In a club with 8 male and 12 female members, a 8-member committee will be randomly chosen. Find the probability that the committee contains 4 men and 4 women. The probability that it will consist of 4 men and 4 women is. (Round to four decimal places as needed.)

Q: At TCNJ, 35% of the engineering majors belong to ethnic minorities. If 6 students are selected at…

A: Given,n=6p=0.35X=no.of students belong to ethnic minorityX~Binomial (n=6 , p=0.35)P(X=x)=nx pxqn-x…

Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

A: Given  A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

Q: In a large population, 53% of the people have been vaccinated. If 5 people are randomly selected,…

A: The situation where at least one out of 5 is vaccinated includes all but one possibility, that which…

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: If one student is chosen at random, Find the probability that the student was female AND got a "C".

A: Consider the given table. The number of females = 40 The number of females who received C = 9 Total…

Q: one student is chosen at random, nd the probability that the student was female OR got an "A".

A: The number of females is 24, the number of students got an A is 29 and the total number of students…

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Solution: Let X be the number of children are girls and n be the sample number of children. From the…

Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

A:

Q: In a class of 6 girls and 5 boys, what is the probability of having girls and boys seated…

A: The provided information is  6 Girls 5 Boys  The arrangement is Girls on first seat and girls on the…

Q: If one student is chosen at random, Find the probability that the student was NOT a male that got a…

A: P(C) = 20/77 P( C and Female) = 13/77

Q: If one student is chosen at random, Find the probability that the student was male AND got a "C".

A: The given table shows the grades and gender of the group of students.

Q: Suppose we roll 10d6 and observe that the number 6 appears three times. What is the probability…

A: The arrangements of 3 six's among 10 results of dice will form the sample space of the random…

Q: Find the probability that the student was male AND got a "A".

A:

Q: An urn contains 5 red balls and 9 yellow balls. If Vince chooses 6 balls at random from the urn,…

A: It is given that Number of red balls = 5 Number of yellow balls = 9 Total = 14 Sample size = 6 The…

Q: If a resident is selected at random, find the probability that the resident is a Democrat or Male.

A: Given :   D R I total Male 50 40 30 120 Female 60 30 25 115 Total 110 70 55 235

Q: A bag contains 5 hot pink marbles, 4 cobalt marbles, 6 periwinkle marbles, and 9 magenta marbles. If…

A: H = Number of hot pink marbles = 5 C = Number of cobalt marbles = 4 P = Number of periwinkle marbles…

Q: Calculate the probability of 3 heads in 5 tosses of a coin, where r is the number of heads…

A:

Q: In a five card poker hand, what is the probability of being dealt exactly one seven and no picture…

A: Here given five card poker hand dealt from standard deck of 52 cards  Here total picture cards = 12…

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: If one student is chosen at random from those who took the test, Find the probability that the…

A: Let use define some events A : a student was female. B : a student got a B. Number of students with…

Q: Find the probability of getting three 3’s and then a 4 or a 5 in four rolls of a balanced die

A: A balanced die means having the same chance of getting each value on the face.

Q: A shipment contains 12 igneous, 10 sedimentary, and 10 metamprphice rocks. If 7 rocks are selected…

A: Total number of rocks= 12+10+10=32 Out of 32, 7 rocks can be selected at random in C732 ways. For…

Q: A bag of marbles has 10 green, 2 yellow, 3 black, 5 blue marbles. What is the probability of taking…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A:

Q: A financial services committee had 6060 ​members, of which 1010 were women. If 99 members are…

A: Solution: a. From the given information, a financial committee had 60 members. Among them 10 are…

Q: In a large population, 65% of the people have been vaccinated. If 4 people are randomly selected,…

A: Given: Sample size (n) = 4 Probability of success (p) = 0.65 Formula: Let "X" be the large…

Q: The Wilson family had 7 children assuming that the probability of a child being a girl is 0.5, find…

A: Let "X" be the girl child in Wilson family

Q: The probability that he picks 6 strawberry flavoured one is

A: Given,  One fifth of the candidature is strawberry flavor. Tome picks 10 candies.

Q: In a large population, 59 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given Data Probability of success,p = 0.59 Probability of failure,q=(1- 0.59 )= 0.41…

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

A:

Q: In a large population, 56 % of the people have been vaccinated. If 3 people are randomly selected,…

A: P(vaccinated) =p = 0.56 P(not vaccinated) = 1-0.56 = 0.44

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: If one student is chosen at random, find the probability that the student was male AND got a "C". Ro

A: It is given that Number of males with C = 3 Total = 56

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: If one student is chosen at random, Find the probability that the student was female OR got an "B".

A: Let us first consider that each one is out of 100 marks.  The student got 99% on tests, 54% on labs,…

Q: The probability that a house in an urban area will develop a leak is 6​%. If 13 houses are…

A: Given : The probability that a house in an urban area will develop a leak is 6​%. 13 houses are…

Q: If one student is chosen at random, Find the probability that the student was male GIVEN they got a…

A: Conditional probability is known as the probability of an event occurring given that the other event…

Q: In a small private school, 4 students are randomly selected from 14 available students. What is the…

A:

Q: At a high school with 200 students, 32 play soccer, 18 play basketball. 8 students in this group…

A: Solution: From the given information, 32 play soccer, 18 play basketball and 8 play both sports.…

Q: Find the probability that a person selected has blond hair if it is known that the person has green…

A: HERE USE ,  given table and Baye's rule  here total persons in given table is 500

Q: Find the probability that the position of assistant professor is filled by a male applicant.

A: here given , The resumes of two male applicants for a college teaching position in Engineering Data…

Q: The probability that a house in an urban area will develop a leak is 55​%. If 22 houses are…

A: Let "X" be the houses that will develop a​ leak.

Q: From a group of 4 men and 5 women, a committee of size 3 is to be selected. Find the probability…

A:

Q: d) A telemarketer will give an average of 4 calls in an hour. Find the probability that he will give…

A: Given that  1 hour  = 60 minutes  1.5 hours = 90 minutes Average calls in an hour=4 Average calls in…

Q: If a New Yorker is selected at random, find the probability that. (b) the New Yorker is either…

A: Given that,   Mediterranean Asian Latin Total Female   18 16 47 Male 14       Total     31…

Q: The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find…

A: The provided information are: Number of children = 9 Probability of a child being girl (p) = 0.5…

Q: is randomly selected, find the probability that the person oker given the person is a woman.

A:

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

A:

Q: Find the probability that in a family of 5 children, there will be at most 2 girls. Assume that the…

A: Solution: Let X be the number of girls and n be the sample number of children. From the given…

Q: Find the probability of getting 6 and 5 respectively in two throws of a die.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.