With an automated irrigation system, a plant grows to a height of 3.5 centimeters two weeks after germination. Without an automated system, the height is normally distributed with mean and standard deviation 2.8 and 0.5 centimeters, respectively. a) What is the probability of obtaining a plant of this height or greater without an automated system? Round your answer to three decimal places (e.g. 0.987). P(X> 3.5) = i b) Do you think the automated irrigation system increases the plant height at two weeks after germination? O No, because the probability of a plant growing to a height of 3.5 centimeters or more without irrigation is large. O No, because the probability of a plant growing to a height of 3.5 centimeters or more without irrigation is small. O Yes, because the probability of a plant growing to a height of 3.5 centimeters or more without irrigation is large. O Yes, because the probability of a plant growing to a height of 3.5 centimeters or more without irrigation is small.

The revenue of a  shop is approximately normally distributed with a mean of $4500 and a standard deviation of $800.Find the revenue, y, for which 33% of revenue are below it.

Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 O B. 0.8989 O C. 0.2881 O D. 0.9918 Next View Instructor Tip Calculator 809 PM 70°F Cloudy 10/8/2021 33 2 Type here to search 10/05/17 PrtSc Insert Delete AI F9 F10 F11 F12 F7 F8 F5 F6 Esc F3 F4 F1 & Backspace Num Lock C@ %23 5 7 080 3 T. Y కాం Home C Tab H. K Enter G A CapsLk 1 Shift C V N End hift PgUp Alt Ctrl End + |/ A MI 小 44

Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 24.7. Find the first quartile Q,. which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)