(R and S)=10%=0.10

Q: The probability that a shopper will buy a PS3 is 0.40. The probability that a shopper will buy an…

A: Let; PS = PS3 XB = X-Box 360 ND = Nintendo DS Given that; P(PS)=0.40P(XB)=0.54P(ND)=0.30P(PS ∩…

Q: Find the probability of the indicated event if P(E)=0.30 and P(F) = 0.40. Find P(E or F) if P(E and…

A: From the provided information, P (E) = 0.30 and P(F) = 0.40 And P (E and F) = 0.20

Q: he probability that a student has a visa card is 81. The probability that a student has a masters…

A: Given data, P(Visa card)=0.81 P(Master card)=0.17 P(Visa and Master)=0.06 P(Visa or Master)=?