(Solution) MATH225 Week 5 Assignment Applications of the Normal Distribution – Excel

Question The number of miles a motorcycle, X, will travel on one gallon of gasoline is modeled by a normal distribution with mean 44 and standard deviation 5. If Mike starts a journey with one gallon of gasoline in the motorcycle, find the probability that, without refueling, he can travel more than 50 miles.  Ans. 0.1151 You can as well check…

(Solution) MATH225 Week 5 Assignment Central Limit Theorem for Proportions

Question From recent census data, it is discovered that the proportion of the adults in the United States who are first generation Americans is 14%.  For a random sample of size 500, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places? Provide your answer below: Ans. Given the population proportion p=14%=0.14 and…

(Solution) MATH225 Week 4 Assignment – Evaluating Probability with the Binomial Distribution

Question A basketball player has a 0.689 probability of making a free throw. If the player shoots 18 free throws, what is the probability that she makes no more than 11 of them? Answer This probability can be found using the binomial distribution with success probability p=0.689 and 18 trials. To find the probability that no more than 11 of the free throws are made, use a…

(Solution) MATH225 Week 4 Assignment – Distribution with Probability Rules – Excel

Question At a certain fast food restaurant, 77.5% of the customers order items from the value menu. If 14 customers are randomly selected, what is the probability that at least 9 customers ordered an item from the value menu? Use Excel to find the probability. Ans. 0.927  You can also check out (Solution) MATH225 Week 4 Assignment – Evaluating Probability with…

(Solution) MATH225 Week 4 Assignment Probability Terminology and Notation

Question A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25 surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages of 40 and 45, 52% also believed that a master’s…