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?

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 First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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?

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