f an individual were selected at random from a large group of adult females, the probability that it has height M is precisely 68 inches (that is 68.00 inches) would be zero. What is the probability that M is between 67.00 inches and 68.00 inches.

he heights of women in New Zealand are normally distributed, with a mean of 165 centimetres and a standard deviation of 10 centimetres.   A random sample of five women is selected. What is the probability that the sample mean is greater than 162 centimetres?

17.  In a modeling agency, a researcher wishes to see if the average height of female models is less than 67 inches, as the coach claims. A random sample of 60 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At 𝛼 = 0.05, which of the following shows the appropriate rejection of the given problem?*A.B.C.

Pick a student at random. Let B denote the event that the student ate breakfast this morning; let M denote the event that the student is male.One of the following choices is larger than the other two. Which is it?P(B)P(B or M)P(B and M)One of the following choices is smaller than the other two. Which is it?P(B)P(B or M)P(B and M)

Chest circumferences of adult males are known to follow a Normal distribution with mean 40 inches and standard deviation 2.1 inches. Suppose we collect a random sample of 66 adult males. What is the probability that the average chest circumference of this group will be exactly 39.98 inches?Give your answer to four decimal places. If the question cannot be answered with the information given, enter -1 as your answer.

An engineering school reports that 55% of its students were male (M), 40% of its students were between the ages of 18 and 20 (A), and that 25% were both male and between the ages of 18 and 20.What is the probability of a random student being female between the ages of 18 and 20? Assume P(F) = P(not M). 0.15 0.16 0.30 0.40