A committee of 3 members is selected from a club made up of 20 junior members and 10 senior members. What is the expected number of juniors in the​ committee? Fill out the probability table​ below, where x represents the number of juniors in the committee.   x 0 1 2 3 P(x)

Q: 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the…

A: Drawer contains  Red socks  = 11 Black socks = 8 Total socks in drawer (n) = 11+8 = 19 Here we are…

Q: A factory received a shipment of 48 bolts, and the vendor who sold the items knows there are 5 bolts…

A: There are 48 bolts received a shipment from factory in which 5 bolts are defective then 43 bolts are…

Q: Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is…

A: total = 6 camera defective = 3  probability of defective = 3/6 = 0.5 probability of not defective =…

Q: The probability that a randomly selected 33​-year-old male chipmunkchipmunk will live to be 44 years…

A: Given, The probability that a randomly selected 3-year-old male chipmunk will live to be 4 years old…

Q: The probability that 2 products are defective is 27.3 A The probability that at most 4 are defective…

A: Probability of product being defective is 2% and total number of products tested are 100

Q: n a large population, 55 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: n a large population, 61 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Given that  In a large population 61% of people have been vaccinated. P = 0.61 ; (1-P) = (1-0.61) =…

Q: Hospital records show that 75% of the patients will recover from a certain disease. i. What is the…

A: According to the provided information, The probability that patients will recover from a certain…

Q: In a large metropolitan area, past records revealed that 30 percent of all the high school graduates…

A: Given data isp=30%=0.3n=10Let "x"  no. of graduates who will not go to…

Q: In a large population 59% of the people hace been vaccinated.  If 5 people are randomly selected…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: The probability that a randomly selected 33​-year-old male chipmunkchipmunk will live to be 44 years…

A: Given, The probability that a randomly selected 3-year-old male chipmunk will live to be 4 years old…

Q: A university bookstore claims that 50% of its customers are satisfied with the service and their…

A: The probability that in a random sample of 600 customers, less than 45% are satisfied is, Thus, the…

Q: 3. A box holds 3 red and 5 blue marbles. If 2 marbles are to be drawn at random with replacement and…

A: Given: There are 3 red and 5 blue marbles 2 marbles are drawn at a random with replacement. X : the…

Q: A factory received a shipment of 28 lightbulbs, and the vendor who sold the items knows there are 7…

A:

Q: In a local college, 70% of students have a part-time job outside of school. Suppose that we want to…

A: Solution: Let X be the number of students have a part-time job outside of school and n be the sample…

Q: Daniil Dubov has a 30% chance of winning a professional chess tournament. a. In a year if there are…

A:

Q: A box contains 23 calculators, 3 of which are defective. 3 calculators are selected at random from…

A: GivenBox total calculators= 23 Defective calculator=3Randomly selected calculator=3

Q: A factory produces components of which 5% are defective. Components are packed in boxes of 10. A box…

A: Given,n=10p=0.05X=no.of defective components.X~Binomial(n=10 , p=0.05)P(X=x)=cxn px(1-p)n-x    ;…

Q: are the outcomes that are possible when a couple has three children. Assume that boys and girls are…

A:

Q: In a production line where shirts are produced, it produces shirts in two colors, blue and red. It…

A: Given that 14 of the 100 shirts produced in this production line are red. Probability that a shirt…

Q: A factory received a shipment of 49 bolts, and the vendor who sold the items knows there are 5 bolts…

A: According to the provided information, there are 49 bolts and 5 in the shipment that are defective.…

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: Using poisson distribution Find p( x<=4)=?

Q: The Food Marketing Institute shows that 17%  of households spend more than $100.00  per week on…

A: Obtain the probability that the sample proportion will be within + –0.02 of the population…

Q: A dentist was making note of her upcoming appointments with different aged patients and the reasons…

A: We want to find the probability that a randomly selected appointment is for a broken tooth given…

Q: he incidence of disease in a forest is suc that 20% of the trees in the forest have the chance of…

A: Given, the incidence of disease in a forest is such that 20% of the trees in the forest have the…

Q: A factory received a shipment of 28 lightbulbs, and the vendor who sold the items knows there are 7…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: a) What is the probability that at least 3 have conditions caused by outside factors? b) What is…

A: According to the answering guidelines, we can answer only 3 subparts of a question and the rest can…

Q: Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is…

A: This can be solved using binomial law:

Q: he proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given that The proportion of eligible voters in the next election who will vote for the incumbent is…

Q: An automobile manufacturing company uses ten industrial robots as welders on its assembly line. On a…

A: (a) An automobile manufacturing company uses ten industrial robots as welders on its assembly line.…

Q: The probability of liking chocolate is 75%. If a sample of 12 students were taken from DWC, find: 1.…

A:

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given N=800 P=0.17

Q: A manufacturer of metal pistons finds that on the average, 10% of his pistons are rejected because…

A:

Q: Find the indicated probability. A company manufactures calculators in batches of 55 and claims that…

A: Introduction: Denote X as the random variable of interest here, which is the number of defects in a…

Q: Find the indicated probability. 12. In a blood testing procedure, blood samples from 5 people are…

A: ( 12 ) Given n =5, p =0.03 p(positive ) =?

Q: here are 500 seniors at a certain high school, of which 230 are males. It is known that 30% of the…

A: Using Tree diagram I have answered it

Q: A box containing 5 red balls and a number of white balls. Two balls were withdrawn randomly with…

A: Let the number of white balls be x. Total Balls = 5+x Now, It is given that two balls were withdrawn…

Q: 4. Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda…

A: In our daily life, we all may come across some situation where we may go someplace or may not go. In…

Q: A dry cleaning firm has 20 employees: 13 women and 7 men. Two of the women and seven of the men are…

A:

Q: 10. In a family with 77 children, excluding multiple births, what is the probability of having…

A: The probability of having exactly 2 girls is obtained below: The probability formula is given below:…

Q: A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4…

A: Given,n=4p=12    (probability of selecting traditional students)q=1-12=12A random variable…

Q: A box contains 19 large marbles and 11 small marbles. Each marble is either green or white. 5 of the…

A: Given that  A box contains marbles each marble is either green or white. Large marbles = 19 Small…

Q: A raffle is held in a club in which 8 of the 37 members who bought raffle tickets are good friends…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: 3. Aplinko game is composed of a board and a disc. The player drops the hits a series of pegs that…

A: Let the Buckets are named as A, B, C , D and E A $100 B $0 C $0 D $0 E $50

Q: 4. According to the Red Cross Blood Organization, the blood type most requested by hospitals is type…

A: For the given data p =0.45 Find the given probabilities

Q: A finite lot of 20 watches is 20% defective, what is the probability that in a sample of 3 will…

A:

Q: factory received a shipment of 39 hammers, and the vendor who sold the items knows there are 7…

A:

Q: committee of 4 is being formed randomly from the employees at a school: 4 administrators, 32…

A:

Q: A box contains 31 calculators, 5 of which are defective. 5 calculators are selected at random from…

A:

Q: Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is…

A: Given that, Box contains 6 cameras and 3 of them are defective we have to select 2 cameras

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.