According to a national survey of college students, the average length of an admissions essay is 624 words with a standard deviation of 40 words. The freshman at a particular school are randomly assigned into groups of 30 for required writing seminars. a) What is the probability that a randomly chosen freshman has an admissions essay longer than 650 words? b) What is the probability that one of the writing seminars has an average admissions essay shorter than 600 words?

Q: investigating how much time his classmates spend on social media per day, Ruben found that for  the…

A:

Q: According to the Experian Automotive, 35% of all car-owning households have three or more cars. In a…

A:

Q: A soft drink machine is regulated so that it discharges an average of 200 ml per cup. If the amount…

A: given information is  Let X represent the amount of drink distributed. μ =200 σ=15 a) P ( X > 224…

Q: There are 250 dogs at a dog show that weigh an average of 12 pounds, with a deviation of 8 pounds.…

A:

Q: According to the Internal Revenue Service, the average length of time for an individual to complete…

A: Given,sample size(n)=36mean(μ)=10.53standard deviation(σ)=2

Q: There are 350 dogs at a dog show, who weigh an average of 15 pounds with a standard deviation of 7…

A: Given,sample size(n)=40mean(μ)=15standard deviation(σ)=7

Q: The number of crackers in a box of Crackerbox Crackers is normally distributed with a mean of 75 and…

A: The provided information is  µ=75 σ=2 P(X>76) P(X>76)=P(X-µσ>76-752)=P(z>0.5)=0.3085The…

Q: Assume that 28% of randomly selected adults have high cholesterol (with a level of at least…

A: From the given information, Sample size(n) = 5 Probability of success (P) = 0.28 Consider, x be a…

Q: Suppose that a 1-gallon can of paint covers 513.3 square feet on average with a standard deviation…

A: From the provided information, Mean (µ) = 513.3 square feet Standard deviation (σ) = 31.5 square…

Q: The average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but…

A: From the provided information, Mean (µ) = 245.7 Standard deviation (σ) = 34.5

Q: According to the National Association of Colleges and Employers, the 2015 average starting salary…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: Suppose that the average outstanding credit card balance for young professionals is php 11,200 with…

A: Given that the average outstanding credit card balance for young professionals is php 11,200 with…

Q: Suppose​ 18% of​ movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

Q: According to the Department of Education, college students spend an average of 270 minutes per day…

A: The probability that students spent less than 230 minutes on their phone that day is obtained below:…

Q: According to the National Association of Colleges and Employers, the 2015 average starting salary…

A: Let Y denote the new college graduate in business will earn a starting salary Let X denote the new…

Q: The average amount of a beverage in randomly selected 16-ounce beverage can is 16.1 ounces with a…

A: Sampling Distribution of a Normal Variable :  Given a random variable X. Suppose that the population…

Q: The average age of all employees is 25 years, and the standard deviation of the ages of all…

A: Given,sample size(n)=100mean(μ)=25standard deviation(σ)=3

Q: In the university libtaty elevator there is a sign indicating a 16 person limit as well as a weight…

A: Let X be the random variable from normal distribution with mean weight (μ) = 150 pounds, standard…

Q: According to the National Association of Colleges and Employers, the 2015 average starting salary…

A:

Q: 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that…

A: Given :  The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a…

Q: At a large university, the mean amount spent by students for cell phone service is $38.90 per month…

A:

Q: Among the students of AUCA, 80% are involved in different projects. Find the mean and the standard…

A:

Q: A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…

A: From the provided information, Sample size (n) = 11 75% of adults need correction for their eyesight…

Q: The mean time taken to learn the basics of a word processor by a group of students is 200 minutes…

A: Let, X= time taken to learn the basics of a word processor  Given that X follows a normal…

Q: A moving target at a police academy target range can be hit 78% of the time by a particular…

A: Here “n” is not provided. So it is assumed that n = 8. According to the provided information…

Q: Researchers found that boys playing high school football recorded an average of 355 hits to the head…

A: Given Mean=355 Standard deviations=80

Q: Suppose that the average outstanding credit card balance for young professionals is Php11,200 with…

A: Given : Mean = μ = 11200 Standard deviation = σ = 2600 Sample size = n = 150

Q: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.12. Assume…

A: Draw the normal curve and shade the area to the right of z=-0.1. Since the total area under the…

Q: The mean number of hours that American women who worked outside of the home per week was 34.6 hours…

A: The mean is 34.6 and standard deviation is 13.6. The sample size is 42. The probability their mean…

Q: The average public Senior High School in Region IV-A has 408 students with a standard deviation of…

A: Given Pop mean, μ=408Pop sd, σ=87

Q: re than 52 hours? the sample average is less than 47

A: The mean of the number of hours of TV viewing per household per week in the Philippines is, μ= 50.4…

Q: Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5…

A: The average weight of an NFL player is 245.7 pounds with a standard deviation 34.5 pound. That is,

Q: Among the students of AUCA, 30% know two foreign languages. Find the mean and the standard deviation…

A:

Q: The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive,…

A: Given that mu =26 ,sigma =4,n =115 p( x bar > 27 ) =?

Q: The average daily jail population in the New Bilibid prison in Muntinlupa City is 36,295. If the…

A: Given information Population means µ = 36295 Standard deviation σ = 3760 We have to find the…

Q: In a survey of college graduates, 61% reported that they entered a profession closely related to…

A: It is given that n=8 and p=0.61.

Q: 2. According to the International Graduation Association, on average, high school girls in Canada…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING

Q: An industrial designer wants to determine the average amount of time an adult spends building an…

A: Given information: Confidence level = 95% Significance level α=0.05 The given data is as follows:…

Q: ureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of…

A: a. Given: n=1250,p=0.82 The mean is computed as: The variance is computed as: The standard…

Q: There are 225 dogs that participated at the National Dog Show that weigh an average of 5 kilos, with…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 5, standard…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A: We have to find out given probabiity..

Q: The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of…

A:

Q: Suppose that it is known that 10 percent of a certain population is color blind. If a random sample…

A:

Q: 2. The probability that a package is delivered on time is 0.97. If 500 randomly selected packages…

A: Givenprobability that package delivered on time (p)=0.97sample size(n)=500

Q: There are 250 dogs at a dog show that weigh an average of 12 pounds, witha standard deviation of 8…

A: Note: As per bartleby guidelines for more than one question asked, only one question is to be…

Q: A soft drink vending machine is set to dispense an average of 200 milliliters per cup. If the amount…

A: a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The height of women in the United States is normally distributed with a mean of 165 cm and standard…

A: The normal distribution has curve with bell shape and it is symmetric about the mean. The normal…

Q: The average length of a rapier, which is a fencing sword, is 92 cm with a standard deviation of 5.9…

A: Solution-: Given: μ=92cm,σ=5.9cm,n=58 We find, P[average length of a rapier is less than 90 cm]=?

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.