Question

The heights of tomato plants are normally distributed with a mean of 37 inches and a standard deviation of 3.1 inches. The random variable X measures the height of a randomly selected tomato plant.

A) State the distribution of the random variable defined above

B) Compute the probability that a randomly selected tomato plant is taller than 45 inches

C) Compute the probability that a randomly selected tomato plant is between 30 and 38 inches

D) Compute the probability that a randomly selected tomato plant is shorter than 32 inches

E) A plant scientist is studying a genetic condition in tomato plants causing stunted growth. She determines that only tomato plants at or below the tenth percentile may be affected. Compute and interpret the tenth percentile in terms of the given scenario

Answer 1