At a certain college, 30% of the students major in engineering, 20% play club sports, and 10% both major in engineering and play club sports. A student is selected at random. a) What is the probability that the student is majoring in engineering? b) What is the probability that the student plays club sports? c) Given that the student is majoring in engineering, what is the probability that the student plays club sports? d) Given that the student plays club sports, what is the probability that the student is majoring in engineering? e) Given that the student is majoring in engineering, what is the probability that the student does not play club sports? f) Given that the student plays club sports, what is the probability that the student is not majoring in engineering?

Q: 10 animals are randomly put into a line. There are 3 cats and 4 dogs. What is the probability all…

A: Solution

Q: A card is randomly selected from a standard deck of 52. What is the probability that the card is…

A: Given: A card is randomly selected from a standard deck of 52.

Q: A Jury consists of five men and seven women. Three Jury members are selected at random for an…

A: It is given that  Number of men = 5 Number of women = 7 Total = 12 Sample size = 3

Q: In a class of 20 students, 7 play an instrument and 9 play a sport. There are 9 students who do not…

A: The total number of students is .The total number of students who play an Instrument is .The total…

Q: 5) People were asked if they prefer Pepsi or Coke. The results are in the table below. Female Male…

A: ( a ) P( both prefer Pepsi) = ? ( b ) P( Female or Coke ) = ?

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 type A​ balls, 4 type…

A: Total number of balls=6+4+3=13

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of…

A: Let F - football players B - basketball players. P(F) = 0.28 P(B) = 0.71 P(F and B) = 0.03

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: ollege soccer team has 15 players; 7 are seniors, 6 are juniors, and 2 are sophomores. Two players…

A: We have given,  15 player are there. 7 are senior's  6 are junior's 2 are sophomores.

Q: A bag contains five red marbles and eight white marbles. If a sample of three marbles contains at…

A: Solution-:Given: A bag contains 5 red marbles and 8 white marbles.If a sample of three marbles…

Q: A class consists of 10 male and 30 female students. Of the 30 females, only 5 did not have pet. Six…

A: The probability of an event E  is defined as the ratio of favourable number of outcomes to the total…

Q: There are 30 students in a class, 16 students can speak French,21 students can speak Spanish. What…

A: Let , F= french , S= Spanish  Given ,  Using the union property of probability we get  So, 7…

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

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

A:

Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

A: Probability: The formula for probability of an event E is as follows:

Q: In a hotel, suppose 70% of the rooms have showers and 30% have baths. 20% of the rooms with showers…

A: given data  event A : room have showerevent B : room have bathevent C  : painted blueP(A) = 0.70P(B)…

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

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

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 33% of…

A: Let A be the event of playing football B be the event of playing basketball Given data,…

Q: 53% of all Americans have at least some college education. Choose 7 Americans at random. What is the…

A: Given that 53% of all Americans have at least some college education. Hence probability that a…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of…

A: Solution: Let A be the event that the athletes are football players and B be the event that the…

Q: A local car dealership currently has 36 used GM, Ford and Toyota vehicles on the lot that are…

A: For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: Of 350 workers surveyed in an industrial community, 65 worked in the lumber yard and 30 work in the…

A: Total number of worker surveyed in community is 350. The number of worker for yard is 65. The number…

Q: A baseball player hit 60 home runs in a season. Of the 60 home runs, 16 went to right field, 22 went…

A: Step 1: GivenThe total number of home runs in a season, N=60.Out of these 60 home runs,16 went to…

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.