An experiment consists of randomly selecting 3 coins, tossing it, and observing the outcome heads or tails. The first coin is a two headed coin, the second is a biased coin such that P(H)=0.75 and the third is a fair coin. A) what is the probability that the coin that is tossed will show heads? B)If the coin selected shows heads, what is the probability that this is the fair coin?

Q: 23. An advertisement for brand A chicken noodle soup claims that 60% of all consumers prefer brand A…

A: Given dataProbability of consumers preferring brand A (p) = 0.60n = 10Let X be the random variable…

Q: An experiment consists of tossing 6 fair (not weighted) coins, except one of the 6 coins has a head…

A: The total number of trials is 6. It is given that one of the 6 coins has a head on both sides.One…

Q: An experiment consists of tossing 5 fair (not weighted) coins, except one of the 5 coins has a head…

A: There is total 5 coins, among which 4 are fair coins and 1 is weighted coin.

Q: A red and a white dices played once in an experiment; what is the probability of finding at least…

A: Two dices red and white are available We have to find the probability of at least three with red…

Q: A tine test is commonly used to determine whether a person has been exposed to tuberculosis.…

A: A tine test is commonly used to determine whether a person has been exposed to tuberculosis.…

Q: Blocks of concrete are tested for conformance to strength specifications. The outcomes of the test…

A:

Q: 4. (a) Twelve balls are distributed at random among three boxes. What is the probability that the…

A: 4.) a.) The total number of balls =12 The total number of boxes =3

Q: In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, ....,36. The…

A: Given: Total number of slots =38 Number of green slots = 2 (numbered as 0,00) Number of red slots =…

Q: Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair…

A: It is known that: combination formula is given by, Crn=n!r! (n-r)! where C is the number of…

Q: The composition of the Senate of the 111th Congress was 41 Republicans, 2 Independents, and 57…

A:

Q: fair coin is tossed four times, and at least one of the tosses results in heads. What is the…

A: Given: One fair coin is tossed 4 times which results the sample space (S) as follows:…

Q: In a factory that manufactures automobile tires, tires are produced in two workshops. 60% of the…

A: According to the given information, P(first workshop) = 0.60 P(second workshop) = 0.40 P(defective /…

Q: poll is given, showing 35% are in favor of a new building project. 8 people are chosen at random,…

A: Here it is given that-  8 people are chosen at random and 35% are in favor of a building new…

Q: in a survey of 1311 people 948 people said they voted in a recent presidential election. voting…

A: Given:

Q: Warranty records show that the probability that a new car needs a warranty repair in the first 90…

A: Given data, n=3 p=0.05 probability that none needs a warranty repair(P(X=0))=?

Q: The workers union at a particular university is quite strong. About 94% of all workers employed by…

A: We have to find given probability.

Q: 2. The probability that a person has a received a vaccination for a certain is illness is .48.…

A: Given: p=0.48 n=8   Let X~B(n,p)

Q: 6) A study shows that 65% of the graduates from college find a job in the first month after…

A: Probability of finding job in first month after graduation = 0.65 Probability of not finding the job…

Q: A factory produces components of which 5% are defective. Components are packed in boxes of 10. A box…

A: Given,n=10p=0.05X=no.of defective components.X~Binomial(n=10 , p=0.05)P(X=x)=cxn px(1-p)n-x    ;…

Q: Four light bulbs are selected at random from a lot of 25, of which 6 are defective. What is the…

A: Given,   Defective bulbs = 6 Non-defective bulbs = 19   Total = 25   The objective is find the…

Q: Exercise 25 In a group of 30 people, 15 of them have brown eyes, 12 have black hair, and 5 have both…

A: Given: total = 30 brown eyes = 15 black hair = 12 brown eyes and black hair = 5

Q: Drug Reaction: In a clinical test of the drug Viagra, it was found the 4% of those in a placebo…

A: (2)Given:Viagra users n =8Experience headaches x =3Rate p= 0.04 The probability distribution…

Q: 7. A survey was made among 100 graduates to report on their employment status. The sample comprises…

A: It is given that the sample comprises 50 male and 50 female graduates. Of which 60 are unemployed.…

Q: 7- In analyzing hits by B bombers Targets are subdivided to 465 regions each an area of .02 km². A…

A: Given Data, p = 1/465 sample n = 411 Mean = np = 411/465 = 0.8839 Standard deviation = sqrt(npq) =…

Q: A fair coin is flipped 11 times. Find the probability that more than 5 of the flips turn up tails.

