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

A:

Q: 1) An urn contains 3 red balls, 2 white balls and 1 blue ball. Two balls are drawn without…

A: Solution:- Given  data is                       nRed=M1=3                      nWhite=M2=2…

Q: If a committee of 4 is selected at random, the probability that all nationalities except the…

A: here given  A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2…

Q: 31-35. Aboxcontains 6 blue pins, 5 red pins, 7 yellow pins and 4 green pins. If a pindrawn rando…

A: Given that there are 6 blue pins, 5 red pins, 7 yellow pins and 4 green pins. Total number of pins…

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: A lot of 11 components contains 2 that are defective. Two components are drawn at random and tested.…

A: Probability of the event that the first component drawn is defective P(A) = 2/10 Probability of the…

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: 2 brands (Dike and Ananas) of shoes are sold in a store. If shoe is picked up at random, Probability…

A: Given: Probability that Dike shoe contain typo is 0.05. Probability that Ananas shoe contain typo…

Q: here are 75 students in the class 30 studnts are girls and remains are boys  two students selected…

A:

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

A:

Q: Example Abag contains 2 blacks and 3 white balls. Two balls are drawn at random one after the other…

A:

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: Q4: b) You have two fair dice, one white- and one blue, are tossed. Explain whether the following…

A: Given, two fair dice : 1 white and 1 blue

Q: V) Two fair dice are tossed. What is the probability that the sum of the number of dots shown on the…

A: V). Two fair dice are rolled.

Q: In a sociology class there are 13 sociology majors and 13 non sociology majors 3 students are…

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: In a high school graduating class of 120 students glish, 89 studied math, and 55 studied both Englis…

A:

Q: (c) the first is blue and the second and third are not blue

A: total number of beads contains in a bowl = 1414 beads = 5 red beads + 6 blue beads + 3 violet beads3…

Q: fou randomly select one card from a 52-card deck. Find the probability of selecting the seven of…

A: As per given by the question, there are randomly selected one card from 52-card deck. fin the…

Q: total amount of 2400 classic watches. The machine A produces 960 watches, B produces 1200 watches,…

A: Given Three machineries A, B and C. Produce yearly a total amount of 2400 classic watches. The…

Q: Show complete solution One bag contains 6 white balls, 3 red and 4black balls, and a second bag…

A:

Q: inde- Airlines find that each passenger who reserves a seat fails to turn up with probability…

A:

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

A: here use given table of data and bayes rule

Q: fair coin is tossed 5 times. Find the probabilities of obtaining various numbers of heads. i. P(X=0)…

A:

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

A:

Q: 8) Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II,…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: The foreman of the Prolab plant is responsible for 18 employees, including 10 women and 8 men. He…

A: The total number of employees is 18, out of which 10 employees are women and 8 employees are men.…

Q: Anthony surveys a group of students at his school about whether they play a sport. This table shows…

A: It is a problem of conditional probability where we have to find whether two events are independent…

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

A:

Q: 3a) Luis is applying for admission to a University. He must complete a written application, and then…

A: 3) a) probability of being approved on the written application=0.60 probability of being approved by…

Q: atch against each other. This involves playing games of backgammon until one player has won four…

A:

Q: 2 game. Then, she had to spin a spinner that was divided into four equal, colored pieces-orange,…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: A box is filled with several party favors. It contains 12 hats, 15 noisemakers, ten finger traps,…

A: The following information has been provided: Number of hats=12 Number of noisemakers=15 Number of…

Q: Medical records at a hospital show that 52% of patients have high blood pressure and 22 % patients…

A:

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

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.