A box contains three coins: two regular coins and one fake two-headed coin (P(H)=1), (a)  You pick a coin at random and toss it. What is the probability that it lands heads up? (b)  You pick a coin at random and toss it, and get heads. What is the probability that it is the two-headed coin?

Q: One student is selected at random. What is the probability that the student is i. from IT? i.…

A: Note : According to our guidilnes we are solving only first three sub parts of a question and the…

Q: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

A: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

Q: In a village, the probability that a randomly selected subject is allergic to sulphur is 0.20,…

A: Let A denote the event that allergic to sulphur Let B denote the event that allergic to penicillin…

Q: You decided to buy a white Honda. One out of five Honda cars at the dealerships is white. If you…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: A population of women has 40% with dark eyes. If a sample of 20 women are selected from this…

A: Given: p=0.4 n=20 Let X~B(n,p)

Q: A box of jerseys for a pick-up game of basketball contains 1010 extra-large jerseys, 77 large…

A: We have given the following statement about the  We have  Extra- large jerseys = 1010. Large Jerseys…

Q: Cars are being produced by two factories, but factory 1 is known to produce twice as many cars as…

A: We have to find out answer of given question....

Q: A man has five coins, one of vwhich has two heads. He randomly takes out a coin and tosses it three…

A:

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: 5. In a certain town 40% have brown hair, 25% have brown eyes and 15% have both brown hair and brown…

A:

Q: A university bookstore claims that 50% of its customers are satisfied with the service and their…

A: The probability that in a random sample of 600 customers, less than 45% are satisfied is, Thus, the…

Q: It is known that a particular machine produces 90% non-defective electrical components. A box of 100…

A: We have to find probability from z table.

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: A magician has 10 coins in his pocket. Eight of these coins are normal fair coins (with one head and…

A: According to the provided information, A magician has 10 coins in his pocket. Eight of these coins…

Q: uppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: In the given question, concept of probability is applied. Probability The ratio of the number of…

Q: The sex ratio of newborn human infants is about 105 males: 100 females. If four infants are chosen…

A: Given, sex ratio of newborn human infants is about 105 males: 100 females. sex ratio for male p =…

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

A:

Q: A food manufacturer is analyzing a sample of 500 corn kernels for the presence of a toxin. In this…

A: In the given case, the total sample size (n) is 500. Assuming X to represent the number of kernels…

Q: Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin.…

A: The selection of glass bottles and tossing coins are two independent events.  So, we have to find…

Q: 3. YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake in one…

A: Given that, YO-Magic! Bakery receives on average 13 take-out orders of their best-selling cheesecake…

Q: Three students bring identical umbrellas to class and leave them in a pile by the door.  When they…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: Urn A contains 2 white balls and 1 black ball, whereas urn B contains 1 white ball and 5 black…

A: Let us denote B=black and W=white Given that Urn A contains 2 white balls and 1 black ball So, we…

Q: 4 out of 100 televisions in stock are defective. If you select two television at random, find the…

A: Introduction: There are 100 televisions, out of which, 4 are defective. Out of the 2 randomly…

Q: If the president is interested in maximizing the expected value of her firm's gain, should she…

A:

Q: A man starts a random walk at a lamp post. There is a pit of alligators 3 steps down the path. If he…

A: The number of total steps taken by man = 10 He has to take 7 steps forward and 3 steps backward and…

Q: If there are, on the average, 7 defects in a new car, what is the probability that your new car has…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: In a certain country, the true probability of a baby being born a boy is 0.525% Among the next four…

A: Given that, Probability that a baby being born a boy is 0.525 Now, from the next four randomly…

Q: A piggy bank contains a mix of 60 pieces of nickels and 60 pieces of 25-centavo coins. The two kinds…

A: Given data :  Total number of coins = 120  Number of nickels = 60  Number of 25-centavo coins = 60

Q: If the chance of rain on Sunday increases to 50% if it rains on Saturd. suppose you were away on…

A: *Answer: Solution: P(Sunday)=P(Saturday)+50%---------------------------1 Let Probability that it…

Q: In a tennis match, with the score at deuce, the game is won by the first player who gets a clear…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4 out of 100 televisions in stock are defective. If you select two television la at random, find the…

A: It is given that the 4 out of 100 televisions are defective.

Q: A 3-match table tennis series is going on between Bangladesh and Taiwan. [There's no tie in a a…

A: Here use binomial theorem

Q: If the chance of rain on Sunday increases to 50% if it rains on Saturday, suppose you were away on…

A: e. P(rain on Saturday) = 0.60 P(no rain on Saturday) = 1 - 0.60 = 0.40 P(rain on Sunday | rain on…

Q: new secretary has been given n computer passwords, only one of which will permit access to a…

A: Given, The new secretary has n computer passwords, out of which only 1 is correct. Now, a password…

Q: (a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find…

A:

Q: The probability that a person has blood type A is 0.3. Two persons are selected at random. What is…

A: GivenThe probability that a person has blood type A is 0.3

Q: The television show Pretty Betty has been successful for many years. That show recently had a share…

A: We have given that  Sample size n= 12 Success of probability p= 0.20 X~binomial ( n , p )

Q: A website reports that 70% of its users are from outside a certain country, and 60% of its users log…

A: Let O denote that randomly selected users are from outside the country. I denote that randomly…

Q: ertain blood test is 99.5% effective at detecting Foreign Bloodborne Pathogens (such as the…

A: Lets denote p be the probability  that a randomly selected person who take certain test  correctly…

Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: A married couple and four of their friends enter a row of seats in a concert hall. What is the…

A: Total number of people in the concert hall = 4 +2 = 6Total number of pairs = 6C2 = 15

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner. suppose…

A: Jack n Poy is a game performed by two players. Here, P(winning one time) = 1/2.

Q: 2. In a class, 60% of the students have brown hair, 30% have brown eyes, 10% have both brown hair…

A: Given,P(student has brown hair)=0.60P(student has brown eyes)=0.30P(student has both)=0.10

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: customer from Cavallaro's Fruit Stand picks a sample of 3 oranges at random from a crate containing…

A: From the given information we want to find the probability sample contains one or more rotten…

Q: If a person does contract the disease, what is the probability that the person is of genotype AA?

A: Let us define some events A : the person is of genotype AA. B : the person is of genotype Aa. C :…