Suppose that a certain college class contains 59 students. Of these, 27 are sophomores, 34 are mathematics majors, and 5 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that she is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.) (a)0 (b) 0 X S

Q: Express the probability that the next customer will pay with a credit card as a reduced fraction.

A: Total number of customers = (62 + 20 + 34) = 116 Number of customers used credit card = 34

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

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

Q: A pet store has 14 ​puppies, including 5 ​poodles, 5 ​terriers, and 4 retrievers. If Rebecka and​…

A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…

Q: Three beans are selected from a large jar containing equal amounts of white beans and red beans. An…

A: (a) The probability of each event is obtained as shown below:

Q: A small class has  9  students,  5  of whom are girls and  4  of whom are boys. The teacher is…

A: GivenNo.of girl students=5No.of boy students=4Total no.of students=9

Q: One of two urns is chosen at random with one as likely to be chose rom the chosen urn. Urn 1…

A: Given, P(Urn 1) = P(Urn 2) = 1/2

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: There are 15 M&M’s in a bag: 6 red, 5 blue, 3 green, and 1 yellow. If you draw a green M&M first and…

A:

Q: A jar contains 3 white marbles, 4 orange marbles, 6 yellow marbles, and 5 black marbles. If a marble…

A: A jar contains number of marbles  3 white, 4 orange, 6 yellow, anf 5 black marbles total number of…

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: A group of people were asked if life exists elsewhere in the galaxy. 270 responded "yes", and 478…

A: Probability= n(E)/n(S) Where  n(E)= number of possible events n(S) = total number of possibilities.…

Q: (a) Check the outcomes for each of the three events below. Then, enter the probability of each…

A: The letter R indicates that a bean is red, and the letter W indicates that a bean is white. The…

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: Number of balls in first urn = 1 white and 5 red ballsNumber of balls in second urn = 4 white and 2…

Q: What is the probability of getting either a diamond or a jack when drawing a single card from a deck…

A: Total cards (T) = 52Jack cards (J) = 4 Diamond cards (D) = 13Diamond and Jack cards (J and D) = 1

Q: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All  pieces of…

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: Suppose that the waiting times for patients at a local hospital are normally distributed with a…

A: Given data,n=75σ=30x=90z-value at 95% confidence is Zc=1.96Upper Confidence limit=?

Q: If the letters s, e, n, s, e, I, e, s, and s are chosen at random, what is the probability that they…

A: We have given letters are : s,e,n,s,e,l,e,s and s  Total number of letters = 9  Number of 's' letter…

Q: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

A: There are three puppies in a particular litter. Assume that the probability of a puppy being male is…

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Each individual letter of the word Minnesota is placed on a piece of paper, and all 9 pieces of…

A: Given that, Total papers=9 Consonant papers= 5 We know that probability of any event A is  P(A)=…

Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

A: