A sample of 300 students is taken. Of the students surveyed, 50 were music students, while 250 were not. Ninetyseven of the 300 surveyed were on the honor roll, while 203 were not. If we assume being a music student and being on the honor roll are independent events, what is the expected number of music students who are also on the honor roll?

Q: 90% of the voters favor Ms. Stein. If 400 voters are chosen at random, what is the expected number…

A: Let X be the number of voters who indicate favoring Ms. Stein. Suppose 90% of the voters favor Ms.…

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: w many outcomes are there in the sample space? no ma

A: Sample space in statistics is defined as the set of all possible outcomes in any random experiment.…

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: A person gets to draw one card at random from a jar with four cards for a cash price . The card…

A: Given No. of randomly selected draw card=1 Total cards in jar=4 Card values =1, 2, 4, and 5

Q: In a small private​ school, 6 students are randomly selected from 17 available students. What is…

A: Given: Number of selected students = 6 Total number of available students = 17 Formula Used: The…

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: Consider a political discussion group consisting of 7 Democrats, 5 Republicans, and 2 Independents.…

A: The objective of this question is to find the probability of selecting 3 Democrats and 1 Republican…

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: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

A: Consider a political discussion group consisting of 5 Democrats,10 republicans, and 3 independents.…

Q: In Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey…

A: Given that  N=300000 , X=30000 , n=900 p=X/N=30000/300000=0.10

Q: An undergraduate class has 24 biology majors and 17 chemistry majors. Eight students must be chosen…

A: The probability mass function for binomial distribution is: P(X=x) = nCxpx(1-p)n-x According to the…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: A jury pool consists of 31 people, 15 men and 16 women. Compute the probability that a randomly…

A:

Q: There are 13 Women and 10 men. Five are chosen at random to attend a class. What is the probability…

A: Given that  There are 13 Women and 10 men. 10 men +13( women)=23  5 chose

Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: Pablo randomly picks three marbles from a bag of eight marbles (four red ones, three green ones, and…

A: note: C(a,b)=a!b!(a-b)!     (a>b). we will be using combination as Pablo chooses 3 marbles out of…

Q: Pablo randomly picks four marbles from a bag of nine marbles (five red ones, three green ones, and…

A: Given,no.of red marbles =5no.of green marbles=3no.of yellow marbles=1total n.of marbles =9

Q: Out of all the cities in New York State, about 64.5% of them were founded before the year 1900 and…

A: According to the data, 64.5% of all cities in the newyork state were founded after 1900. 48.4% have…

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: Twelve adults were surveyed and asked how many children they had. The results are:…

A: Twelve adults were surveyed . The results are:  1,3,0,2,2,0,1,1,3,2,0   Number of adults with  at…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a small private​ school, 4 students are randomly selected from 18 available students. What is the…

A: Solution: Given information: n= 18 available students  4 students are randomly selected.

Q: Students who have qualified for a scholarship include students from Fayetteville High​ School, from…

A:

Q: A jury pool consists of 25 people, 12 men and 13 women. Compute the probability that a randomly…

A: A jury pool consists of 25 people Number of men = 12 Number of women = 13

Q: A jury pool consists of 29 people, 12 men and 17 women. Compute the probability that a randomly…

A: It is given that a jury pool consists of 29 people in which 12 are men and 17 are women.

Q: According to the historical data, the life expectancy in Argentina is equal to the life expectancy…

A:

Q: Professor Ramos will participate in a lottery that will be played by five hundred participants. He…

A: Total number of participants = 500 (This implies 500 lottery tickets are there) Professor Ramos buys…