Due to the recent detection of phosphine gas in Venus's atmosphere, Space Force needs to form a 12-person committee that will work on a future mission to Venus. There is a total of 35 astronauts and 45 biologists who are interested on being on this committee. Find the probability that the committee will consist of 3 astronauts and 9 biologists. O 0.084 0.023 O 0.072 0.017 0.096

Q: An advertising company has 12 men and 8 women. Suppose the company needs to select a team of 5…

A: Given that Total member=12+8=20 Men member=12 Women member=8 5 member are selected at random

Q: One overnight case contains 3 bottles of aspirin and 4 bottles of thyroid tablets. A second tote bag…

A: Solution-: We have, Bag 1: 3 Aspirin tablets +4 Thyroid tablets =7 tablets Bag 2: 3 Aspirin tablets…

Q: In a chocolate factory, 30% of all chocolates made contain caramel in the center.  (a) What is the…

A: Let chocolate made containing caramel be considered a success. Thus, p = probability of success =…

Q: Every thirteenth box of Smash cereal that is produced contains a special toy. If you buy a box of…

A: Given, Number of Smash cereals with special toys are in x  number of Smash cereals produced = 13*x…

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: The average number of homes sold by the Acme Realty company is 2 homes per day. What is the…

A: Given Information Average number of homes sold by the Acme Realty is 2 homes λ = 2 Let X denotes the…

Q: An advertising company has 12 men and 8 women. Suppose the company needs to select a team of 5…

A: Given,no.of mens=12no.of womens=8Total no.of members=20

Q: The Philippine Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Givenan average of 20 earthquakes a dayλ=20 earthquakes a day x~poisson(λ=20)P(X=x)=e-λ×λxx!    ;…

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

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

Q: If two dice are thrown, what is he probability that the number on the first die is less than the…

A:

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs  and 4 daffodil…

A: The probability is calculated by dividing the number of observation can involve in the sample…

Q: A manufacturer ships toasters in cartons of 10. In each​ carton, they estimate a 30​% chance that…

A: Let X be the random variable from binomial distribution with probability (p)= 10% = 0.10 and sample…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.972, what is…

A: It is given that the probability that a vaccine will protect a person from getting the flu is 0.972.

Q: In a large city there are an average of 02 fires per year. What is the probability that next year…

A: Solution: Let X be the number of fires per year. From the given information, average number of fires…

Q: In a family with 3 children, excluding multiple births, what is the probability of having exactly 2…

A:

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Givenn=6p=0.75x~Binomial(n=6,p=0.75)P(X=x)=Cxn px (1-p)n-x  ; x=0,1,2...,n

Q: if a box containing 200 light bulbs will have 3% defective bulbs, find the probability that 4 bulbs…

A:

Q: Garrett buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 5…

A: There are 4 chocolate chip, 6 peanut butter, 5 sugar and 7 oatmeal cookies in the bag. So, total…

Q: The probability that a house in an urban area will be burglarized is 3%. If 22 houses are randomly…

A: Answer: Given that: p= 0.03 , n= 22 now will use Binomial probability…

Q: A history class is comprised of 5 female and 10 male students . If the instructor of the class…

A: Given: Number of females = 5 Number of males = 10 Total number of students = 5+10…

Q: In a math class with 21 students, a test was given the same day that an assignment was due. There…

A:

Q: In the US in 2021, 62% of households subscribed to Netflix streaming services and 57% subscribed to…

A:

Q: A zoologist has determined that Loggerhead Sea Turtle eggs hatch about 65.2% of the time. What is…

A:

Q: A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a…

A: ANS#-  Here we are given that, P ( haircut ) = 0.87 ; P ( color ) = 0.40 ; P ( color | haircut ) =…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.922 , what is…

A: The sum of probabilities of different cases of a scenario is always 1.Here after taking the vaccine,…

