A history class is comprised of 8 female and 6 male students. If the instructor of the class randomly chooses 12 students from the class for an oral exam, what is the probability that 7 female students and 5 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.)

Q: Find the probability of selecting  4  science books and  3  math books from  7  science books and…

A: Given information No of science books = 7 No of Maths books = 9 Total book = 7 + 9 = 16 4 science…

Q: Find the probability of choosing a letter other than the letter L from a bag that contains the…

A:

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: P3 Harvard students graduate with honors =

A: Let , X be the number of Harvard students graduate with honors Here , X→B(n=3 , p=0.48) The…

Q: At a pizza restaurant, the probability that a customer will order pizza is 0.9 and the probability…

A: Conditional probability : The probability of event B given that the event A has already occurred is…

Q: bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that you do…

A:

Q: There are 6 male students and 21 female students in a class. If you choose 2 students at random,…

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

Q: Find the probability of dealing two red cards from a standard deck of cards.

A: In a standard deck of cards, there are 52 cards in total out of which there are 26 red cards and 26…

Q: At a large university, the probability that a student takes calculus and is on the dean’s list is…

A: Solution: From the given information,

Q: find the probability of being dealt a hand of four cards from a standard deck that contains all four…

A: find the probability of being dealt a hand of four cards from a standard deck that contains all…

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth…

A: Given Information: To find out the probability that both captains will be eighth grade.

Q: A jar contains 3 red, 2 white, and 5 blue marbles. What is the probability of selecting two marbles…

A:

Q: Finn and James are going to have a movie night this weekend. Together, they have 42 movies. If they…

A: n=number of movies= 42 choose two movies randomly and both are different.

Q: If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be…

A: Event: The collection or the set of outcomes in an experiment is called as an event. Complementary…

Q: Liam and John are going to play video games this afternoon. Together, they have 30 video games. If…

A: Total no.of video games=30

Q: Find the probability of selecting 5 science books and 3 math books from 14 science books and 8 math…

A: given data, 14- scienece books08- math books22- total books p(selecting  5 science books and 3 math…

Q: There are 9 people in a group. They are picking straws to see who has to clean the house. If 1 more…

A: Total number of persons in the group originally = 9 When 1 women entered in the group then  Total…

Q: Find the probability of being dealt a red ace, a two, then a three, in this order, without replacing…

A: P(E) = Number of favourable outcomesTotal number of possible outcomes Total number of possible…

Q: There are 6 male students and 17 female students in a class. If you choose 2 students at random,…

A: Solution: From the given information, there are 6 male students and 17 female students. Total number…

Q: There are 150 members of the senior class. You survey 25 members of the class randomly and 22 say…

A: It is given that the  There are 150 members of the senior class i.e. N=150 We take a survey of 25…

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 11…

A: Given the table is : ABCTotalMale1115733Female109625Total21241358

Q: (c) Find the probability that all four tires have low air pressure. The probability that all four…

A:

Q: Find the probability of selecting two jacks in a row without replacement. answer as a decimal…

A: A deck has 52 cards in total. There are 4 jacks in each suit.

Q: At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32…

A:

Q: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth…

A: P[8th grader chosen for 1st team]= 210 P[8th grader chosen for 2nd team] = 49

Q: A swim team consists of 5 boys and 4 girls. A relay team of 4 swimmers is chosen at random from the…

A: Solution-: Given: Number of boys=5 and Number of girls=4    Total=5 (Boys) +4( girls)=9  A relay…

Q: At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 3232…

A: Given that  Number of books=32 books  3 books are randomly selected  We have to find the probability…

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.