In a manufacturing plant producing LED light bulbs, 80% of the light bulbs produced are non-defective. If 3 light bulbs were examined by a quality inspector, what is the probability that one light bulb is defective? Use the binomial probability function to answer this question.

Q: At TCNJ, 35% of the engineering majors belong to ethnic minorities. If 6 students are selected at…

A: Given,n=6p=0.35X=no.of students belong to ethnic minorityX~Binomial (n=6 , p=0.35)P(X=x)=nx pxqn-x…

Q: It is known that a certain basketball player will successfully make a free throw 90.71% of the time.…

A: From the given information,P = 90.71%= 0.9071So, q = 1- P = 1-0.9071 = 0.0929n = 11we have to find…

Q: Suppose 1% of woman develop breast cancer. Physicians report that a mammogram accurately classifies…

A: This problem can be solved using Bayes probability theorem. According to this theorem, if A nd B are…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…

A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…

Q: On a 5-day vacation, the forecast is a 34% chance of rain every day. What is the probability that it…

A: n=sample size=number of days=5, p=probability of raining every day=0.34

Q: In a large population, 53 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given information- Given problem is of binomial distribution. Probability of success, p = 0.53 No.…

Q: Suppose that 84% of students in a college have a smart phone. If you select three students at…

A: sample size(n)=3 p=0.84 Let "x" be no.of students have a smart phone x~Binomial(n=3,p=0.84)…

Q: During a resort’s busy season, there is a 0.8 probability that a hurricane will affect sales…

A: Given: Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.8 X be…

Q: A salesperson knows that over the course of her career she has a 20 per cent chance of making a sale…

A: We have to find probability..

Q: ind the probability that in a randomly selected office hour, the number of student arrivals is 66.

A: A statistics professor finds that when he schedules an office hour for student help, an average of 3…

Q: In a typical day, I respond to 3 students emails. What is the probability that in a 5-day work week…

A: Let X denote the number of email responds and it follows Poisson distribution with parameter (λ=3…

Q: In a particular city, 63% of the adults own their home and 37% rent. A sample of 20 adults is taken.…

A: Given,probability of adults own their home(p)=63%=0.63probability of adults on…

Q: % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that…

A:

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: 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: A certain type of rocket has 5 ignitors which act independently of the others. Each ignitor has a 5%…

A: Let X denotes the number of ignitor fails which follows binomial distribution with sample size 5 and…

Q: The probability of finding a gold card is 0.03. What is the probability that 1 out of 10 randomly…

A:

Q: games. Suppose they play seven games against the New York Islanders in a season. What is the…

A: It is given that the probability of win the games is p = 63.4% = 0.634 of the New York Rangers. The…

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: Suppose Emerson loses 33​% of all checker games.   Use this result to determine the probability that…

A: Given information- Probability of losing checker game, q = 0.33 Probability of winning checker game,…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If eleven seeds are…

A: Answer:Given that:p=0.95 ,   n=11now will use Binomial probability P(X=x)=nx*Px*(1–P)n–x,where…

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.