In: Statistics and Probability
1. An imaginary study states that an American household spends an average of $1250 per year on soft drinks. The standard deviation for the study is $225. If 30 American households are selected at random, what is the probability that they spend an average of between $1180 and $1270 per year on soft drinks?
2. The average number of deaths per week for Covid 19 patients in the U.S. since March 21st is 9,433, with a standard deviation of 4733. If a week is chosen at random, what is the probability that there were more than 6000 deaths in that week?
3. The average distance a baseball was tossed by students trying out for the little league team was 65 ft., with a standard deviation of 8 ft. If the top 20% of these players will be chosen for the team, what is the least distance necessary to throw the ball to make the team?