A company receives a shipment of 16 items. A random sample of 4 items is selected, and the shipment is rejected if any of these items proves to be defective.a. What is the probability of accepting a shipment containing 4 defective items?b. What is the probability of accepting a shipment containing 1 defective item?c. What is the probability of rejecting a shipment containing 1 defective item?

Q: A ball is drawn randomly from a jar that contains 2 red balls, 4 white balls, and 9 yellow balls.…

A: Given: A jar contains 2 red balls, 4 white balls and 9 yellow balls.

Q: 2. A toy manufacturer inspects boxes of toys before shipment. Each box contains 10 toys. The…

A: Formula : Hypergeometric distribution is given by

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 10 flights are…

A: For a defined random variable, X~B(n,p), the pmf is P(X=x)=nCxpxq(n-x) ; x=0,1,2,..n…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: A restaurant chef prepares tossed s probability that the salad contains m (a) on a given day (b) on…

A:

Q: One day, 17 cars were parked at H Tower. a. What is the probability that there are 10 or less cars…

A:

Q: According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 25…

A: From the given information,Let the x be a random variable that follows binomial distribution with…

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: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 9 flights are…

A: Given : Delta Airlines flights from Boston to Seattle are on time 60% Let p : Proportion of flights…

Q: A barber shop is willing to provide a full refund for customers who are not satisfied with the…

A: Givenp=0.20n=10x~Binomial(n=10,p=0.20)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n

Q: 1. What is the probability of randomly selecting a Jack from the deck of 52 cards?

A:

Q: a penalty being assessed is 0.31. What is the probability that your tax return is audited but you do…

A: Here  Given  Probability of tax return being audited=P(A)=0.02 ProbabIlity of Penalty being assessed…

Q: 11. In a survey of high school students, 288 students indicated that they played organized sports…

A: Step 1:To find the probability that a randomly selected student indicated they played organized…

Q: 17 cars were parked at XYT Tower one day. a. What is the probability that there are more than 10…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: If someone puts 3 red socks, 6 white, 2 yellow, and 7 black in a bag. a. What is the probability…

A: According to the given information, it is required to find the probability of the given information.…

Q: 7. From a group of 14 boys and 10 girls, a committee of 3 students is chosen at random. a. What is…

A:

Q: involving the selection of colored balls from a box. Assume that the box contains 7 balls: 2 red, 4…

A: Since you have posted multiple questions, we have provided answer for first question as per our…

Q: 6. On average, 5 customers visit a store every 15 minutes. What is the probability that exactly 7…

A: It is given that on average 5 customers visit a store every 15 minutes.

Q: Delta Airlines' flights from Denver to Atlanta are on time 50 % of the time. Suppose 14 flights are…

A:

Q: 3. A group of people were asked if they had run a red light in the last year. 150 responded “yes”,…

A: Given,no.of people had run ared light in the last year=150no.of people responded "no" =185Total…

Q: 8. It is reported that 77% of workers aged 16 and over drive to work alone. Choose 4 workers at…

A:

Q: 13) Approximately 59.4% of adults have added bleach to their laundry. Assume six adults are randomly…

A: Given n=6 P=0.594

Q: 7. An assembly line has two inspectors. The probability that the first inspector will miss a…

A:

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.