Please make sure you answer all the questions. Also, indicate which question are you answering. There are 5 questions in total. I have attached the screenshots. The picture may not be in order. Number 1 and 2 questions may be in screen shot number 3, and number 3 in screenshot 2, number 4 and 5 in ss 1

Q1. Suppose the following table shows the frequency of each number of televisions in given household. # of Televisions # of Households x Px) 0 1000 l 3 0000 2 3 5 000 3 25 000 4 5000 5 4000 a. Complete the probability distribution b. 1What is the probability that the random variable X is greater than 1? c. 1ill-Fhat is the probability that the random variable X is between 2 and 4? d. Calculate the expected value c. Calculate the standard deviation Q2. The arrival time of an elevator in a ll-story dormitory is equally likely at any time during the next 4 minutes. (Round your answers to 3 decimal places if needed) Calculate the expected arrival time Calculate the standard deviation 1What is the probability that an elevator arrives in less than 1.5 minutes"? 1\\.Tlfl:1at is the probability that the wait for an elevator is more than 1.5 minutes"? 1What is the probability that the wait for an elevator is between 0.5 minute and 3 minutes".J sic99's Q3. According to a survey by Transamerica Center for Health Studies, 15% of Americans still have no health insurance. Suppose five individuals are randomly selected. (Round your answers to 4 decimal places if needed) a. What is the probability that all five have health insurance? b. What is the probability that no more than two have health insurance? c. What is the probability that at least four have health insurance? d. What is the expected number of individuals who have health insurance? e. What is the standard deviation for this probability distribution? Q4(a). Find the following probabilities based on the standard normal variable Z using z Table. a. P(Z = 1.64) b. P(Z > 1.32) c. P(Z 1.32) c. P(Z z) = 0.8389 c. P(- z