The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. In a letter to an advice column, a wife claimed to have given birth 308 days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting 308 days or longer. What does the result suggest? b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not considered premature. a. The probability that a pregnancy will last 308 days or longer is ☐ (Round to four decimal places as needed.)

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of the observations lie between what two values?

Use a normal distribution table or a statistical calculator to answer this question. A farm produces 10,000 eggs in a day. The mean mass of an egg is 59 grams. The standard deviation is 5 grams. An egg is "extra-large" if it has a mass between 63 and 69 grams. To the nearest ten eggs, how many extra-large eggs does the farm produce in a day?

In the 1992 presidential election, Alaska's 40 election districts averaged 2118 votes per district for President Clinton. The standard deviation was 577. (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.1. Find the probability that a randomly selected district had between 2236 and 2434 votes for President Clinton. 2. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.

You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.61. What is the probability that ita. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean c. Find the standard deviation.

What type of distribution is this : you measure the GPA of every student in a high school to the nearest thousandth?

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.

The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?

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?