The random variable x represents the number of credit cards that adults have along with corresponding probabilities. Find the mean and standard deviation. x| P(x) 00.07 1 0.68 2 0.21 3 0.03 4 0.01

Q: 2. During my office hours (from 12pm to 6pm), an average of about 2 student per hour comes in for…

A: During my office hours (from 12 pm to 6 pm), an average of about 2 students per hour come in for…

Q: You are playing a card came, and the probability that you will win a game is p = 0.72. If you play…

A: p = 0.72n = 1003

Q: Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are…

A: GivenMean(μ)=12837standard deviation(σ)=1500

Q: The monthly returns on a stock follow a normal distribution with a mean return of 2% and a standard…

A: From the provided information,

Q: Suppose that the heights of men in the United States are normally distributed with a mean of 65.6…

A: The mean is 65.6 and the standard deviation is 2.7.

Q: Most colleges here in the Philippines requires applicants for admission to take the College…

A: Consider X : scores on CAT X~Nμ=527,σ=112

Q: The monthly rents for studio have a apartments in Abu Dhabi mean of AED 3400 and a standard…

A: GivenMean(μ)=3400standard deviation(σ)=400sample size(n)=25

Q: The number of sales varies by day from 0 to 5 and is given by the following probability…

A:

Q: 10. A study has shown 38% of adults have purchased a product online. A random sample of 250 adults…

A:

Q: Question-1) The serum cholesterol levels of a certain population of boys have a mean of 170 mg/dl…

A: Mean()=170standard deviation()=30

Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…

A:

Q: The average student loan debt for college graduates is $25,000. Suppose that that distribution is…

A:

Q: Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the…

A: Solution: It is given that, Population mean, 70 Standard deviation, 5 Given that Cody took his first…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

Q: The population mean annual salary for an electrician is $46,700.A random sample of 42 electricians…

A:

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: 78​% of U.S. adults think that political correctness is a problem in America today. You randomly…

A: Given ,n=6p=0.78A random variable X~Binomial(n=6, p=0.78)

Q: A newsstand manager is tracking Y, the number of weekly magazines left on the shelf when the new…

A: Given: The probability distribution of Y is Y P(Y=y) 3 13 7 14 10 13 12 112 E[X] =…

Q: A grocery​ store's receipts show that Sunday customer purchases have a skewed distribution with a…

A: From the provided information, Mean (µ) =29 Standard deviation (σ) = 21 Sample size (n) = 307 For…

Q: You are playing a card came, and the probability that you will win a game is p = 0.19. %3D If you…

A:

Q: Data from an experiment show that the standard deviation is 3.6 and the mean is 23.4. Find the…

A:

Q: A professor knows that her statistics students' final exam scores have a mean of 75 and a standard…

A: Given: mean μ=75 Standard deviation σ=10.6

Q: There are two stocks that have normally distributed returns Investment A has a mean of 15 and a…

A: The distribution of the returns (in percent) of two stocks A and B are given to be distributed…

Q: The random variable x represents the number of emails received at a help desk in one hour, and it…

A: given data, random variable x represent the number of emails received at a help desk in one hour…

Q: ou go to see eight movies every year and win whenever nobody talks. The long-term probability of…

A: Given data, n=8 p=0.3

Q: A survey asked recently retired people how many different employers they had during their working…

A: For the given probability distribution table, mean and standard deviation can be calculated as…

Q: Calculate the expected value, the variance, and the standard deviation of the given random variable…

A:

Q: In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.03 gallons…

A:

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: Mary drives to work each morning, and the trip takes an average of µ = 38 minutes. The distribution…

A: Given: µ = 38 minutes,  σ = 5 minutes. The Z follows standard normal distribution. Z=X-μσ

Q: On average, TV crash after 17,000 hours of continuous use. Although the time for the TV to crash is…

A: Given problem Given that   On average, TV crash after 17,000 hours of continuous use. Although the…

Q: You are playing a card came, and the probability that you will win a game is p = 0.75. If you play…

A: p=0.75sample size(n)=203

Q: Random samples of a Gaussian distribution will fall within two standard deviations of the mean with…

A: Concept:  68% of the data is within 1 standard deviation (σ) of the mean (μ), 95% of the data is…

Q: What is the probability that the jewelry store will have to pay off on its promise?

A:

Q: Asset A will generate a 20% return with probability 0.25; a 15% return with probability 0.50; and a…

A:

Q: The average student loan debt for college graduates is $25,600. Suppose that that distribution is…

A:

Q: ose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the…

A: When the percentage of return is less than 0% the person will loose money.

Q: Find the probability that a randomly selected Private nonprofit four-year college will cost less…

A: given   μ  =27.263    , σ  = 6865z = x -μσ

Q: You are looking at taking two professors for a course. The first professor has an average grade of…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!