Assume that there are 15 cars: 10 Chevrolets, 4 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions. (1) What is the probability that the Toyota leaves first? (2) What is the probability that the two cars which leave are Chevrolets? (3) What is the probability that the Toyota is the second car to leave? (4) What is the probability that the Toyota is the second car to leave given that one of the two cars is the Toyota? (5) What is the probability that a Ford is the last to leave given that the Toyota leaves first?

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

Q: A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron,…

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

Q: Lidia keeps eight cards with the picture of a tomato and four cards with the picture of a carrot on…

A: There are 8 cards with tomato and 4 cards with a carrot. So there are total (8+4)=12 cards.

Q: Assume that there are 13 board members: 7 females, and 6 males including Simeoni. There are 5 tasks…

A: 1) Given that there are 13 board members in which 7 females and 6 males including Simeoni. There are…

Q: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

A: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

Q: In a certain college 25% of boys and 10% of girls are studying Mathematics. The girls constitute 60%…

A: For the given data

Q: A bag contains 8 red blocks, 10 purple blocks and 12 blue ones. You select blocks at random from the…

A: Probability = Favourable outcomeTotal outcome, there are a total of 30 blocks.  Out of which each…

Q: A bag contains jelly beans of various colors. In the bag, 26% of the jelly beans are red, 20% are…

A: GivenThe proportion of red jelly beans =0.26The proportion of black jelly beans =0.20The proportion…

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: One of two archers – Jeff or Tom – is chosen at random (with equal probability) to shoot at a…

A:

Q: If the probability That a randomly selected murder resulted from a rifle or shotgun is 0.061 then if…

A: From the provided information,The probability that a randomly selected murder resulted from a rifle…

Q: Suppose 20% of the students in UCR commute to school every day. Among those who commute, 40% of them…

A: The objective of this question is to find the probability that a randomly selected student from UCR…

Q: Suppose 2% of cotton fabric rolls and 3% of nylon fabric rolls contain flaws. Of the rolls used by a…

A: From the given information Let C be the event that selected roll is cotton fabric and Let N the…

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

A:

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

A:

Q: 75% of the students are commuters, 45% are female, and 30% are female commuters. If selected at…

A: Consider the following events, C=selected student is a commuterF=selected student is a female Given…

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 farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…

A: Given information: According to the given information, the total number of board members is n(S) =…

Q: This problem involves inspection at a widget factory. Assume that a box contains 2 defective widgets…

A: Answer:- Given that a box contains 2 defective widgets and 15 acceptable widgets.  So, Probability…

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: Imagine you are betting on a horse race. Say you bet on horse #3 to win first place and horse #12 to…

A: Given that there are 20 horses.  The first horse can be selected in 20 ways and the second horse can…

Q: 1. A family has 3 children: boys and girls are equally likely offspring. What is the probability of…

A: Given : A family has 3 children : Let, B = boy G =Girl The total possible outcomes is :…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 green balls, 9 orange…

A:

Q: shows that 95% of submachine gun buyers purchase a box of bullets. What is the probability that a…

A: Here Given P(P)=Probability Personnel buy Pistol=0.85 P(G)=Probability that Personnel  buy  Gun=0.15…

Q: At a class, 80% are female and 30% of the students like to swim. Of the students that like to swim,…

A:

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: Assume that the box contains 9 balls: 3 red, 1 blue, and 5 yellow. As in the text, you draw one…

A:

Q: Consider a family with 5 children. Assume the probability that one child is a boy is 0.5 and the…

A: Given information- We have given that a family with 5 children. We have given that the events "boy"…

Q: A law firm has six senior and four junior partners. A committee of three partners is selected at…

A:

Q: Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6…

A: No. of urnsIn the first urn,White ballsBlack ballsIn the second urn,White ballsBlack balls ball is…

Q: A poker player holds a flush when all five cards in the hand belong to the same suit (clubs,…

A: For the standard deck of cards, it is given that: SuitNo. of cardsSpade13Heart13Diamond13Club13…

Q: A classroom contains 10 girls and 8 boys. You need to randomly select some of the students for…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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.