The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample of n= 38, find the probability of a sample mean being less than 12,748 or greater than 12,751 when u = 12,748 and o= 1.4. For the given sample, the probability of a sample mean being less than 12,748 or greater than 12,751 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? O A. The sample mean would be considered unusual because there is a probability less than 0.05 of the sample mean being within this range. O B. The sample mean would be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. O C. The sample mean would not be considered unusual because there is a probability greater than 0.05 of the sample mean being within this range. O D. The sample mean would not be considered unusual because there is a probability less than 0.05 of the sample mean being within this range.

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.

Please answer within 30min thanks.

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?