1. Let A and B betwo events within the sample space S, for which P(S)=1. Let Ac and Bc be the complements of A and B respectively. Given that P(A∪Bc)=0.3 and P(A∩B)=0.1, find P(B)

Q: a sample space has 5 outcomes with weights w1, w2, w3, w4, and w5. If w1= 2w2, w2=w3=w4, and w5=3w2,…

A:

Q: Three-Card Monte 1 placed face-down on a table in a random order. We can think having the sample…

A: X: S -> R where X(s) is the position of card Q in the sequence s. Range of X: {1,2,3} Probability…

Q: Let the sample space be S = {z, m, o, p}. How many events are there?

A: Number of events in sample space = 2n where n is no of outcomes. Here S = {z, m, o, p}  here n=4…

Q: 1. Let A and B are two evens of a sample space S and let P(A)=0.5, P(B)=0.7 and P(AUB)=0.9. i) Find…

A: Given,P(A)=0.5P(B)=0.7P(A∪B)=0.9

Q: 4. Consider two events A and B in a sample space. If P(A) = 0.55, P(B) = 0.2, and P(A^B) = 0.08,…

A: A and B are two events in the same sample space. According to the addition formula the probabilities…

Q: Let A and B be two random subsets of {1,2,3,4}. What is the probability that A⊆B?

A: Subsets: A set A is called a subset of a set B if all elements of A are also elements of B. The B is…

Q: A quarter and a dime are tossed. The four possible equally likely outcomes are {HH, HT, TH, TT}.…

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

Q: Part D and E

A: a. The sample space of the 36 possible outcomes for the two dice is,

Q: A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The sample…

A: A pair of dice are rolled once.   Dice have six outcome {1 to 6} sample space : S : All outcome when…

Q: Three (3) boxes X, Y and Z contains identical cellphone covers which are either red or blue in…

A: It is given that: Box Number of red covers Number of blue covers x 6 4 y 5 5 z 3 7

Q: Game(or experiment):A jar contains 2 red, 3 green, and 6 blue marbles. In a game a player closes…

A: 2)Answer:- Given, A jar contains 2 red, 3 green, and 6 blue marbles.  Total number of marbles= 2+3+6…

Q: 2. If A and B are two events defined on the sample space Q, then P(A U B) ≤ P(A)+P(B) always. O TRUE…

A: If A and B are two events defined on tha sample space,then P(A U B)≤P(A)+P(B) Answer True

Q: Let A and B are two evens of a sample space S and let P(A)=0.5, P(B)=0.7 and P(AUB)=0.9. i) Find the…

A: Given,P(A)=0.5P(B)=0.7P(A∪B)=0.9

Q: An urn contains 6 red balls, 3 green balls and 10 blue balls. Four balls are drawn at random from…

A: Given information: Number of red balls = 6 Number of green balls = 3 Number of blue balls = 10 Total…

Q: A fair die is rolled and the sample space is given as S = {1, 2, 3, 4, 5, 6}. Let A = {1, 3} and B =…

A: Given that ; A fair die is rolled and the sample space is given as S = {1, 2, 3, 4, 5, 6}. Let A =…

Q: Let A and B be events in a sample space S such that S = A ∪ B. Suppose that P(A) = 0.5, P(B) = 0.7,…

A: From the given information. a)PA∪B=PA+PB-PA∩B=0.5+0.7-0.25=0.95

Q: Leb and E be independent in evente sample space ¥C îndependlene) Are EC and

A: Condition for Independence:   If A and B are independent events, then P(A and B)=P(A)*P(B).   Given…

Q: A fair coin is tossed twice. Consider the sample space S=​{HH, ​HT, TH,​ TT} of equally likely…

A: Given information: Sample space: S = ​{HH, ​HT, TH,​ TT} of equally likely simple events…

Q: FIND THE test statistics value  FOR  TWO TAILED TEST  SAMPLe sixe 26 and level of significance is…

A:

Q: Given sets E={2,3,4,5}, F={2,4,6,8} with sample space S={1,2,3,4,5,6,7,8}, then P(F)=…

A: Solution: 1. From the given information, Then,

Q: 1. Let S represent the sample space. A and B are two events in the sample space, S. If S = {x | 2< x…

A: As per guideline expert have to answer first question only.

Q: Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB= A and an…

A: To find p(E) :

Q: The probability of the sample space S is always less than 1. Select one: O True O False

A: The answer is : False. Explanation: A sample space is a collection of all possible outcomes of a…

Q: Let S be a sample space and E and F are independent events associated with S. Suppose that Pr(E)=…

A: Solution

Q: The regression equation for predicting the number of speeding tickets (Y) from information about…

A: Given,  b0 = 0.16 b1 = 5.5 X = 20     To find the predicting value for y for X = 20.

Q: A safe is randomly assigned a four-digit code. The company selling the safe sponsors a contest…

A: A safe is randomly assigned a four-digit code. It is given that if the code opens safe, the…

Q: Let A and B be events in a sample space S such that P(A)= .4, P(B)= .5, and P(ANB) = .3. Find:…

A:

Q: Suppose all 8 posslble outcomes of an experiment are equally Ilkely and denoted as E1, E2, E3, E4,…

A: Total number of outcome is =8 Event A={E3,E4,E5} The number of favourable outcome is =3

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: A die have 6 faces. 1,2,3,4,5,6 then S is a sample space:    S= {(1, 1),(1, 2), (1, 3), (1, 4), (1,…

Q: A fair coin is tossed twice. Consider the sample space S= {HH, HT, TH, TT} of equally likely simple…

A: Solution

Q: List all the possible outcomes and determine the values of the random variable in each of the…

A: It is given that Number of Australian = 4 Number of Americans = 2 Sample size = 3 Let A denote the…