The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a random variable with probability density function 
where k is a constant.
The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a random variable with probability density function
where k is a constant.
a. Find the value of k.
b. What is the probability that the thermometer reads above 0°C?
c. What is the probability that the reading is within 0.25°C of the actual temperature?
d. What is the mean reading?
e. What is the median reading?
f. What is the standard deviation?
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