Find the probability of randomly selecting 3 students from Utah out of a group of 12 students, 5 of whom are from Utah.

Q: Find the probability that the number obtained is not greater than 4.

A: A fair die is rolled so sample space is (1, 2, 3, 4, 5, 6).

Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: In a small private​ school, 4 students are randomly selected from 11 available students. What is the…

A: Given that, N=11 R=4 Number of youngest students among the available students = 4

Q: Lisa has 8 pieces of black socks and 4 pieces of pink socks in her bedroom drawer. If she randomly…

A:

Q: Suppose that four people are to be randomly selected from a group of 8 women and 5 men. What is the…

A: Given,Four people are to be randomly selected from a group of 8 women and 5 men.

Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A:

Q: Find the probability distribution for the number of Modern CD when 4 CDs are selected at random from…

A:

Q: In one town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, Probability, p = 28% = 0.28 Sample size = 2

Q: A bag contains 8 green balls, 6 black balls and 7 red balls. Find the probability of selecting

A: It is given that, A bag contains 8 green, 6 black and 7 red balls. i.e. number of black balls= 6 the…

Q: A homeowner plants 6 bulbs selected at random from a box containing 5 tulip bulbs  and 4 daffodil…

A: The probability is calculated by dividing the number of observation can involve in the sample…

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: The percentage of couples where both parties are in the labor force is 62%. If 10 couples are…

A: Let X be the number of the couples are working. Then, X follows binomial distribution with…

Q: Determine the probability of having 2 girls and 2 boys in a4-child family.

A: we have to determine the probability of having 2 girls and 2 boys in a 4 child family.

Q: A homeowner plants 6 bulbs selected at random from a box containing 4 tulip bulbs and 4 daffodil…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: Determine the probability of having 3 boys in a 3-childfamily

A: Make a table to show the possible cases of a 3-child family.

Q: four people are selected for a committee from 6 Democrats and 4 Republicans. What is the probability…

A: Total number of democrats are 6. Total number of republicans are 4. Total number of people selected…

Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…

A:

Q: In a box there are 12 male and 6 female piglets. If 6 piglets are chosen at random, what is the…

A:

Q: In one town, 44% of all voters are Democrats. If two voters are randomly selected for a survey, find…

A: Given that, 44% of all voters are Democrats.  Sample size, n = 2

Q: Thirteen percent of adults are left-handed. In a group of 30 adults, find the probability of finding…

A: Given, The probability that the adults are left handed is p=0.13 (13%) n=30 Let X be the random…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

Q: four people are selected for a committee from 4 Democrats and 3 Republicans. What is the probability…

A:

Q: Find the probability of obtaining 3 kings in 5 draws from a pack of cards.

A:

Q: Find the probability of choosing a committee of 3 men and 2 women from a group of 8 men and 6 women?…

A: There are total (8+6) = 14 persons  We have to pick total (3+2)=5 persons from 14 persons Since it…

Q: Suppose that a department contains 8 men and 12 women. A committee with six members is to be formed,…

A:

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: At a high school with 200 students, 32 play football, 18 play basketball, 8 play both sports. If a…

A:

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: Find the probability of getting three or more cars that fail among six cars tested

A: Solution: To find: The probability of getting three or more cars that fail among six cars tested.?

Q: Find the probability distribution for the number of Modern CD when 4 CDs are selected at random from…

A: Probability distribution: A probability distribution is a statistical function that describes all…

Q: in a box of pens and pencils, the probability of randomly choosing a sharpened pencil is 0.54 and…

A:

Q: getting 50 heads when flipping a fair coin 100 times

A: This problem is to find the probability distribution we can use the binomial distribution,  Normally…

Q: A city council consits of five Democrats and five Republicans. If a committee of six people is…

A: Basics:

Q: If four blue marbles and eight non-blue marbles make a probability of 0.33, how many non-blue…

A: Let n be the total number of marbles .Pfour  blue marbles and 8 non-blue marbles=0.33⇒…

Q: The composition of the Senate of the 111th Congress was: 41 Republicans, 2 Independents, and 57…

A: There are 41 Republicans, 2 Independents, and 57 Democrats.  Total number of senators is 41+2+57…

Q: Find the probability of getting two queens when two cards are drawn from a pack of 52

A: Given: Number of cards in a deck=52Number of queens drawn=2Number of queens present in a deck=4

Q: What is the probability of randomly selecting all seniors to form a committee of two from a pool of…

A: We have to find the probability of randomly selecting all seniors to form a committee of two from a…

Q: Out of 39 men and 26 women what's the probability of randomly choosing a woman?

A:

Q: Find the probability that a randomly selected group of four children will contain exactly three…

A: Given that  Success of probability p =1/2=0.5 Number of trials n=4 X~binomial ( n ,p)

Q: Find the probability of drawing two Kings from a pack of cards in two successive draws, the card…

A: no.of king cards=4Total no.of cards=52

Q: A judging panel of 7 people is to be randomly selected from 8 teachers and 10 students. What is the…

A:

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

A: Solution: From the given information, a standard deck of 52 cards contain 4 jack cards and four…

Q: Out of 320 families with 5 children each, what percentage would be expected to have () 2 boys and 3…

A: Here Given  Total Number of family=N=320 Now Probability of Boys=Probability of girl=0.5 Number of…

Q: In a small private​ school, 3 students are randomly selected from 18 available students. What is the…

A: Given information 3 Students are selected from 18 students

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50

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.