Let A and B be events in a sample space S such that  P(A) = 21/100,  P(B) = 2/5, and  P(AB) = 13/100.  Find  P( B | Ac ). A) 0.3148 B) 0.5250 C) 0.5063 D) 0.1646 E) 0.6750

Q: Let A and B be two events defined on a sample space S such that p(A) = 0.3, p(B) = 0.5, and P (AUB)…

A: Given that P(A)=0.3, P(B)=0.5, P(A U B)=0.7

Q: 8. 250 randomly selected (130 male, 120 female) Skyline students were asked a yes or no question,…

A: Answer:- Given, Total number of skyline students= 250 Male = 130 and female= 120  Using formula, P(…

Q: Events A, B, and C in a sample space have P(A)=0.2, P(B)=0.4, and P(C)=0.1. Find P(A u Bu C) if A…

A: We have given the following Events A B, C in a sample space have .  P(A) = 0.2 P(B) = 0.4 P(C) = 0.1…

Q: Let A, B and C be events in a sample space S such that S= AUB. Suppose that P(A) = 0.4, P(B) = 0.5,…

A: Given that P(A)=0.4,P(B)=0.5 and P(A∩B)=0.4 Then the aim is to find P(Ac∪Bc)

Q: A sample space consists of just three outcomes, denoted O, O2, and O3. Events E, F, and G are…

A:

Q: Let A and B be any two events defined on sample space omega.  Suppose that P(A) =.4, P(B) = .5, and…

A: The given probabilities are:P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.1.

Q: Let the random variable X be the number of heads observed in 4196 tosses of a fair coin, then E(X2)…

A:

Q: Let A and B be events in a sample space S such that P(A) = 0.38, P(B) = 0.42 and P(An B) = 0.20.…

A: P(A)=0.38 ,P(B)=0.42 and P(A∩B)=0.20

Q: Let E and F be two mutually exclusive events of a sample space (S). Let Pr(E)= 0.6 and Pr(E∪F)= 0.8…

A: We have given that,  E and F are two events are mutually exclusive with Pr(E)= 0.6 and Pr(E∪F)= 0.8…

Q: Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36…

A: Given The data is as follows: n(S)=60 n(A)=30 n(B)=18 n(C)=36

Q: From the sample space S=​{1, ​2, 3,​ 4,..., 15} a single number is to be selected at random. Given…

A: Given sample space is S=​{1,​2, 3,​ 4,..., 15}   Let A be event that number is​ even P(A)=?

Q: A sports equipment company conducts a survey of 1,000 people in the state of California. (For the…

A: Sample size [n] =1000 Favorable cases [x] =165 Confidence interval =95%

Q: Using the law of total probabilty Suppose we have a sample space S and two events A and B such that…

A:

Q: Let M and N be two events in a sample space S such that P(M) = 0.8,         P(N) = 0.4, and P(M ᴖ N)…

A:

Q: The sample space of an experiment is S = {a, b, c, d, e} while the probability of obtaining each of…

A: Given that the sample space is S={a, b, c, d, e}. That is, Pa+Pb+Pc+Pd+Pe=1 P(a)=P(b)=P(c)+P(e)=1/8…

Q: The results of a study showed that heterosexual women, during ovulation, were significantly better…

A:

Q: Suppose A and G are events in the same sample space for some experiment. If we know Pr[A] = 0.7 and…

A: Thank you 😊

Q: Let A and B be independent events defined on the same sample space such that P(A U B)= 0.6 and P(B)…

A: Given ,P(AUB)=0.6P(B)=0.2and A, B  are independent events.

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: Define the notion of a random sample S of a population X and give at least one example.

A: A random sample (S)- It is a sample that represents the total population and a sample has equal…

Q: Let A and B be two arbitrary events in a sample space S. P(A'|B) + P(A|B) = ? a. o. P(A|B') + P(A’|…

A: P(A'|B)+P(A|B)

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

A:

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: The discrete random variable X has a binomial distribution with n=10 and p=0.55. Find the value of…

A:

Q: If A and B are events in a sample space S, then P(AUBC) is equal to P(AnB) +P(A°) P(AnB) +P(A°)…

A: