An incoming lot of material contains 20 items. A sample of 3 items will be inspected and each item will be classified as defective or non-defective. If the sample of 3 items contains 1 or fewer defectives, the incoming lot will be accepted, otherwise it will be rejected. It is known that each item in the incoming lot has a probability of 0.10 of being defective. (a) What is the probability that the lot is accepted? (b) What is the probability that we have to inspect exactly 5 lots until we find the third accepted lot? (c) What is the expected value and the variance of the number of lots that are necessary to find the third accepted lot?

Q: A sweety jar contains 15 jelly babies, of which 8 are red and the rest are Green. Suppose you…

A: Let A be the event of getting  GREEN jelly babies and B be the event of getting RED jelly babies. By…

Q: A retired person chooses randomly one of the six parks of his town everyday and goes there for…

A:

Q: A survey was made among 100 graduates to report on their employment status. The sample comprises 50…

A: Given that; 60 graduates are unemployed with 2/3 of them male 40 graduates are employed with 3/4 of…

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: A cast for Hamlet still need to fill 6 rolls. Two of the roles are reserved reserved for women and…

A: (a). Find the probability that a cast contains exactly 3 women: It is given that, a cast for Hamlet…

Q: A bucket contains 10 tennis balls, 7 baseball and 9 golf ball. Suppose you pick 5 balls at random.…

A: Let us denote X=number of golf balls We have to find P(X≤2)=P(X=0)+P(X=1)+P(X=2)   X=0: we can pick…

Q: Three students are selected randomly from a group of 3 males and 7 females. Find the  probability…

A: Introduction: A group consists of 3 males and 7 females, that is, 3 + 7 = 10 students.

Q: Assume that the class consists of 45 percent freshmen, 5 percent sophomores, 20 percent juniors, and…

A: E1: Freshman   P(E1) = 0.45 E2: Sophomores  P(E2) = 0.05 E3: Juniors      P(E3) = 0.2 E4: Seniors…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: During an epidemic of a certain disease, a doctor was consulted by 100 people suffering symptoms…

A: General formula of probability is , Probability = Number of favorable outcomes Total outcomes

Q: In a grocery store there are 10 brands of canned tuna, 3 of which are on sale. a market goer takes 5…

A: Given : p = 310    = 0.3 n = 5

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: In question, Given that 38% of the teachers at a high school are male teachers. Then we'll find the…

Q: A class consists of 25 students of which 10 are girls are 15 are boys; 4 girls and 6 boys were put…

A:

Q: An institute wants to appoint 6 lecturers. There are 40 applicants of which 25 are men and 15 are…

A: Given   40 application=25(men)+15(women)  Farmula used  nCr=n!/[r!(n-r)!]

Q: Suppose a jar contains 20 red marbles and 23 blue marbles. You reach in the jar and pull out two…

A:

Q: If there are, on the average, 7 defects in a new car, what is the probability that your new car has…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: A class has 36 students. Each student studies either Math or Computer or both. 20 students study…

A: It is given that, 20 students study Math i.e. n(Maths) = 20 and 25 students study Computer i.e.…

Q: A box contains 4red and 2 blue marbles. Find the probability that if two marbles are drawn at random…

A: Given data A box contains 4 red and 2 blue marbles.

Q: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange  Without Replacement we…

Q: A farmer has a box containing 30 eggs, 5 of which have blood spots. He checks eggs taking them at…

A: It is an important part of statistics. It is widely used.

Q: A bag contains 3 white balls, 4 black balls, and 5 red balls. If 3 balls are drawn at random,…

A:

Q: Assume that the class consists of 30 percent freshmen, 20 percent sophomores, 25 percent juniors,…

A: Consider A be the event that the students want to go to medical school. The provided probabilities…

Q: (1) What is the probability that the second apple you pick is red?   (2) What is the probability…

A: (1) A bag has 10 apples in which 6 are red and 4 are yellow. considering the selection is done by…

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Two students came late one morning and gave the teacher the excuse that, the car they were riding…

A:

Q: A contractor orders doors from a local manufacturer to fit the homes they are building. The…

A: Consider that p is defined as the probability that a door will have defects. Since, 3 doors are…

Q: An accounting firm has recently recruited six graduates: three men and three women. Three of the…

A:

Q: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

Q: What is the probability that this package will be rejected?

A: Solution: From the given information, out of 15 light bulbs 3 are defectives.

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.