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: In a lucky draw for 100 participants, there are 55 children and 45 adults. 35 children are boys, 30…

A: Using the given information we make a table.   Children Adult Total Male 35 30 65 Female 20…

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: A random student will be selected from the College of Engineering. The number of male (B) and female…

A:

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: (b) Two dice are rolled by Kelly in a game. (1) List down the sample space. (ii) (iii) Find the…

A: The experiment is two dice rolled. The possible outcomes of the die rolled are as follows,…

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: 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: Five men are sitting around a round table. What is the probability of two particular men sitting…

A: here given ,  there are total 5 men seated around the table  Here use Total arrangement Concept

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 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: 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: Using Jack's simulation, what is the probability of rolling a 6 on the number cube and the coin…

A: Among the 100 rolls,he rolls 6, 27 times So the probability of getting 6 is = 27/100    Among the…

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…

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A:

Q: Of 520 male St. Mary's students, 54 plan to study math or science. Of 55 female St. Mary's students,…

A: Let Event A - Student is male,       Event B - Student is female.       Event E - Student selects…

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: You have a box of chocolates that contains 18 pieces of which: 9 are solid chocolate, 5 are filled…

A: Introduction: Since all the chocolates look exactly alike from outside, at a particular selection,…

Q: A survey was made of 100 customers in a department store. Sixty of the 100 indicated they visited…

A:

Q: Find the probability that in five tosses of a dice a 6 appears (a) at no time, (b) once, (c) twice,…

A:

Q: In a school, 27% of the students failed in mathematics, 16% failed in physics and 9% failed both…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A:

Q: Q2: Thirteen students in a class of 20 are females. Five students are to be randomly selected from…

A: Since the question has multiple sub parts we will solve the first part . Please resend the question…

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…

Q: fifty five percent of US households say they would feel secure if they had $50000 in savings. You…

A: Let us denote X=the number of US households who would feel secure if they had $50000 in savings…

Q: An urn contains seven red marbles and six green marbles. Four marbles are selected (all at once).…

A: Number of red marbles=7Number of green marbles =6Total number of marbles=7+6=13

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.