1. If three items are examined, what is the probability that one is defective?

Q: A certain media store sells, on average, 6 TV per day. a.Calculate the probability that for a given…

A: Given: The average number of TV sold by a certain media store is λ=6 per day. Let X be a random…

Q: Suppose that 92.0% of bolts and 87.0% of nails meet specifications. One bolt and one nail are chosen…

A: The objective of this question is to find the probability that neither a bolt nor a nail meets…

Q: Team A and Team B are scheduled to play each other 10 times this season. If each game is played…

A: It is given that  P( team A beat team B ), p = 38% = 0.38 q = 1 - p = 0.62

Q: A new vaccine is able to give protection to 85% of bacterial disease. If 10 people are given the…

A: Let X be the number of people given vaccines are protected from bacterial disease Given: Probability…

Q: The probability that Ana will plant tomatoes is 3/4, that they will grow if planted is 3/5, and that…

A: P( plant tomato) = 34 P(grow|planted) = 35 P(produce bountifully|growed) = 89 P( all three things…

Q: Aproximatley 10% of all people are left handed. Consider a grouping of 15 people.  How do I fidn the…

A: From the given information p = 0.10 and n = 15.

Q: In a city 20% of the cars are electric, 16% of the cars are red, and 13% of the cars are red…

A: From the given information, The probability of cars are electric is, 0.20 The probability of cars…

Q: About IO percent of the population is left-handed. Ofthose who are right-handed, about 40 percent…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: Suppose a widget machine has a 3% defective rate. This means that 3% of the widgets produced by the…

A: Hi, we can answer only three subparts per post as per our policy. Please repost the question and…

Q: Wells were dug in a plain, and it was found that 15% of the water from the dug wells was not…

A: Solution: Given: Number of new wells: n = 10 It was found that 15% of the water from the dug wells…

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A:

Q: 58% of all violent felons in the prison system are repeat offenders. If 43 violent felons are…

A: Here Normal approximation to binomial dist. is applicable  as np and nq are greater than 10

Q: A certain neurotoxin has a 60% probability of killing a person depending on the host’s reaction and…

A: Let us denote  X=the number of people who survive  n=number of trials=25 Probability of killing=…

Q: The probability of event A happening is 3/5 and the probability of event B happening is 2/3. What is…

A: Given:             Probability of occurrence of event A is 35.            Probability of occurrence…

Q: A cafe receives an average of 4 orders of Mocha Frappe every 5 minutes. What is the probability of…

A: Poisson distribution : The random variable x defines number of events that occur in an interval…

Q: A new drug cures 65% of the patients who take it. If it is given to 14 patients, what is the…

A:

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

A:

Q: A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many…

A: random variable X number of trials at which first success occurs. X~geometric(p)  where…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 12 seeds are planted,…

A:

Q: The probability that an adult possesses a credit card is .15. A researcher selects two adults at…

A: GivenLet A be the adult possesses a credit cardThe probability that an adult possesses a credit card…

Q: Three percent of a given lot of manufactured parts are defective. What is the probability that in a…

A:

Q: A local election will be held with 12 candidates running for a new county governing board.  Four…

A:

Q: Suppose that you and two friends go to a​ restaurant, which last month filled approximately 78 %78%…

A:

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) =…

Q: Events A and B are independent. The probability of eventAA occurring is 0.64. The probability of…

A: We have given the following statement about A and B two independent events.  We have given that P(A)…

Q: About 8% of the U.S. population catches the flue each season. Assuming everyine h?as equal…

A: The formula for calculating odds is given below:

Q: At a local university, 40% of students live in dormitories. A random sample of 80 students is…

A: The given information is that the random sample of 80 students is selected for a particular study.…

Q: Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is…

A: The objective of this question is to find the probability that both events A and B occur given that…

Q: About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, ving. The exact…

A:

Q: The probability that a car will crash in a year is 5.5%. What is the probability that out of 100…

A: Let x follows binomial distribution with parameters n = 100 and p = 0.055   The pdf of binomial…

Q: When a particular machine is functioning properly, 80% of the items produced are non-defective. If…

A: Answer:- Given, a particular machine is functioning properly, P = 80% = 0.80 of the items produced…

Q: The probability that a patient does not recover from a certain disease is 9%. Suppose 19 people are…

A: Given,n=19q=0.09p=1-0.09=0.91A random variable X~Binomial(n=19 , p=0.91)P(X=x)=Cx0.91x0.0919-x…

Q: It has been found that on average, 7 cars use a garage in any given 10‐minute period. What is the…

A: A random variable X is called to follow the Poisson distribution if its takes only non-negative…

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0. probability that both…

A: Events A and B are independent. P(A)=0.2 P(B)=0.1

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: It is given that the each of 2,4, 6 is twice as likely to come up as each of 1,3,5.

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.