The Weight of a

question 56

Essay

The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds.
a.Give a mathematical expression for the probability density function.
b.What is the probability that a bag will weigh more than 40 pounds?
c.What is the probability that a bag will weigh less than 39 pounds?
d.What is the probability that a bag will weigh between 39 and 40 pounds?

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Definitions:

Systematic Risk

The risk inherent to the entire market or market segment, also known as market risk, which cannot be mitigated through diversification.

Expected Return

An estimate of the various amounts of money that one could potentially gain or lose from an investment.

Beta

A measure of a stock's volatility in relation to the overall market; a measure of systematic risk.

Standard Deviation

A measure of the dispersion or variation within a set of numerical data, indicating how spread out the values are from the average.