three-point shots made per game over his career with a standard deviation of 1.23. What is the probability he makes 5 three-point shots or more in his next game if the number of three-point shots per game Lebron James makes follows a normal distribution?   a. None of these   b. 17%   c. 23%   d. 8%   e. 11%

In the month of July, the average electrical Eversource bill in Amherst Massachusetts is $72 with a standard deviation of $6. Suppose that the electrical bills are normally distributed, what is the probability that the average electrical bill in Amherst for 15 residents is less than $75? Select one: A. 78.45% B. 23.27% C. 97.38% D. 31.21%

In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.