A binomial experiment has the given number of trials n and the given success probability p. n-20, p 07 (a) Determine the probability P(8). Round the answer to at least four decimal places P(8) -O (b) Find the mean. Round the answer to two decimal places. The mean is (c) Find the variance and standard deviation. Round the variance to two decimal places and standard deviation to at least three decimal places. The variance is The standard deviation is

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number of red marbles that Suzan has in her hand after she selects three marbles from a bag containing three red marbles and two green ones. expected value       variance       standard deviation

Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results   find the mean, variance, and standard deviation

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number of red marbles that Suzan has in her hand after she selects four marbles from a bag containing four red marbles and two green ones. expected value variance standard deviation Need Help? Read It

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you​ can, find the mean and standard deviation. If you​ cannot, explain why.   A survey of adults found that 65% have used a multivitamin in the past 12 months. You randomly select 50 adults and ask them if they have used a multivitamin in the past 12 months.

It is believed that 58% of Americans like to eat at restaurants every week. You interview 6 Americans and ask if they like to eat at restaurants every week. The random variable x represents the number of Americans that like to eat at restaurants every week. Find the mean of the binomial distribution. μ = ____________________________ Find the standard deviation of the binomial distribution. σ = __________________________ What is the probability that at least 1 of the Americans surveyed likes to eat at restaurants every week? Provide an answer to 4 decimal places.

Federal Government Employee E-mail Use It has been reported that 73% of federal government employees use e-mail. If a sample of 190 federal government employees is selected, find the mean, variance, and standard deviation of the number who use e-mail. Round your answers to three decimal places. Part: 0/ 2 Part 1 of 2 (a) Find the mean. Mean: μ %3D Part: 1/2 Part 2 of 2 (b) Find the variance and standard deviation. Variance: o = Standard deviation: o =

esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…

The number of days (X) after mailout it takes a utility company to receive payment for a customer's bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days. About 16% of bills will be received earlier than days after mailout.

(a) Approximate the mean and standard deviation.  Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency.  Round any decimals to 3 places.  Do not include the zero before the decimal.  For example for 0.56, enter .56 (c)  What is the shape of the distribution?