Question

If the temperature in Florida falls below 32 degrees F during certain periods of the year, there is a chance that the citrus crop will be damaged. Suppose that the probability is .1 that any given tree will show measurable damage when the temperature falls to 30 degrees F. If the temperature does drop to 30 degrees F, what is the mean number of trees showing damage in orchards of 2000 trees

Answer 1

Answer:

200 trees

Step-by-step explanation:

Given that the temperature drops to 30 degrees F, the expected value in this situation is given by the probability of each tree sustaining damage (10%), multiplied by the total number of trees susceptible to damage (2,000 trees):

$E(X) = 0.10*2,000\\E(X) = 200\ trees$

The mean number of trees showing damage is  200 trees.