5. Consider a bag of marbles, 19 of which are green, 25 of which are blue, and 6 of which are red. Moreover, suppose 9 of the green marbles are opaque, 5 of the blue marbles are opaque, and 3 of the red marbles are opaque, and the rest of the marbles are transparent. Suppose you draw one marble from the bag and let G, B, and R be the events that the marble is green, blue, and red, respectively, and let O be the event that it is opaque. (a) Find P(RO). (b) Find P(RIO). (c) Find P(R).

Q: A regional telephone company operates 3 identical relay stations at different locations. During a…

A:

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

Q: 22- It is intended to form a student committee consisting of 5 people out of 13 male and 10 female…

A:

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

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: Suppose that a part is randomly selected from a set of parts {S1, M1, L1, S2, M2, L2} which…

A: Solution

Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…

A: Events A and B are mutually  exclusive when  Hence, Event A and B are mutually exclusive.

Q: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

A:

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: Draw a Venn diagram to illustrate the union of two events, A and B, where A and B are mutually…

A: Events A and B are mutually exclusive events.

Q: he following table gives numbers of claims at a large insurance company by kind and by geographic…

A: Independent Events:

Q: b. In a survey of 200 college students, it was found that; 120 study mathematics, 70 study…

A:

Q: consumer at a pharmacy is trying to decide what type of allergy medication to purchase. There are 5…

A: Given that  A consumer at a pharmacy is trying to decide what type of allergy medication to…

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

A:

Q: Show that the multiplication law P(AB) = P(A/B) P(B), established for two events, may be generalized…

A: For two events A and B we have to show that PA∩B=PA/BPB. From the concept of conditional probability…

Q: 12. Suppose that A and B are two independent events with P(A) = 0.3 and P(B) = 0.3. What is P(A and…

A: As per our guidelines we are suppose to answer three sub parts. Given,P(A)=0.3P(B)=0.3A and B are…

Q: 14. If A and B are two disjoint events, with P(A)=0.33 and P(B)=0.25 then P(Ā U B) = O 0.95 O 0.45 O…

A: We have to find correct answer..

Q: Suppose that A,B, and C are three events that cannot all occur simultaneously. Does this condition…

A: Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: In the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: Given: Number of students = 4

Q: Rework problem 9 from section 3.2 of your text, involving independent and disjoint events. For this…

A: The value of P(B), if the events A and B are independent is computed as follows:

Q: 2. If A, B and C'are mutually exclusive and exhaustive events, 17-14 find P (B) if P(C) =P(A) = P…

A:

Q: a)Suppose events E and F are mutually exclusive with P(E)= 0.15 and P(F)= 0.75. (i) What is the…

A: We have given that  P(E)= 0.15 and P(F)= 0.75. IF A and B are mutually exclusive.  P ( A U B ) = 0…

Q: 2.83 If A and B are mutually exclusive events and P(B) > 0, show that P(A) P(A|AU B) = P(A)+ P(B)'

A: Given that  A and B are events A and B are mutually exclusive events  P(B)>0 Show that  P(A/(A U…

Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: 5. If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that a.…

A: 5   (a) Obtain the probability that the exactly 2 of them will be face cards. The probability that…

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

A:

Q: If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then…

A: Given that two events, Event A with probability P(A) and Event B with probability P(B) are…

Q: Nicole packs 3 blouses (A, B, C) and 2 skirts (D, E). c. If event M is wearing blouse C or skirt E,…

A: Given: There are 3 blouses(A,B,C) and 2 skirts(D,E)

Q: Theorem 3.10. If the events A and B are such that P(A) #0, P(B) ±0 and A is independent of B, then B…

A:

Q: CONSIDER two events A and B PROVE that if Bc A then P(B) < P(A)

A: We have to answer question based on set

Q: .  A bag contains 55 greengreen marbles, 33 redred marbles, and 66 yellowyellow marbles. If a marble…

A: As per our policy we can solve only 1 question per post. kindly repost for remaining questions.…

Q: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: Prove that if two events, A and B, are mutually exclusive, then P(A | A U B ) = P(A) / ( P(A) + P(B)…

A: If two events are mutually exclusive, then the two events are disjoint event.In other words, if A…

Q: If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32

Q: Suppose A, B and C are three events. Now p (A|B,C) = p (B|A,C) = 0.5,and p(A and C) = p (B and C) =…

A: From the given information, A, B and C are three events. PA|B,C=PB|A,C=0.5PA and C=PB and…

Q: Suppose A and B are events with P(A) = .6, P(B) = .2, and P(Bn A) = .4. Find (a) P(AU B), and (b)…

A: GivenP(A)=0.6P(B)=0.2P(Bc∩A)=0.4

Q: If A & B are two events and p(B) ≠ 1, prove that p(A/B') = [p(A) - p(A∩B)/[1 - p(B) where B'…

A: We have, two events A and B thus,  P(A|B')=P(A∩B')P(B')          ......(1)We know that,…

Q: If E and F are two disjoint events in S with P(E) = 0.23 and P(F) = 0.6, find P(E ∪ F), P(EC), P(E ∩…

A: From the question, it is given that E and F are two disjoint events in S that is both events are…

Q: If B1, B2, another event associated with (or caused by) B;, B, be a set of exhaustive and mutually…

A:

Q: Consider five mutually exclusive events, V, W, X, Y, and Z, respectively, where P(V) = 0.08, P(W) =…

A: Mutually Exclusive Events :  A and B are mutually exclusive events if they cannot occur at the same…

Q: SECTION 2 1. A box contains a total of 100 parts that were manufactured on two machines, A and B. 55…

A: Given: let as consider the two machines  A and B which produce 100 parts of material. In the…

Q: events are represented by (a) regions 1 and 2 together; (b) regions 2 and 4 together; 52. Among 120…

A: Let us assume the following events A - Individual stayed for at least 3 hours B - Spent at least…

Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

A: Solution: The given table of data is

Q: Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45%…

A:

Q: Suppose that you receive 10000 laptops, but 20% are defective. You pick two laptops at random, one…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A set of 345 college players (graduates and undergraduates) are interviewed by the NFL to play…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: 4. Determine whether each of the following pairs of events is independent:

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.