# Question: It is known that 20 of all farms in a

It is known that 20% of all farms in a state exceed 160 acres and that 60% of all farms in that state are owned by persons over 50 years old. Of all farms in the state exceeding 160 acres, 55% are owned by persons over 50 years old.

a. What is the probability that a randomly chosen farm in this state both exceeds 160 acres and is owned by a person over 50 years old?

b. What is the probability that a farm in this state either is bigger than 160 acres or is owned by a person over 50 years old (or both)?

c. What is the probability that a farm in this state, owned by a person over 50 years old, exceeds 160 acres?

d. Are size of farm and age of owner in this state statistically independent?

a. What is the probability that a randomly chosen farm in this state both exceeds 160 acres and is owned by a person over 50 years old?

b. What is the probability that a farm in this state either is bigger than 160 acres or is owned by a person over 50 years old (or both)?

c. What is the probability that a farm in this state, owned by a person over 50 years old, exceeds 160 acres?

d. Are size of farm and age of owner in this state statistically independent?

## Answer to relevant Questions

In a large corporation, 80% of the employees are men and 20% are women. The highest levels of education obtained by the employees are graduate training for 10% of the men, undergraduate training for 30% of the men, and high ...Of 100 patients with a certain disease, 10 were chosen at random to undergo a drug treatment that increases the cure rate from 50% for those not given the treatment to 75% for those given the drug treatment. a. What is the ...A dean has found that 62% of entering freshmen and 78% of community college transfers eventually graduate. Of all entering students, 73% are entering freshmen and the remainder are community college transfers. a. What is the ...After meeting with the regional sales managers, Lauretta Anderson, president of Cowpie Computers, Inc., you find that she believes that the probability that sales will grow by 10% in the next year is 0.70. After coming to ...The probability of A is 0.60, the probability of B is 0.45, and the probability of either is 0.80. What is the probability of both A and B?Post your question