Question: Can someone please help me solve these stats problems? A local county has an unemployment rate of 4.7%. A random sample of 6 employable people

Can someone please help me solve these stats problems?

has an unemployment rate of 4.7%. A random sample of 6 employable

they are employed. The distribution is a binomial. Round answers to 4

A local county has an unemployment rate of 4.7%. A random sample of 6 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 5 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed. Suppose that about 84% of graduating students attend their graduation. A group of 5 students is randomly chosen, and let X be the number of students who attended their graduation. Please show the following answers to 4 decimal places. a. What is the probability that exactly 3 number of students who attended their graduation in this study? b. What is the probability that more than 3 number of students who attended their graduation in this study? c. What is the probability that at most 3 number of students who attended their graduation in this study? d. What is the probability that between 3 and 4 (including 3 and 4 ) number of students who attended their graduation in this study? A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win food or cash prizes. According to the company, the probability of winning a prize (large or small) with any eligible purchase is 0.137 . Consider your next 13 purchases that produce a game piece. Calculate the following: Express your answer as a decimal with 4 decimal places. a) What is the probability that you win 1 prizes? b) What is the probability that you win more than 4 prizes? c) What is the probability that you win between 1 and 3 (inclusive) prizes? d) What is the probability that you win 2 prizes or fewer? When dragons on planet Dathomir lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 32% of the eggs are yellow, and the rest green. Next spring, the lead scientist has permission to randomly select 51 of the dragon eggs to incubate. Consider all the possible samples of 51 dragon eggs. What is the mean () number of yellow eggs in samples of 51 eggs? = (Please show your answer to 1 decimal place) What is the standard deviation () in the number of yellow eggs in samples of size 51 ? =(Pleaseshowyouranswerto1decimalplace)

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