a) The average height of sunflowers in a field is 64 inches with a standard deviation of 3.5 inches. Describe a normal curve for
the distribution, including the values on the horizontal axis at one, two, and three standard deviations from the mean. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 inches?
The values on the horizontal axis are: at 0 = 64 at one standard deviation (lower, upper) = (60.5 , 67.5) at two standard deviation (lower, upper) = (57 , 71) at three standard deviation (lower, upper) = (53.5 , 74,5)
B. P(x > 71) = 1 - P(x < 71) = 1 - P[z < (71 - 64)/3.5] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 Therefore the no of plants taller than 71 inches will be approximately 0.02275 * 3000 = 68
State A has 25 drive-in movie screens and State B has 21. You find this by guess-and-checking different numbers that you could add together to get 46. You want to do numbers that are relatively close, as a difference in 4 is not much at all. You can divide 46 by 2 and then play around from there.
