The final exam scores in a statistics class were normally distributed with a mean of 63 and a standard deviation of five. a. Find the probability that a randomly selected student scored more than 65 on the exam.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? b. Find the probability that a randomly hit fly ball travels less than 241 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places.

Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. Provide the final answer as a percent rounded to two decimal places.

A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability =  B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =

Evpte. If the probability of a defective bolt is 0.1, find Ta) the mean (b) the standard deviation for the distribution of defective bolts in a total of 400.

A truck is loaded with cartons of eggs that weigh an average of 1.8 pounds each with a standard deviation of 0.2 pound. A histogram of these weights appears mound-shaped and symmetric. What proportion of the cartons weigh less than 1.4 pounds? Select one: a. 5% b. 2.5% C. 95% d. 68%

Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard deviation of 5.3. Calculate the probability that the golfer will shoot lower than a 76 during his next round. Select one: a. 0.0051 O b. 0.065 O c. 0.012 O d. 0.0033

In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test had a mean score of 230 with a standard deviation of 23. Assume the scores are normally distributed. Find the probability that a student had a score higher than 285.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)