A:

Q: b. Find the probability of exactly 308 voters who actually voted for the winner.

A: b. Define the random variable x as the number of votes for the winning candidate. Here, the number…

Q: An urn contains five green balls and ten white balls. A sample of four balls is selected at random…

A:

Q: Assume that 14​%of parts in a manufacturing line are defective. If 4 parts are selected at​ random,…

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

Q: GC content in Plasmodium falciparum genome is 25%. Assume that each base pair in the genome has…

A: Givenp=0.25n=5x~Binomial(n=5,p=0.25)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1....,n

Q: A psychology class consists of 32 freshmen and 48 sophomores. If the professor selects names from…

A: There are 32 freshmen and 48 sophomores. The total number of students is 32+48=80. 1. The…

Q: Students attending an international event were asked if they can speak Arabic or Chinese. 25% speak…

A: We have to slove this question:

Q: A psychology class consists of 32 freshmen and 48 sophomores. If the professor selects names from…

A: Total students = 32+48 = 80 P(freshman) = 32/80 = 0.4

Q: 11) In a job application of 3000 applicants, 162 applicants are from out of state. a) Find…

A: The probability that one applicant is from out of state is given by P(out of state) = 162/3000 =…

Q: Records show that 30% of all patients admitted to a medical clinic fail to pay their bills and that…

A: Let p be the probability that the patient's bill is forgive. Given that p = 0.3 Let X denote the…

Q: 3. Aplinko game is composed of a board and a disc. The player drops the disc at the top of the…

A: Given a plinko game is composed of a board and a disc as

Q: A fair coin is flipped six times. Calculate the probability of obtaining at least three heads and…

A:

Q: A package of 25 tulip bulbs contains 11 yellow, 7 white and 7 blue bulbs. A second package of 25…

A:

Q: A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by…

A: The probability of consumers recognizes the brand name is,

Q: 5. A National Merit Scholarship award committee recently claimed that each of 5 grant applications…

A: Given that  Number of applications received (n) = 5 Number of  grants to be released = 2 Number of…

Q: In an intelligence test, a person is shown some colored cards one by one fastly, out of which 65% of…

A: In this step we will define the required events . Also, we will write down the information given in…

Q: Based on a survey assume that 26% of consumers are comfortable having drones deliver their…

A: From the given information, 26% of consumers are comfortable having drones deliver their purchases.

Q: A poll is given, showing 75% are in favor of a new building project.

A: Let X  be the number of people that are in favor of a new building And n be the number of people.…

Q: GC content in Plasmodium falciparum genome is 40%. Assume that each base pair in the genome has…

A:

Q: 1. A fair six-sided die is rolled 8 times. If a 1 or a 4 land uppermost, the throw is considered a…

A: As given in question that a fair six-sided die is rolled 8 times. So, the probability for each…

Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…

A: Given: P(1) = 0.25 P(2) = 0.15 P(3)=0.05 P(4)= 0.1 P(5)= 0.15 P(6)= 0.3

Q: A study is conducted at a retirement home to determine the attitudes of nurses towards various…

A: Solution: From the given information, total number of nurses is 23.

Q: At a joint meeting 28% of the employees are sales and administration staff and 72 % are production…

A: Given that probability of sales and administration = 0.28 Probability of production staff = 0.72

Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…

A: The tree diagram for the given information is drawn as follows: It is given that,

Q: 20) A gambler places a bet on a horse race. To win, she must pick the top three finishers in order.…

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 7 people are chosen at…

A: Given that, 20% are in favor of a new building project. Sample size = 7

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.