60% of the employees in a specialized department of a large software firm are computer science graduates. A project team is made up of 9 employees. Part d) There are 54 such projects running at the same time and each project team consists of 9 employees as described. On how many of the 54 project teams do you expect there to be exactly 3 computer science graduates? Give your answer to 1 decimal place.  Part e) I meet 20 employees at random. What is the probability that the third employee I meet is the first one who is a computer science graduate? Give your answer to 3 decimal places.  Part f) I meet 27 employees at random on a daily basis. What is the mean number of computer science graduates among the 27 that I meet? Give your answer to one decimal place.

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: physics class has 50 students. Of these, 17 students are physics majors and 18 students are female.…

A: It is given that, in a physics class, there is a total of 50 students. Out of these, 17 students are…

Q: A four-person is selected at random from a population of 14 men and 16 women. What is the…

A:

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: An optometrist is checking the vision of students in a class. There are 20 students without glasses…

A: We have given that,  Students without glasses = 20  Students with glasses = 12  Total students =…

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: Mrs. Maria's Market buys 77% of eggs from farm A and the rest from farm B. Of the eggs from A, 7%…

A:

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: B- A magazine reported that 20% of American drivers read the newspaper while they driving. If 15…

A: Given data Probability of reading newspaper while driving p = 0.2 No of drivers selected n = 15 Let…

Q: Suppose that 44% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   Any two events A and B are said to independent if the occurrence of the event…

Q: 88% of adults are high school graduates.  If a random sample of 10 adults is chosen, find the…

A: p=0.88sample size(n)=10Let "x" no. of adults are graduatesx~Binomial(n=10,p=0.88)P(X=x)=

Q: A batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from a supplier of…

A: We know that, Probability, p= X/N Here X= 80 and N= 120 p= 80/120  p= 0.67 and q= 1-p q= 1-0.67 q=…

Q: A physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are…

A:

Q: Airline flights from Boston to Atlanta are on time 50 % of the time. Suppose 6 flights are randomly…

A: Solution: Let X be the number of flights are on time and n be the number of airline flights from…

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

A:

Q: A physics class has 50 students. Of​ these, 13 students are physics majors and 15 students are…

A: Given that, Total number of students = 50Number of physics major students = 13Number of female…

Q: You are looking for a student at your college who lives within 10 kilometers from you. You recall…

A: Let X be the number of calls made to get the first success that is calling a student that lives…

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: Assume that when 3 adults with smartphones are randomly selected, 46% use them in meetings or…

A:

Q: Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 40% of people own dogs.Let X be the number of people own dogs following binomial…

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: In a student body, 50% use Google Chrome, 12% use Internet Explorer, 10% Firefox, 5% Mozilla, and…

A:

Q: Assume that 65 percent of the students at the university have taken 4 years of high school math. Of…

A:

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: a jury of 16 people is selected from 24 people: 12 women and 12 men. What is the probability (to the…

A: From the provided information, A jury pool consists 24 people. Total men = 12 Total women = 12

Q: A physics class has 40 students.  Of these, 17 students are physics majors and 15 students are…

A: Given ,A physics class has 40 students . 17 students are physics majors15 students are female .So…

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: To determine whether car ownership affects a student's academic achievement, random samples of 100…

A: It is assumed that the population variances are not equal.

Q: large metropolitan area, the past records revealed that 30% of all high school graduates go to…

A: Given that  n = 10 , p = 30% = 0.30 , q = 1 - p = 1 - 0.30 = 0.70 X ~ Binomial ( n = 10 , p = 0.30)…

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: You pick three colored balls at random successively. What is the probability that the order is pink,…

A: It is given that Number of pink balls = 5 Number of white balls = 6 Number of gray balls = 7 Total =…

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 42% of people are on low calorie diet. If you pick three people at random, what is the…

A:

Q: A Supervisor of a pharmacy found that 30% of the workers receive their spending money from part –…

A: Obtain the probability that at least 3 of them will have part- time jobs. The probability that at…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow ​balls, 6 brown…

A: It is given that the number of yellow balls is 8, brown balls is 6 and black balls is 6.

Q: A cookie is selected at random from a basket containing 10 peanut butter ​cookies, 8 caramel…

A: From the provided information, The basket contains 10 peanut butter cookies, 8 caramel cookies, 12…

Q: Suppose that 40% of people own dogs. If you pick two people at random, what is the probability that…

A: Here, n = 2 and p = 0.4.

Q: In the current campaign period, suppose a random person is selected, based on previous survey, there…

A:

Q: an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to…

A: Given that there are 10 juniors and 7 seniors. Total number of students is 10+7=17. And 4 students…

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.