In a math class, there are only 10 freshmen, 11 sophomores, and 3 juniors. Five students are randomly selected from the class. (show your work.)   Find the probability that exactly 3 are sophomores

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: Find the probability that when a couple has six children, at least one of them is a girl. (Assume…

A: Given data,Couple has 6 childrenn=6The probability of getting a boy is 0.5 and getting a girl is…

Q: Determine if each event is independent or dependent.  Then find the probability.   A green die and…

A: roll a green die and a red die .  each die has outcome  1 to 6.  P(4 on green die and 5 on red die)…

Q: A coin tossed three times. Find the probability of getting Two heads and one tail show the working..

A: Given data: A coin tossed three times. To Find: The probability of getting Two heads and one tail.

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

A:

Q: A far die is thrown Loice. And the probability that the result of the first throw 16 greater than…

A: The given probability can be calculated using the formula,  Probability = (Favourable outcome /Total…

Q: Suppose 4 coins are tossed. Find the probability of tossing no heads. (Round to - decimal places.)

A: Given 4 coins are tossed. We have to find the probability of tossing no heads.

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

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: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 each freshmen and sophomores, 15 juniors, and 18 seniorsTotal=71

Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: If a family has three children, find the probability that exactly one of the three children is a…

A:

Q: In a class of 15 students there are 5 boys and 10 girls If a committee of 6 students is selected at…

A: 5 - boys 10 - girls ____________ 15 - students in class select committee of 6 students. p( 3 boys…

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: The mathematics faculty at a college consists of 11 professors,12 associate professors, 9 assistant,…

A: The mathematics faculty at a college consists of: 11 professors 12 associate professors 9 assistant…

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: The team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors.

Q: What is the probability that a couple that has 5 children will have: 4 boys and 1 girl? 5 girls? 3…

A:

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: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: Given,Number of freshmen player, n(freshmen)= 13Number of sophomores player, n(sophomores) =…

Q: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of…

A: Let us denote R=Red, W=white, B=blue   There are 3 bowls So, P(X)=13, P(Y)=13, P(Z)=13P(B or…

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: There is a lottery drawing every Wednesday from the school store. You have to choose 5 numbers from…

A:

Q: A bag of skittles contain 18 yellow , 12 green,  20 red , 10 orange and 14 purple skittles. Find the…

A:

Q: Determine if each event is independent or dependent.  Then find the probability. There are two…

A: The probability of the one traffic light is red is 0.50.

Q: Greg wrote the numbers 1 through 9 on pieces of paper and placed them in a hat. He will randomly…

A: Given as

Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

A:

Q: 9. There are 9 grade eleven students and 15 grade twelve students in a gym class. Six students are…

A:

Q: There are 100 balls in a container. 30 of them are red, 50 blue, and 20 green.  We randomly select a…

A:

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.