Suppose that a certain college class contains 45 students. Of these, 20 are freshmen, 29 are economics majors, and 9 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a freshman and an economics major? (b) Given that the student selected is a freshman, what is the probability that he is also an economics major? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) (b) X S

Q: The group of students who are selecting 2 of their group at random to give a report, but assume that…

A: Given: The group of students who are selecting 2 of their group at random to give a report, but…

Q: Suppose that a certain college class contains 60 students. Of these, 31 are sophomores, 35 are…

A: (a) The event S is defined as the the student is a sophomore and event M is defined as the student…

Q: Here is a table showing all  52 cards in a standard deck. Suppose one card is drawn at random from…

A: Answer:- From the given table of cards ,  Total number of cards, n = 52  Number of red cards is,…

Q: In a class, 22 people live on campus and 2 people live off-campus. If we were to draw one student's…

A: To find out the probability of student living off-campus.

Q: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is,   Vanilla Chocolate Other Total Children 3 2 1…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Total Marbles = 3 Red + 4 Green + 3 White + 1 Purple = 11 To Find P(Not all red) = 1 - P(All red)

Q: a. What is the probability that the student is in proper uniform? b. A female student is picked at…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: To find n(S), calculate the number of ways to select 8 marbles from the total number of marbles in…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given,Number of red marbles, n(red) = 3Number of green marbles, n(green) = 5Number of white marbles,…

Q: Suppose that a certain college class contains 49 students. Of these, 27 are sophomores, 26 are…

A: Let S be the event of getting sophomores  E be the event of getting English major  n(S)=27, n(E)=26,…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: The total number of marbles is: N=3+4+3+2=12 Suzan grabs total of n=7 marbles. The probability that…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that a certain college class contains 50 students. Of these, 30 are freshmen, 24 are…

A: given dataevent A:-freshemen =30event B:- mathematics majors=2411 are  neither n(A∩B)=11a student is…

Q: Suppose that a certain college class contains 38 students. Of these, 26 are sophomores, 15 are…

A: Given Information: A certain college class contains 38 students. Of which 26 are sophomores and 15…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: Suppose that a certain college class contains 37 students. Of these, 19 are seniors, 21 are biology…

A:

Q: John has 2 coins, one fair and the other unbalanced so that the probability of its coming up tails…

A: Let's use Bayes' theorem to calculate the probability of John having picked the unbalanced coin…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given dataNo of red marbles = 4No of green marbles = 2No of white marbles = 3No of purple marbles =…

Q: Suppose that a certain college class contains 59 students. Of these, 27 are sophomores, 34 are…

A: From the given information. The total number of students are N=59. The number of sophomores majors…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: