Biology and Environmental Science
Many backyard gardeners prefer Silver Queen Hybrid corn. This late-season variety is very sweet and has tender, white kernels. In some locations in the Northeast, gardeners have trouble harvesting this variety because of its longer growing time. The temperature of the soil should be at least 65°F before planting, and the growing time is approximately normal with mean 92 days and standard deviation 5 days.
a. What is the probability that a randomly selected seed will mature in less than 90 days?
b. What is the probability that a randomly selected seed will mature in between 95 and 100 days?
c. Suppose a row in a backyard garden contains 12 plants. What is the probability that four will be ready for dinner by the 95th day?
d. Find a value h such that 99% of all plants are ready to be harvested within h days.