In a color preference experiment, eight toys are placed in a container. The toys are identical except for color-two are red, and six are green. A child is asked to choose two toys at random. What is the probability that the child chooses the two red toys?

Q: Forty percent of Clinton County residents are uncomfortable using the Internet. Suppose 7 such…

A: Given that n =7 , p= 0.40 Find P ( X =5 ) = ?

Q: Consider the experiment of drawing a card at random from a shuffled deck of 52 cards. What is the…

A: Let B be an event of  drawing a black card, thenPB =no. of black cardstotal no. of cards=2652=0.5

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: In a horse​ race, a particular bet is won if you selected the three  horses that finish first,…

A: Solution: Given information: n= 15 total horses  3 horses are selected for a race.  Horses that…

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: You decided to buy a white Honda. One out of five Honda cars at the dealerships is white. If you…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: In a factory, 40% of the machines are defective. If a sample of 10 machines is selected randomly,…

A: Calculate the number of possible combinations of 4 defective machines out of 10: (10 choose 4) =…

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: survey was done in regards to what type of animals are preferred as pets. Each respondent selected…

A: From the given information we find the probability.

Q: What is the probability that the set selected contains the letter A and does not contain the letter…

A: Here An experiment consists of randomly selecting a set of 5 letters from the 26 letters in the…

Q: In a recent study, 29% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A:

Q: Of the employees at a store, 15% are nightshift workers, 50% are cashiers, and the rest are…

A: Given , P(Nightshift) = 0.15 P(Cashiers)=0.5 P(Stockers) = 1-(0.15+0.5) = 0.35 P(Male | Nightshift)…

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: 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: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What…

A: There are a standard deck of 52 cards and we have to find probability of choosing an ace, a spade,…

Q: Six percent of American adults are considered millionaires. If 100 randomly selected adults are…

A: Here it is given that 6% of American adults are millionaire. We need to find the probability of 7 or…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: The objective of this question is to find the probability of selecting a six and then selecting a…

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

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

Q: In a recent study, 65% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: Given,n=11p=0.65Let X =no.of people name their favorite flavor of ice cream.X~Binomial(n=11 ,…

Q: A flower shop supplier has a supply of bouquets of which 10% are all white. A flower shop orders 18…

A: Given data A flower shop supplier has a supply of bouquets of which 10% are all white. A flower shop…

Q: On a grocery store shelf, there are 16 loaves of white bread and 15 loaves of wheat bread. A shopper…

A: The objective of this question is to find the probability that a shopper randomly selects a loaf of…

Q: In a study of 44 patients at a rural hospital, there were 9 females in the ICU, 6 females in the…

A:

Q: A farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A: