posted by .

Suppose the yearly rainfall totals for a some city follow a normal distribution, with mean of 18 inches and standard deviation of 6 inches. For a randomly selected year, what is the probability, P, that total rainfall will be in each of the following intervals? (Round all answers to four decimal places.)
(a) Less than 12 inches.
P = ?
(b) Greater than 27 inches.
P = ?
(c) Between 12 and 24 inches.
P = ?
(d) Greater than 35 inches.
P = ?

  • math -

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores you find.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. statistics

    Assume the monthly rainfall in a certain state is normally distributed with a mean of 2.85 inches and a standard deviation of .2 inches: a) probability that in any given month there is between 2.7 and 2.9 inches of rainfall b) probability …
  2. college stats

    iN manoa Valley on the island of Oahu Hawaii the annual rainfall averages 43.6 inches with a standard diviation 7.5 inches. for a given year, find the probability that the annual rainfall will be..(solve for a,b,and c) show work a)more …
  3. statistics

    The distribution of heights of American women aged 18 to 24 is approximately normally distributed with mean 65.5 inches and standard deviation 2.5 inches. What is the probability that a randomly selected woman is between 60 and 64 …
  4. math

    Inches 9 8 - 7 - 6 - 5 - ,--- 4 - t-- ,--- 3 - t-- ,--- ~ t-- 2 1 - - J F M A M J J A s 0 N D Months The graph above represents the amount of rainfall in a particular state by month. Which of the following is the total rainfall for …
  5. Statistics

    A manufacturing facility produces iron rods whose mean diameter is 2.5 inches with a standard deviation of 0.2 inch. If a sample of 50 metal rods produced by the facility were randomly selected, what is the probability that the mean …
  6. math

    the average annual rainfall for a town is 43.2 inches. I know the monthly rainfall has to be 3.6 inches. the difference of a given month's rainfall from the average monthly rainfall is called the deviation. what is the deviation for …
  7. Math

    The annual precipitation for one city is normally distributed with a mean of 329 inches and a standard deviation of 2.6 inches. Find the probability that a randomly selected year will have more than 323.8 inches of rain. Express the …
  8. stats

    if the distribution of heights for adult men is approximately normal with a mean of 69.5 inches and a standard deviation of 2.7ninches what is the probability that a randomly selected man is shorter than 65 inches?
  9. Statistics

    Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches …
  10. Statistics

    The yearly rainfall in Vancouver, B.C. follows a normal distribution with standard deviation 172 mm. In 20% of years, the city gets over 1200 mm of rain. What is the mean annual rainfall in Vancouver (in mm)?

More Similar Questions