Determine if events A and B are independent. 169 7 P(A and B) 20 7 13 Р(В) 20 13 P(A and B) 20 1) P(A) = P(B) 5 2) P(A)= 100 400 7 P(B) 10 21 P(A and B) 5 1 4) Р(А) %3D P(B) = = 1 P(A and B) 25 3) Р(А): |3D 100

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(А)+Р(B)-Р(АВ) В.Р(А)ХP(В)…

A: Event A and event B are two mutually exclusive events. The general formula of the probability of A…

Q: A student has not prepared for an online exam, which contains 10 questions of flash and true, so he…

A: Here given that online exam, which contains 10 questions of false and true. thus probability that…

Q: . (a) If for two events, A and B 1 1 and P(A/B) Then find P(B- A). 4. P(B) %3D -

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B.   Consider A and B are independent events.

Q: In the series system the reliability of the system is the product of the reliabilities of the, а.…

A: Given problem Given that   In the series system the reliability of the system is the product of the…

Q: Micahel is running a small business. He knows that last week 62 customers paid cash, 20 used a debit…

A: The number of customers paid cash is 62.

Q: Given that P(A) = 0.7, P (A/B) = 0.7, P(A∩B) notation same as P (A and B) = 0.42, find  the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1) Events A and B are mutually exclusive. P(A) = 0.35, P(B) = 0.56. Find a) p(not A) b) p(A and B)…

A: As per Bartley guideline expert have to answer first question only since I had done all for you.

Q: Let A and B be two events such that P(A)3D0.9, P(B)-D0.5, and P (A U B) =0.6. Find: a) P(AnB) b)…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: Irfan owns a piece of land and he needs to decide whether to build bungalows or condominium on it.…

A: We have given : when he has selling option than the probability of favourable market is 0.6 and the…

Q: For this problem, assume the cooler contains 29 cans, 13 of which are regular, and the rest of which…

A: From the provided information, Total cans = 29 Regular cans = 13 Diet cans = 29 – 13 = 16

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: The box contains b white, c black and p blue balls. Balls are randomly drawn from the box without…

A: b=white ballC=black ball p =blue ball

Q: If two events, A and B,

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 3. A system comprised of three independent components. The probability of failure for each component…

A: Three independent components. Probability for failure for 1st component :  p1=0.1 P2=0.2 P3=0.3

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: B) are disjoint, what is the probability of their union? a.) P(A) + P(B) b.) P(A)P(B) c.) 0 d.)…

A: As given that events A and event B are disjoint. It is asked to find the probability of their union.

Q: selecting box 2. A marble is drawn at random from one of the boxes turns out to be blue, what is the…

A: define events B=blue marble R=red marble X=first box, Y=second box  first box has 3 blue and 2 red…

Q: Given events J and K: P(J) = 0.28; P(K) = 0.47;  P(J or K) = 0.65 Find P(J and K). Find the…

A: Given information- We have given two events J and K. P(J) = 0.28; P(K) = 0.47;  P(J or K) = 0.65 We…

Q: Suppose that E, F, and G are events with P(E) E and G are independent, and P(F|G) 13 = 16 = 29 100 "…

A: Step 1:We will apply the inclusion and exclusion principle to findP(E∪F∪G), which for three events…

Q: 3. A game is played by spinning the two spinners show spinners land on the same color. What is the…

A:

Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine P(AUB)'

A: Given data, P(A∪B) = 0.86 P(B) = 0.72  P(A) = 0.64 P(AUB)' =?

Q: Congrssional terms is shown as follows :given the summary from the 112th congress of senators whose…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: So, P(A N B) is the probability that both dice show a 5. Of the 36 possible outcomes, there is only…

A: There are total 62=36 outcomes when two 6-sided dice are rolled.We can get (5, 5) for only 1…

Q: a) Show that for any three events A, B, and C, the probability that at least one of them occurs is…

A: Given  We need to prove that for three events A,B and C,the probability that atleast one of them…

Q: Suppose events A and B are independent and PLA) = P(B) = Find the probability. (Enter the…

A:

Q: A firm produces 2 different alarm systems A and B. System A detects with probability 0.93 and costs…

A: For Alarm system A : P( A detects)  = 0.93 Let cost = 2x   For Alarm system B : P( B detects)  = 0.8…

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(A)+P(B)-P(Ав) В.Р(А)xP(В)

A: Given,if A and B are mutually exclusive events .so, P(A∩B)=0

Q: P(dub) = 4 몸 %3D Part: 1/3 Part 2 of 3 (b) A 2 or a king 2 P (2 or king) = %3D 13 Part: 2/3 Part 3…

A: Total card on deck = 52 13 clubs (♣), 13 diamonds (♦), 13 hearts (♥) and 13 spades (♠)

Q: Suppose A and B are two events with probabilities: P(A°) = .40, P(B) = .25, P(A U B) = .75. Find the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Determine if events A and B are independent. 7 P(B) = 20 1 277 !; P(A) = Р(A U B) — 2. %3D 400

A:

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: If two events, A and B, are mutually exclusive, then P(A and B) = P(A) × P(B)

A: Mutually exclusive events are also called dis joint events. It means that events can't occur…