500 persons (male and female) were asked if they are in favor of against capital punishment. Of the 300 males, 125 are favor, whereas 145 females are against. If 3 persons are selected at random from these 500 persons, find the probability that all 3 persons are selected are 'in favor'

Q: On average, 4 computers from a lab are sent to laboratory for the repair. Find the probability that…

A: Computers from a lab are sent to laboratory for the repair = 4

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: In a sample of 1000 U.S adults, 199 think that most celebrities are good role models. Two U.S adults…

A:

Q: A poll is given showing 50% are in favor of a new building project. If 9 people are chosen at random…

A: Given data, p=0.50 n=9 P(X=3)=?

Q: A survey shows that about 65% of all respondents chose to have dogs over cats. Suppose that 15…

A:

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: P(girl) = p(boy) = 0.5

Q: A family was randomly chosen from a set of families having 5 children. What is the probability that…

A:

Q: A sample of 76 items manufactured by a machine contains 13 defective items and the rest are…

A: There are 76 items manufactured and out of them13 are defective. Hence, 76-13 = 63 are non…

Q: Three students from a 13 student class will be selected to attend a meeting. 9 of the students are…

A:

Q: In a family with 3 children, excluding multiple births, what is the probability of having exactly 2…

A:

Q: Subjects were randomly chosen for a clinical trial consisting of 87 women and 88 men. 17 of the…

A:

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: In question, Given that 38% of the teachers at a high school are male teachers. Then we'll find the…

Q: According to a survey 450 of the 800 students of a college are against a new committee. If 10…

A:

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

A:

Q: of the 20 lightbuls in a box, 2 are defective. an inspector will select 2 lightbulls simutanously…

A: From the given information we find the probability.

Q: Three students from a 21 student class will be selected to attend a meeting. 8 of the students are…

A: The number of female students is 8 and the total number of students is 21.

Q: Suppose you have 2 identical green socks, 4 identical red socks, and 14 identical purple socks. If…

A: Given,no.of green socks=2no.of red socks=4no.of purple socks=14Total no.of socks=20

Q: A class consists of 10 male and 30 female students. Of the 30 females, only 5 did not have pet. Six…

A: The probability of an event E  is defined as the ratio of favourable number of outcomes to the total…

Q: A team of 6 students from a pool of 10 students is being formed. Assume the students have different…

A: Formula : Binomial distribution is given by

Q: SUPPOSE THAT YOU JUST RECEIVED A SHIPMENT OF SIX TELEVISIONS AND TWO  ARE DEFECTIVE. . IF TWO…

A: Given: Number of defective= 2 Total =6

Q: Suppose a class has 30 students, 13 male and 17 female. What is the probability that if a teacher…

A: It is given that the class consists of 30 students of which 13 are male and 17 are female. Teacher…

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

A:

Q: Five items are selected from a box of 15 items and inspected. The box is rejected if more than two…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Three students from a 17 student class will be selected to attend a meeting. 10 of the students are…

A: Given Data: The number of females students is: N=10 The total number of student selected is: S=3 The…

Q: n urn contains 3 red balls, 4 green balls and 1 yellow balls. An experiment consists of picking 3…

A: Given: Number of red balls = 3 Number of green balls = 4 Number of yellow balls = 1 Total number of…

Q: If a classroom of 32 students has 7 males (5 of who are single and 2 who are married) and 25 females…

A: Given,no.of single males=5no.of married males=2no.of single females=7no.of married females=18total…

Q: There are 400 seniors in highschool, of which 180 are males. It is known that 85% of the males and…

A: Given,

Q: I have 1 gray female, 5 gray male, 2 white female, and 2 white male mice. A biologist chooses 2…

A: From the given information, there are 1 grey female, 5 grey male, 2 white female and 2 white male…

Q: In a class of 30 students, 6 wear glasses. If we chooses at random and with replacement a sample of…

A: In a class of 30 students, 6 wear glasses.A sample of 5 students is selected with replacement.

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.