The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is (a) less than $66, (b) between $83 and $110, and (c) more than $140. ... (a) The probability that a randomly selected utility bill is less than $66 is (Round to four decimal places as needed.)

Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.

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

In basketball, the top free throw shooters usually have a probability of about 0.85 of making any given free throw. Over the course of a season, one such player shoots 500 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall? a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. H = 425 (Type an integer or a decimal.) 6= (Round to three decimal places as needed.) example Get more help. tv Clear all Check answer A 510 1 O C G