The temperature X in degrees Fahrenheit (F) of a particular chemical reaction is known to be...

The temperature X in degrees Fahrenheit (F) of a particular chemical reaction is known to be distributed between 220 and 280 degrees with a probability density function of fX(x) = (x − 190)/3600. A value of X degrees Fahrenheit can be converted to Y degrees Celsius (C) by taking Y = (5/9)(X − 32).

Determine the following in both degrees F and degrees C:

(a) the mean of the distribution

(b) the variance of the distribution

(c) the cumulative distribution function (cdf)

(d) the probability density function (just for degrees C)

Expert Solution

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