From the very beginning, each door had a 1/3 probability chance to be holding the grand prize. And the fact that she saw the consolation prize behind one of them does not change this probability.
From the beginning, all doors had equal chances.
Based on this, the answer to your question would be:
She could either accept or not accept the host's offer <span>because the probabilities of the three doors were equal from the beginning.</span>
<em>x</em>/<em>r</em> + <em>x</em>/<em>w</em> + <em>x</em>/<em>t</em> = 1
<em>x</em> (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) = 1
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>)
To make the solution a bit cleaner, multiply through the numerator and denominator by the LCM of each fraction's denominator, <em>rwt</em> :
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) • <em>rwt</em> / <em>rwt</em>
<em>x</em> = <em>rwt</em> / (<em>rwt</em>/<em>r</em> + <em>rwt</em>/<em>w</em> + <em>rwt</em>/<em>t</em>)
<em>x</em> = <em>rwt</em> / (<em>wt</em> + <em>rt</em> + <em>rw</em>)
Im going to assume that 3√ is √3
And √3 is irrational because You cant square root it without getting nuked with a Random Number generator of decimals.
Answer:
The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.
Step-by-step explanation:
The simple linear regression line is used to determine the changes in the dependent variables when the independent variable is changed.
The general form of the simple linear regression line is:
The simple linear regression model for the reaction time of a certain chemical process based on the temperature (°F) in the chamber in which the reaction takes place is:
Here,
<em>y</em> = reaction time (in hours)
<em>x</em> = temperature (°F)
Compute the expected change in reaction time for a 1°F increase in temperature as follows:
The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
Compute the expected change in reaction time for a 8°F increase in temperature as follows:
The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.
The answer is k=-1.........
