lot of 10 components contain three that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(A), P(B|A) and P(B) Find P(A∩B) and P(AC∩B) Are A and B independent? Explain

Q: 2. A large corporation determines that 20% of its employees leave the company taking up an offer…

A: Given Data : P =20% =0.2 q = 1-p = 1-0.2 = 0.8 n = 16

Q: Julio is drawing tiles from a bag of tiles like the one shown below. blue red blue red yellow blue…

A:

Q: Dustin has a bag of marbles with 5 Blue marbles, 3 White marbles, and 6 Red marbles. Find the…

A:

Q: Events A and B are independent and P(A)= 0.3 and P(B)=D 0.8 Find the probability of the following…

A:

Q: You have three red cards numbred 1,2,3 and two orange cards numbered 1,2. Finding the following…

A: Given information Number of red cards = 3 Number of orange cards = 2

Q: e with P(F) #0 and P(X) # 0. Explain why P(X\F)P(F) = ional probability, and then use %3D of stating…

A: Given:-          1.  a)    By definition of conditional probability,

Q: Q3: A box contains 12 red balls, 9 black balls, and 5 white balls. If you pulled four balls in a row…

A: The box contains, 12 red balls, 9 black balls and 5 white balls. I pulled 4 balls from the bag.  So,…

Q: Luciana plays a game where she draws one card from a well-shuffled standard deck of 52 cards. She…

A: Luciana drawn one card from a standard deck of cards. He wins the game if the card she draws is a…

Q: Assume that E and F are two events with positive probabilities. Show that if P(E|F) = P(E), then…

A: Given that E and F are two events with positive probabilities.And Using formulas,

Q: (b) A student plays two games which she either wins or loses. The tree diagran below shows the…

A: Event :W1 : win first gameW2 : win second gameL1 : lose first gameFind value of p,q and

Q: Three players Dan, Emily, and Frank are tossing a biased coin with P(H) = α. They rotate turns…

A: P(H)=α

Q: The king comes from a family of 2 children. What is the probability that the other child is his…

A: Here  Use basic rule of probability and Bayes rule

Q: Two events A and B are independent. A occurs with a probability of 20% and B with a probability of…

A:

Q: Use combinations to determine how many different groups of 4 resistors can be selected from this…

A: Total number of resistors = 18 Number of defective resistors = 3 Number of good resistors = 15

Q: Method Total ways to count? # successful outcomes? Probability? combination

A: We know that There are 52 cards in the deck divided into two colour i.e red( 26) and black (26). The…

Q: box of chocolates cotains 39 chocolates of 3 diffrent flavours : 13 dark ,17 milk and 9  white…

A: Given,no.of dark chocolates=13no.of milk chocolates=17no.of white chocolates=9total no.of…

Q: An archery game is played by shooting arrows at a target. Each person can choose to have two or…

A:

Q: Terrance plays a game where he draws one card from a well-shuffled standard deck of 52 cards . He…

A: Terrance drawn one card from a standard deck of cards. He wins the game if the card he draws is a…

Q: Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn…

A:

Q: -In some sample space we consider two events A and B. Let C be theevent that A or B occurs, but not…

A: the event C, which is defined as the event that A or B occurs, but not both, using only the basic…

Q: find P (condition absent | getting test result –)

A: here use given table of data and bayes rule

Q: 6 engineering students want to take a P/NP of a course. The group includes 4 civil engineering…

A: Total students = 6 Students with major in Civil = 4 Students with major in  mechanical = 2 Also,…

Q: A Math class consists of 14 girls and 15 boys. The teacher randomly selects 6 students to show their…

A:

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: Given the events A and B such that P(A) = 04; P(AUB) - 0,7 and P(B) = p 1) Calculate for that A and…

A: If A and B are incompatible (mutually exclusive) then, P(A)+P(B)= P(A U B) Given P(A)= 0.4, P(A U…

Q: if he gets 5 more "K" sides obtained by Hogi. What is the probability that Hoga will win the bet…

A:

Q: 8- Two events (A) and (B) are independent if : a) P(A | B) = P(A) or P(B | A) = P(B) b) P(A U B) =…

A:

Q: I indicates exercises that should be solved using technology Recall from Example 1 that whenever…

A: We have to find given Probability.

Q: Example: 8AFind the probability of selecting 4 marbles from a bag of 3 red marbles and 7 blue…

A: Given 3 red marbles 7 blue marbles

Q: Suppose A and B are events satisfying P(A)=0.25, P(B)=0.65 and P(AÈB)=0.75. Find the probabilities…

A:

Q: Albert plays a game in which he rolls two dices. When two dice are rolled, there are 36 equally…

A: We have given two dices are rolled : We have given some events and we have to answer mentioned…

Q: PrtSc FIZ Insert Delete H + 5. Astandard (fair, well-shuffled) deck of playing cards is cut, the aut…

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts.…

Q: Probability; There are two box induding red and blue balls. Box 1 has 3 red and 2 blue balls. Box 2…

A:

Q: Event A and Event B are equally likely, mutually exclusive, collectively exhaustive and independent…

A: Mutually Exclusive Events: Two events are said to be mutually exclusive if they cannot occur at the…

Q: I own several cookbooks; my two favorites are "The Advanced Recipe Collection" and the "The Book of…

A:

Q: (CO 2) Two cards are selected with replacement from a standard deck of 52 cards. Find the…

A:

Q: A candy dish contains 2 red and 4 yellow candies. You close your eyes, select two candies from the…

A:

Q: Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn…

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

Q: Vhen randomly selecting adults, let M denote the event of randomly selecting a male and let B denote…

A:

Q: At a state senator rally in Atlanta, there are 20 Republicans, 13 Democrats, and 6 Independents in…

A: Ans:  Repullication = 20 Democrate = 13 Independents = 6 total = 20+13+6=39 Probability of select a…

Q: Light players P₁, P. P play a knock-out tournament nown that whenever the players P, and P, play.…

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.