A Farmer Was Interested in Determining How Many Grasshoppers Were

question 25

Multiple Choice

A farmer was interested in determining how many grasshoppers were in his field. He knows that thedistribution of grasshoppers may not be normally distributed in his field due to growing conditions. As hedrives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows hefigures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of thefarmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor?

• A) 0.0571
• B) 0.4429
• C) 0.9429
• D) 0.5710

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Definitions:

Expected Value

The sum of all possible values each multiplied by the probability of its occurrence, often used in probability theory to predict the average outcome of a random event over the long term.

Binomial Probability Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states under a given number of observations or trials.

Binomial Experiment

An experiment in statistics involving a fixed number of trials, each of which has only two potential outcomes.

Shopping Mall

A large indoor complex typically comprised of various retail stores, food outlets, and sometimes entertainment facilities.