Q: Amanda buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 7…

A: Given that 6 chocolate chip cookies, 7 peanut butter cookies, 7 sugar cookies and 6 oatmeal raisin…

Q: The employees of a firm that manufactures insulation are being tested for indications of asbestos in…

A: NOTE-AS PER POLICY I HAVECALCULATED FIRST MAIN QUESTION ONLY       Here Given proportion of…

Q: A class of 20 juniors, 30 seniors, and 10 graduate students makes up an advanced physics class.…

A:

Q: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

A: Given problem Given that   A class in Engineering Data Analysis consists of 6 women and 4 men.…

Q: The probability that a medical student owns a laptop is 0.47, owns a MP4 is 0.45, and owns either a…

A: Given The probability that a medical student owns a laptop is 0.47 The probability that a medical…

Q: I place a plate containing 4 pieces of mango, 3 pieces of pear and 2 pieces of apple in front of my…

A: A plate contains 4 pieces of mango, 3 pieces of pear and 2 pieces of apple, that is totally there…

Q: In a family of 3 children, what is the probability that the middle child is a girl?

A: If a family have 3 children, then the possible outcomes…

Q: A fuel company conducts a geologic survey, that has a 20% chance of striking an oil reserve. What is…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 - p)n…

Q: two books are selected from a box containing 6 fiction and 8 nonfiction books. find the probability…

A: It is given that two books are selected from a box containing 6 fiction and 8 nonfiction books.…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.016 , what is…

A: Given that, The probability that a vaccine you took will protect you from getting the flu is 0.016.…

Q: Lebo has 3 blue pens,2 red pens,5 black pens and 2 pencils in his pencil case.What is the…

A: Given : Lebo has 3 blue pens,2 red pens,5 black pens and 2 pencils in his pencil case

Q: In a large population, 56 % of the people have been vaccinated. If 3 people are randomly selected,…

A: P(vaccinated) =p = 0.56 P(not vaccinated) = 1-0.56 = 0.44

Q: The probability that a lightbulb is defective is 0.1 (meaning "good" is 0.9). 1. What is the…

A:

Q: Mayco, a mail-order department store, has six telephone lines available for customers who wish to…

A: Solution: Let X be the number of six lines will be in use when a customer calls to a place an order…

Q: On an average, there are 2 visits to a supershop per minute. What is the probability that the…

A: Givenon average 2 visits to a supershop per…

Q: In a blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture…

A: From the given information, the probability of test positive is 0.1, the probability of test…

Q: To reduce laboratory costs, water samples from four public swimming pools are combined for one test…

A:

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs and 4 daffodil…

A: Solution-: We have 5 tulip bulbs and 4 daffodil bulbs. Total number of bulbs =5 (tulip bulbs)+4…

Q: From a bag containing 5 blue balls, 3 yellow balls, and 2 green balls, 1 ball is drawn. Find the…

A: It is given that Number of blue balls = 5 Number of yellow balls = 3 Number of green balls = 2 Total…

Q: A class in Engineering Data Analysis consist of 6 women and 4 men. Their grades are calculated, and…

A:

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 9 seeds are planted…

A: Solution: Let X be the number of seeds don’t grow and n be the sample number of seeds. From the…

Q: Amy buys a bag of cookies that contains 7 chocolate chip cookies, 8 peanut butter cookies, 5 sugar…

A: There are total (7+8+5+7)= 27 cookies  She can pick the first cookie in 27 ways and second cookie in…

Q: During a recent year, there were 15.3 million automobile accidents, 5.2 million truck accidents, and…

A: Number of automobile accidents   = 15.3 million Number of truck  accidents   = 5.2 million Number of…

Q: A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the…

A: Given data, Red marbles=6 Black marble=10 Total marbles=16   P(Marble is not black)=?

Q: A little boy loses his shoe once in every three trips to the backyard. What is the probability that…

A: Obtain the probability that he will lose his shoe at least once in the next six trips. The…

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.