A consumer organization inspecting new TV sets found that 23% have one appearance defect. Suppose you randomly select 3 TV sets.  If ? is the number of TV sets with an appearance defect, fill out the probability distribution on the table below:    X 0 1 2 3 P(X)   0.23

4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…

Suppose a population distribution has a mean  = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?

Suppose 2 dice are rolled, and suppose the discrete variable x counts the number of 3’s that show up. Plot the probability distribution for x using a bar graph. What is the expected value for the random variable x? What is the variance for the random variable x?

The average student loan debt for college graduates is $25,200. Suppose that that distribution is normal and that the standard deviation is $13,300. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X - N b Find the probability that the college graduate has between $22,700 and $29,650 in student loan debt. c. The middle 30% of college graduates' loan debt lies between what two numbers? Low: $ High: S

A stock can earn a return of 10%, 15%, -5%, or 0%, each with a known probability of 25%. What is the standard deviation of this stock's return? Select one: O a. .025 b. .079 c..05 d. .00625 e..0913

The average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $14,350. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.b   Find the probability that the college graduate has between $28,800 and $41,400 in student loan debt. c.  The middle 20% of college graduates' loan debt lies between what two numbers?     Low: $     High: $

Suppose that the five original Skittles colors are produced in equal quantities. Let p = the proportion of Skittles that are yellow. Then p = 0.2. An Elementary Statistics class will take a random sample of 500 Skittles. Find the probability that the obtained p will be greater than 0.25.

What is the probability that a z-score will be 0.92 or more?

In a given company, employee should sign in using the biometric time clock. There are 3 devices in thecompany and the probability that it works is 95%.Let x be the random variable of the number of devices working at a given day.1. Construct the probability distribution of x.2. Find the mean value and interpret it.3. Find the standard deviation and interpret it.