An experiment consists of randomly selecting one of three 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) = 0.3 , and the third is a fair coin. If the coin selected shows heads, what is the probability that this coin is the fair coin?

Q: Suppose a company manufactures light bulbs, and the probability of a bulb being defective is 0.05.…

A: Let X: number of defective bulbs.X has binomial distribution because trials are finite, trials are…

Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…

A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…

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: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: In a batch of​ 8,000 clock radios 3​% are defective. A sample of 14 clock radios is randomly…

A: It is given that, Probability of defective = p = 3% = 0.03 Sample size = n = 14 Lot size = 8000   We…

Q: A group of people were asked if they had run a red light in the last year. 423 responded "yes", and…

A: Step 1: Identify the given valuesnumber that ran a right light = number that said "yes" = 423number…

Q: A poll is given, showing 40% are in favor of a new building project. If 2 people are chosen at…

A: Proportion of people are in favour of a new building project(p)=0.40sample size(n)=2

Q: Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of…

A: Here, we have a table given. We are supposed to find the prbability that these parents have given…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: A company manufactures MP3 players at two factories. Factory I produces 60% of the MP3 players. 2%of…

A:

Q: one pf each type, in random order and states which he or she prefers. Of the 60 subjects who…

A:

Q: A certain group of women has a 0.79% rate of​ red/green color blindness. If a woman is randomly​…

A: Solution: From the given data, The probability that women in a certain group has red/green color…

Q: Suppose 1 in 1000 persons has a certain disease. A test detects the disease in 95% of the diseased…

A: Given : P( Disease ) =11000=0.001 P(not  Disease ) =1-P(Disease)=1-0.001=0.999 P( Test…

Q: generating two symbols, dots and dashes. We observed that the dots were twice as likely to occur as…

A:

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

Q: On a multiple-choice test, each question has 5 answers, only one of which is correct. A student…

A: The number of questions answered are 3. The number of answer are 5.

Q: Suppose a there is a 40% chance a randomly selected person likes strawberry ice cream, a 70% chance…

A: (1) Obtain the probability that a randomly selected person likes chocolate ice cream but not…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

Q: What is the probability distribution of the sum of the outcomes of the flips

A: When we flip a coin two times, then thebpossible outcomes are {(1,1),(1,0),(0,1),(0,0)} Let X denote…

Q: A biased coin is flipped 8 times. In a single flip of the coin, the probability of heads is 1/3 and…

A: Number of flips = 8Probability of heads = 1/3Probability of tails = 2/3

Q: In a city a meteorologist finds that the under certain atmospheric conditions, rain resulted 81…

A: Given,In a city a meteorologist finds that the under certain atmospheric conditions, rain resulted…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A:

Q: Two propositions were on the ballot in an election. A survey is given to voters immediately after…

A: From the provided information, Total voters = 198 104 voted for Proposition 1, 105 voted for…

Q: Every morning a math instructor picks out two socks completely at random from his closet; there's…

A:

Q: An experiment consists of randomly selecting one of three coins, tossing it, and observing the…

A: a.   Consider that events A, B, and C denotes the selection of to headed coin, biased coin and fair…

Q: 42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each…

A: From the provided information, Sample size (n) = 12 42% of adults say cashews are their favorite…

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

A: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

Q: An animal shelter had a 65 % adoption rate for puppies. Of all puppies in the shelter , 75% live to…

A:

Q: In the continent of Africa, it has been determined that an average of four (4) wars break out per…

A: Given,Average of four (4) wars break out per month. That is, 4 wars break out per month.We need to…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.