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 large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the…

A:

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: Assume that among the computers brought to a certain shop for repairs, the probability of a computer…

A:

Q: A bag contains 21 colored blocks. 5 of them are green 7 of them are red, and 9 are black You…

A: Given data: The total numbers of blocks are n=21. The numbers of green blocks are g=5. The numbers…

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: What is the probability that a computer comes from Factory A? Answer: A computer is selected at…

A: Let us define some events A : a computer comes from factory A. B : a computer comes from factory B.…

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 box consists of five green balls, three black balls and seven red balls. Two balls are selected…

A: Given that  five green balls, three black balls and seven redballs Two balls are selected without…

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: A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of…

A: Let F - football players B - basketball players. P(F) = 0.28 P(B) = 0.71 P(F and B) = 0.03

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: 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: 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: A company has 6 stores in New York and 7 stores in Chicago. Three of the stores are randomly…

A: (a) A company has totally 13 stores in which 6 stores in New York and 7 store in Chicago. The three…

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

A:

Q: In shooting arena there are 5 different guns. Probability of hitting aim from gun1 is 0.5.…

A: Given: P (H | 1 ) = 0.5 P (H | 2) = 0.55 P (H |3) = 0.7 P (H | 4) = 0.75 P (H |5) = 0.4 where H is…

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: A box contains 3 coins, where one coin is fair, one coin is two-headed, and one coin is weighted so…

A:

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

A:

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 33% of…

A: Let A be the event of playing football B be the event of playing basketball Given data,…

Q: Assume that a machine produces 2% defective items. A random sample of 25 items is chosen. (i) Find…

A: Given Data: The number of items in the sample is: n=25 The probability of defective items is:…

Q: The probability that an American industry is located in Shanghai, China is 0.62, the probability…

A: We have given that  P(A) = 0.62 P( B) = 0.49 P( A U B ) = 0.77

Q: A company in California has multiple employees working in different professions.In the company 10%…

A:

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: Suppose you have a large bucket of fruit candy, where 1% is orange flavor, 13% is mango flavor, 9%…

A:

Q: What is the probability that selected coin is nickel? If it is nickel, what is probability that it…

A: Given :  Box A= 5 nickels and 3 quarters             Box B =  8 nickels and 4 quarters A coin is…

Q: ents caught at random find the probability that (i) none of them is them is mischievous.…

A: Given that  Number of trials n=3 Success of probability p =0.05 X~binomial (n , p)

Q: There are 400 seniors in highschool, of which 180 are males. It is known that 85% of the males and…

A: Given,

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.