6. A family has two children. Suppose that the bird of each child is an independent event and that it is equally likely to be a boy or a girl. Let C denote the event that the family has one boy and one girl. Let D denote the event that the family has at most one girl. Which of the following must be true about events C and D? A. C and D are independents events. B. C occurs given that D does not occur. C. C and D are not independent events. D. C and D are mutually exclusive events

Q: 4. Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: Given, In urn 2 red balls,1 blue ball and 2 white balls.

Q: A. A jar of 150 jelly beans contains 20 red jelly beans, 34 yellow, 22 green, 24 purple, 28 blue,…

A: The chances of occurrence of an event is called probability of the event. The ratio of number of…

Q: 3) is .6, the probability that B occurs is .3, and the probability that either A or B occurs is .5.…

A: Given P(Ac)=0.60, P(B)=0.30, P(A or B)=0.50

Q: 13. If events E and F are disjoint and the events F and G are disjoint, must the events E and G…

A:

Q: If A,B,C are mutually exclusive events with PĀ) = 0.45, P(B) = 0.36, then P(AN B) = a. 0.91 O b.…

A: PA=0.45 PB=0.36

Q: If A A and B B are events with P (A) = 14 P (A) = 14, P(B) = 12 P (B) =12, and P ( ANB) = 16 P(ANB)…

A:

Q: FA and Bare mutually exclusilve events then,

A: If A and B are mutually exclusive then:

Q: One student is selected at random. Let's define the following events: A = event the student…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

A:

Q: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: 4. A motorcycle license plate has 2 letters and 3 numbers. The probability that a motorcycle has a…

A: Event 1: Double letter Event 2: an even number

Q: 5. This past semester, a professor hada small business calculus section. The students in the class…

A: Given that this past semester, a professor had a small business calculus section. The students in…

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A:

Q: Suppose S = {1,2,3,4,5,6,7,8,9,10} and let A = {1,2,3,4,5}, B = {4,5,6,7,8}, and C = {7,9}. Find the…

A: Two events A and B are said to be independent, if P(A and B) = P(A)P(B).

Q: 8. A weather forecast station describes the weather for the day as either fine or wet. If the…

A: From the given data it is clear that there are two states s1 fine next day s2 wet next day…

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A:

Q: If A and B are independent events with P(A)=0.7 and P(B)=0.6, then find P(AUB). A. 1.3 B. 0.88 C.…

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: If S = { 1, 2, 3, 4, …….., 100} A = { 2, 4, 6, 8, ………. ,98, 100}            B = { 1, 3, 5, 7, 9,…

A: From the provided information, S = {1, 2, 3, 4, ……., 100} A = {2, 4, 6, 8, ….., 98, 100} B = { 1, 3,…

Q: 2. Let E, F, and G be three events. Find the expressions for the events described below: (a) Only F…

A: Three eventsE F, and G then write the expression for the events  a): only F occur  b): both E and F…

Q: Q7. The probability that the USA Embassy will locate in a city A of certain country is 0.7, the…

A: we have to find probability that the industry will locate in neither city...

Q: The statement that "(A|B) = (B|A) whenever A and B are independent events" is: Please select the…

A: Given that :  The statement (A/B) = (B/A) whenever A and B are independent events.  Here we use…

Q: Four people, A, B, C and D, are equally qualified runners. They run a 500-meter sprint, and the…

A: Given, Four people who are equally qualified runners.we need to find the probability that A comes…

Q: Are the events mutually exclusive or not? a. Two balls are drawn successively without replacement…

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: A) Determine if the events are mutually exclusive. Select a registered voter: The voter is a…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: 2. There are two multiple-choice questions on a quiz, one with four answer choices and one with six…

A: Step 1: Define the events.E1 = choosing the correct option for the first question.E2 = choosing the…

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: 8. Three students, Esther, Jean and Ruth are in a race. Esther is twice as likely to win as Jean,…

A: It is given that  P( Jean ) = 3*P( Ruth ) P( Esther ) = 2*P( Jean )   Note: According to Bartleby…

Q: If two events are mutually exclusive, what is the probability that both occur at the same time? A. 0…

A: We have to find correct probability for mutually exclusive events.

Q: If A denotes some event, what does A denote? If P(A) = 0.002, what is the value of P(A)? What does A…

A: In set theory, an event is a set of outcomes of an experiment or a subset of the sample space to…

Q: 26. If P(A) = 0.3 P(B) = 0.2 and P(C)=0.1 and A, B, C are independent events the probability of…

A:

Q: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…

A: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…

Q: If six different customers A,B,C,D, E and F arrive for service at random order what is the…

A: Given that  Total number of customers = 6   [ A B C D E F ] We know that  Probability = Number of…

Q: Suppose there are two events A and B. If P(A) = 0.7; P(B) = 0.3, then P(A and B) = 0.21 if and only…

A: Suppose there are two events A and B. Given P(A) = 0.7; P(B) = 0.3, We need to find the necessary…

Q: Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the…

A: