3.25 Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. a) Suppose a random sample of ten 18-20 year olds is taken. Is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? ONo, this follows the bimodal distribution Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome No, the trials are not independent O No, the normal distribution should be used b) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. Round your answer to 4 decimal places. c) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage? Round your answer to 4 decimal places. d) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places. e) What is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? Round your answer to 4 decimal places.

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 29% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 52 of the dragon eggs to incubate. Consider all the possible samples of 52 dragon eggs.What is the mean number of yellow eggs in samples of 52 eggs? (that is the same as asking for the expected value of the number of yellow eggs) (Give answer correct to at least one decimal place.) mean = What is the standard deviation in the number of yellow eggs in samples of size 52? (Give answer correct to at least one decimal place.) standard deviation = What is the variance in the number of yellow eggs in samples of size 52? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance =

A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.1%), Married (55.9%), Widowed (3%), Divorced (10%). The table below shows the results of a random sample of 1824 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 562 Married 1024 Widowed 73 Divorced 165 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: O Marital status and residency are dependent. O Marital status and residency are independent. O The distribution of marital status in California is not the same as it is nationally. O The distribution of marital status in California is the same as it is nationally.

a particular strain of inbred mice has a disability. any one mouse born with specific paretnis is 0.25. if 20 offspring are raised from these parents.. 1.) what is the mean and variance 2.)what is teh probability of obseving 5 offspring with the disability?