D Question 22 4 pts A simple random sample of 150 households was collected. The sample mean of number of TVs in a household was 1.32. We know that the population standard deviation is 0.41. Construct a 95% confidence interval for the mean number of TVs. Write your answer using [a,b] notation. Do not insert any spaces. Round to the nearest hundredth. D Question 23 4 pts An ice cream parlor offers 15 flavors of ice cream. 1) In how many ways can you choose an ice cream cone with three different scoops if it matters which flavor is on the top, which is in the middle, and which is on the bottom? 2) In how many ways can you choose an ice cream cone with three different scoops if the order of flavors does not matter? D Question 24 4 pts The results of the survey asking 2000 people how many hours per day they spend on relaxing are presented below: # of # of people hours 500 300 1200 Consider these 2000 people to be a population. Let X be a random variable representing number of hours of relaxation for a person sampled at random from this population. Below is the probability distribution table of X. Fill in the missing entry. Use decimals for the probability. X o P(X) D Question 25 4 pts You will have to decide whether a random variable described below has a binomial distribution and if yes, what is the number of trials n. 1) A coin is tossed until a head appears. 12 Let X the number of tosses. Is this a binomial distribution? (type "yes" or "no") If yes, what is its trial number? (if it is not a binomial distribution type O 2) A coin is tossed 8 times. Let X be a number of heads obtained. Is this a binomial distribution? (type "yes" or "no". If yes, what is its trial number? (if it is not a binomial distribution type 0) 3) A random sample of 100 people is selected. Let X be the number of people who admitted that they smoke. Is this a binomial distribution? (type "yes" or "no". If yes, what is its trial number? if it is not a binomial distribution type O)