A math class consists of 30 students, 16 female and 14 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females?    (b) What is the probability that a female is selected, then two males?    (c) What is the probability that two females are selected, then one male?

Q: A card is selected at random from a standard 52-card deck. (a) What is the probability that it is an…

A:

Q: In a high school speech and debate club there 4 sophomore boys, 6 sophomore girls,3 junior boys, 5…

A: From the provided information, The table can be constructed as:   Sophomore Junior Senior…

Q: At a certain school, 25% of the students wear a watch and 30% wear a bracelet. 60% of the students…

A: Solution-: We have P( the students wear a watch)=0.25 P(the students  wear a bracelet)=0.30 P( the…

Q: Membership selection. A town council has 13 members, 8 Democrats and 5 Republicans.   ​(A) If…

A: Combination: Number of combinations of n distinct objects taken r at a time is given by the formula…

Q: Roulette: In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, 3, 4, 36. The…

A: Given that - Roulette: In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,…

Q: If you pick one card at random from a standard deck of cards, what is the probability it will be a…

A: There are 52 cards in a standard deck of cards  There are 26 black cards and 2 cards of two, which…

Q: A car dealership has 6 red, 10 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A:

Q: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.  (a) What is the…

A: 10 people at a concert are seated in row 2 and randomly assigned numbers 1-10.

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Fourteen jurors are randomly selected from a population of 4 million residents. Of these 4 million…

A: Given: Number of jurors (n) = 14 Probability of minority (p) = 0.42 Let X be binomial distribution…

Q: It just asks: (a) Find the probability of being dealt a "tens over jacks" full house (three tens…

A: (b) The number of different types of full houses: Therefore, there are 3744 different ways to make…

Q: A ball is drawn randomly from a jar that contains 6 red balls, 8 white balls, and 5 yellow ball.…

A: Given red balls=6 White balls=8 Yellow balls=5

Q: Stay in school: In a recent school year in the state of Washington, there were 321,000 high school…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: A car dealership has 7 red, 9 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: given data,7-red9- silver5- black 21- total ten cars are randomly selected we have to find out the…

Q: Stay in school: In a recent school year in the state of Washington, there were 319,000 high school…

A: Data given Total =319000 Female=157000  Male=162000  Female(Drop out)=9600  Male(Drop out)=10100…

Q: A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the…

A: A standard deck of playing cards consists of 52 cards in each of the 4 suits of Spades, Hearts,…

Q: A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the…

A:

Q: A ball is drawn randomly from a jar that contains 3 red balls, 9 white balls, and 6 yellow ball.…

A:

Q: A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the…

A: Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: 322 chickens on a farm lay brown eggs and 326 chickens on the farm lay white eggs. If a chicken is…

A: The total number of outcomes is 322+326 =648. The number of favourable outcomes is 326.

Q: In a class of fifteen boys and ten girls, students are randomly chosen to give their speeches. What…

A: First of all we will list the total number of boys and total number of girls. Now we will use the…

Q: Two dice are rolled.  (a) write out a sample space (b) find the probability of getting a sum of 6 or…

A: Given that ; Two dice are rolled.  A dice contains 6 digits i.e. { 1,2,3,4,5,6} Here we use basic…

Q: Black or white? Your friend chooses his sartorial color scheme by putting all of his black and white…

A: Your friend chooses his sartorial color scheme by putting all of his black and white T-shirts in a…

Q: 1. The experimental probability that a customer at a restaurant qualified for a senior discount was…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: standard deck of cards contains 52 cards. One card is selected from the deck.

A: Given that  A standard deck contains 52 cards. Total number of events (n) = 52 Number of sixes in a…

Q: The sex ratio of newborn human infants is about 105 males to 100 females. If four infants are chosen…

A: We have given that Newborn infants is males = 105 Newborn infants is females = 100 Total number of…

Q: In a recent school year in the state of Washington, there were 312,000 high school students. Of…

A:

Q: You have a box of chocolates that contains 14 pieces of which: 5 are solid chocolate, 4 are filled…

A: Given Information a box of chocolates that contains 14 pieces of which:5 are solid chocolate,4 are…

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.