Question: 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

The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a random variable with probability density function

Sk(1 – x*) f(1) = f(x) -1<I<1 otherwise

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?

Sk(1 x*) f(1) = f(x) -1

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