Someone hands you a box of 27 chocolate-covered candies, telling you that 16 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 4 you eat are all vanilla. Consider a result to be surprising if there is less than a 5% chance of observing it given your expectations. What is the probability that you would have picked 4 vanillas in a row? If there really were16 vanilla and 11peanut butter candies in the box, (Round to three decimal places as needed.)

Q: A car rental company randomly assigns one of its 6060 cars to a customer. 3.Of the 6060 cars, 44 of…

A: Probability of a customer assigned a red car = ( Favourable outcome )/(Total outcome ) i.e.

Q: From experience, an airline knows that only 85% of the passengers booked for a certain flight…

A: Given Information :  From experience, an airline knows that only 85% of the passengers booked for a…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Let us denote X= number of plants that do not grow healthy n= number of trials= 10 probability of…

Q: How many people out of 12 people do you expect to be taller than 6ft.?     Now if you keep on…

A: Let X be the number of people over 6 ft with probability p= 10% =0.1  1): number of people selected…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: 40% of homeowners own AC. If 15 people are selected at random, what is the probability that at most…

A: We have given that the Binomial distribution with parameters p=40%= 0.40 and n=15.   The pmf of…

Q: If the firm stated that 30% would buy if contacted at home. What is the probability of the sales…

A:

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: rawer contains 20 writing utensils: 6 red pens, 3 black pens, 4 blue pens, and 7 pencils. Professor…

A:

Q: The probability of a product which is defective is 0.48. Out of 10 products, what is the probability…

A: We have to find given probability.

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: randomly pick 10 such

A: Let X be the random variable such that number of institutions offering online courses. N: Total…

Q: xperience has shown that 15% of Tshwane municipal rates bills contain an estimated amount for…

A: Given that p=0.15 and n=75

Q: About 7% of employed adults in the United States have multiple jobs. A random sample a 71 employed…

A: The sample size is 347, and population proportion is 0.07. Checking conditions:…

Q: A manufacturer ships toasters in cartons of 10. In each​ carton, they estimate a 30​% chance that…

A: Let X be the random variable from binomial distribution with probability (p)= 10% = 0.10 and sample…

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: A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the…

A: Givensample size(n)=64p=0.04Let "x" be the no.of defects in a batchx~Binomial(n=64 ,…

Q: , it has a 70% chance of growing into a healthy plant. If 11 seeds are planted, what is the…

A: Given: Probbaility (Grow)= 70% = 0.70 Probaility (Dont grow)  = 1-0.70 =0.30 n = 11

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 10 seeds are planted,…

A:

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

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: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 6 seeds are planted,…

A: From the provided information, If a seed is planted, it has a 75% chance of growing into a healthy…

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: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are…

A: Given Information: A manufacturing process has a 70% yield. 70% of the products are acceptable. 30%…

Q: More than 8383% of the very largest colleges and universities have some online offerings. Suppose…

A:

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: Suppose that 37% of people own dogs. If you pick two people at random, what is the probability that…

A: From the given information, it is clear that   The probability that people owns the dog=0.37.…

Q: Jack is going to guess at ten multiple-choice questions.  Assume that he has a 20% chance of…

A: Correctly guessing the question have probability equal to 0.2  Total number of questions 10 Let X is…

Q: A research study uses 600 men under the age of 55. Suppose that 25% carry a marker on the male…

A:

Q: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

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

A:

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given that if a seed is planted, the chance of growing into a healthy plant is 90%.

Q: Some electronic devices are better used than new: The failure rate is higher when they are new…

A: The probability that the machine has flaw is obtained below: From the information, 51.50% of the…

Q: A couple plans to have four children. The father notes that the sample space for the number of girls…

A: Given information- We have given that, a couple plans for 4 children. The sample space for the…

Q: Ms Loom is writing a quiz that contains a multiple-choice question with five possible answers.…

A: Guven that, Ms Loom is writing a quiz that contains a multiple-choice question with five possible…

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: One manufacturer claims that only 10% of its total production is defective. 28 items are randomly…

A: Let, X=the number of defectives n=number of trial=28  p=probability of success=10%=0.10   X follows…

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…

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.

Q: If you were to drop 1000 balls out of the chute on a 10 row, 11 compartment probability machine,…

A: In the given case we need to make some assumptions. First, we assume that each compartment of the…

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

A:

Q: If the firm stated that 40% would buy if contacted at home. What is the probability of the sales…

A: Given Information:  40% would buy if contacted at home i.e., p=0.40 Sample size (n) = 30 To find the…

Q: If Bart can make only 40% of free throws in a basketball game, what is the probability that he will…

A: Sample size = 3 Probability = 40% = 0.40