(a) Are the events "male" and "0 activities" independent? V because are (b) Are the events "female" and "5+ activities" independent? because V are (c) Are the events "1 -2 activities" and "5 + activities" mutually exclusive? because IS (d) Are the events "male" and "1-2 activities" mutually exclusive? because

Q: (a) Prove that for events A and B, if P(B|A) > P(B) then P(A|B) > P(A).

A: As per our guidelines, we are allowed to answer first question only. Thanks   Given Events A and B…

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

A:

Q: For two events, A and B, P[A] is; P[B] is and P[AB] is Determine the values of: P[AB]; P[AUB];…

A: It is given that P(A) = 1/2, P(B) = 1/4, P(A ∩ B) = 1/8

Q: Horses are housed in pastures, pipe pens, or barn stalls at a local horse barn. Let A= (horse housed…

A: To find: Which statement is true?

Q: For any two events A and B, P(AB) ≤ P(A) ≤ P(AUB) ≤ P(A) + P(B)

A:

Q: In how many different order could the police department arrange six suspects in a police lineup if…

A: In this question we will use basic of permutations and combinations and concept of probability and…

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: (A) (B) (C) Brand A Brand B Brand C (P) 5. Cup (E) 6 6 8. Cone Select all that apply. Which two…

A:

Q: If P(A)=0.40, P(B) = 0.75, and P(A and B)=0.30, then what is true about the events A and B? (A)…

A: (C)Event A and event B are not mutually exclusive and are independent. Explanation:Recall that two…

Q: The table displays the number and type of tickets bought for a baseball tournament held on a…

A:

Q: Event C is defined as the set of positive even integers; Event E is defined as the set of odd…

A: Mutually Exclusive Events: Another name of Mutually exclusive events is Disjoint events. An event is…

Q: If three events A, B and C are independent then P(ANBNC) = P(A) x P(B) x P(C) O True False

A:

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

A:

Q: For any two events A and B. find weather the following statement is true or not: P(A U…

A: To find :  PA∪B≥1-P(AC)-P(BC)

Q: Let the events A and B be Such that PrAC) = to +10)%, PIB)= (8+15)%. Find P (AUB), if 1= A and B are…

A: If A and B denote two events, the probability PA∪B denotes the probability of either of the events…

Q: In the first few parts, identify whether the events are Mutually Exclusive, Independent, or Neither…

A: Events A and B are said to be independent when the probability of occurrence of event A does not…

Q: If P(A) = 0.3, P(B) = 0.5, and P(AUB) = 0.74, then P(A^B) = (a) Are events A and B independent?…

A: P(A) = 0.3, P(B) = 0.5, P(A∪B) = 0.74

Q: 98

A: Additional comment: dear remember formula of P(A or B) = p(A)+p(B) - p(A and B)Rest you can find…

Q: The general multiplication rule says that P(A and B)=_______If A and B are events, the…

A: Here given , The general multiplication ,  multiplication rule  P(A and B) = P(A). P(B).

Q: Finite: If A and B are events such that P(A)=0.5 and ​P(A∪​B)=0.9​, find​ P(B) when ​(a) A and B…

A: Given that, Let A and B are events such that P(A)=0.5 and ​P(A∪​B)=0.9

Q: if $A$ and $B$ are events, then $\Pr[A\cap B]\geq \Pr[A]+\Pr[B]-1$

A:

Q: There are two bags. The first bag contains N red balls and 7 blue balls. We flip a coin, and if its…

A: The number of bags are 2. The number of red balls in bag 1 is N. The number of blue ball in bag 1 is…

Q: The events A and B are such that ?(?) = 4/9?(?|?) = 1/2?(? ∪ ?) = 2/3 (i) Draw a Venn diagram to…

A:

Q: Which of the following are true statements? (Check all that apply) If events A and B are mutually…

A: we have to find true statement for given statements about mutually exclusive and complement events.

Q: Anthony surveys a group of students at his school about whether they play a sport. This table shows…

A: It is a problem of conditional probability where we have to find whether two events are independent…

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 the probability density function of a continuous random variable X is given by f(x) = {"0 Sa +…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. To find - If the…

Q: If P(A) = 0.2, P(B) = 0.3, and P(AU B) = 0.5, then P(AN B) = (a) Are events A and B independent?…

A: The probability rule of addition gives us PA∪B = PA+PB-PA∩B

Q: of the above answers is correct. 21. If A and B are not-mutually exclusive events, then: cannot…

A:

Q: a)P(Ā) c)P (A nΒ) (d)P (A n Β)

A: Given P(A) = 0.45 P(B) = 0.3 to find i) P(A) ii) P(A n B) iii) P(A n B)

Q: P(A) = 0.4 and P(B) = 0.5. Complete parts (a) through (d). Suppose that events A and B are disjoint,…

A: According to the given information in this questionThere are more than three subparts according to…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT XXXXXXXXXXXX Show that if A1, XXXX An are independent events…

A:

Q: Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel…

A: Solution:-To find the probabilities P(A), P(Ac), and P(B), we can use the given information about…

Q: A shopper in a convenience store can make a food selection from refrigerated packages, canned goods,…

A: Givensample space(s)={refrigerated,canned,snack,frozen}event A={refrigerated,canned,snack}event…