Historically 20 % of workers participate in a retirement plan. A group of 5 workers is randomly selected. What is the probability that exactly 2 workers participated in the retirement plan ?  What is the probability that at least 3 workers participated in the plan ?

Q: A manufacturing machine has a 3% defect rate . If 9 items are chosen at random , what is the…

A: Given data, p=3%=0.03 n=9 P(X>=1)=?

Q: Forty percent of Clinton County residents are uncomfortable using the Internet. Suppose 7 such…

A: Given that n =7 , p= 0.40 Find P ( X =5 ) = ?

Q: A manufacturing machine has a 1% defect rate. If 7 items are chosen at random, what is the…

A: X~ Binomial(n , p) Formula:   P(X= x) = nxpx(1-p)n-x ; x = 0,1,2,..,n

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

A:

Q: A manufacturing machine has a 3% defect rate. If 6 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=3%=0.03 The number of items chosen is: n=6   The…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

A:

Q: A manufacturing machine has a 6% defect rate. If 9 items are chosen at random, what is the…

A:

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: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: In a small private​ school, 6 students are randomly selected from 17 available students. What is…

A: Given: Number of selected students = 6 Total number of available students = 17 Formula Used: The…

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

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: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

A: Given : Probability of success,p = 0.15 Probability of failure,q=(1- 0.15 )= 0.85…

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a face or a…

A: Given : Let A be the event of getting face card from a deck of well-shuffled cards  P(A) = 1252 Let…

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a market study, a researcher found that 70% of customers are repeat customers. If 10 customers…

A:

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: It is given that P( success ), p = 10% = 0.10Sample size, n = 9

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: Given information- We have given a problem of binomial distribution. Probability of having a defect,…

Q: What is the probability of selecting a 6 or a res card from a 52 card deck?

A: Solution:Total number of ways of drawing 1 cards from 52 cardsn(S)=52Let E = event of getting 1 card…

Q: A manufacturing machine has a 8% defect rate. If 6 items are chosen at random, what is the…

A: Given data:   The given probability of defect rate is p=8%=0.08. The given numbers of items are n=8.…

Q: Suppose that a company owns 500 computers. Each computer has an 11% probability of not working.…

A: It is given that n =19.

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,…

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.