Help Sav A random variable is binomially distributed with n= 16 and T= 40. The expected value and standard deviation of the variables are %3D

Binomial Random Variable 2. According to the CDC, in 2015 20% of high school students rode with a driver (in the last 30 days) who had been drinking alcohol. Finish attemp A random sample 16 high school students was chosen. Assume the distribution is normal. Use the Binomial Distribution Table (PDF, 739 KB) (opens in new window) to find the probabilities. Please note, this question is specifically assessing your ability to use the table to find the probability. You may get a slightly different answer due to rounding if you use a calculator or other technology. 1. At least 15 have ridden with a drunk driver. P(r • 15) 2. Less than 4 have ridden with a drunk driver. P(r + 4) = 3. No more than 2 have ridden with a drunk driver. P(r • 2) = 4. Exactly 11 have ridden with a drunk driver. P(r • 11) = 5. At least 1 have ridden with a drunk driver. Pr + 1) = 6. Between 2 and 4 (exclusive) have ridden with a drunk driver. P(2 • 4) =

(1 point) Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace card, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 5 clubs? For the experiment above, let X denote the number of clubs that are drawn For this random variable, find its expected value and standard deviation. E(X) – Give your answers to at least 4 decimal places.

REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults.† Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that ?1 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.2 hours per night. Previous studies show that ?2 = 0.7 hour. (a)

Find the approximate mean and variance of Y = √X, where X is a randomvariable following a Poisson distribution.

The maximum patent life for a drug is 17 years. Subtracting the length of time required by the FDA for testing and approval of the drug provides the actual patent life for the drug that is, the length of time that the company has to recover research and development costs and to make a profit. The distribution of the lengths of actual patent lives for new drugs is given below, where Y is a random variable representing actual patent life of a drug (in years): y P(Y=y) F(y) 4 5 6 7 8 9 10 11 0.06 0.08 0.11 0.15 0.22 0.18 0.12 0.08 a) Complete the table above with the cumulative probability distribution for actual patent life (F(y) = P(Y ≤ y)). b) What is the probability that the actual patent life of a random drug is 6 years or less? c) What is the probability that the actual patent life of a random drug is more than 8 years? Show this in two ways: i. using the probability distribution for Y ii. using the cumulative probability distribution for Y, and applying our probability of comple-…

Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 3.96014.5373 is the standard deviation of the second sample.