Question
Asked Mar 10, 2020
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The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a
random variable with probability density function
{*
S k(1 – x)
-1 <x < 1
f(x) =
otherwise
where k is a constant.
Find the value of k.
a.
b.
What is the probability that the thermometer reads above 0°C?
What is the probability that the reading is within 0.25°C of the actual temperature?
What is the mean reading?
C.
d.
What is the median reading?
e.
f.
What is the standard deviation?
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The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a random variable with probability density function {* S k(1 – x) -1 <x < 1 f(x) = otherwise where k is a constant. Find the value of k. a. b. What is the probability that the thermometer reads above 0°C? What is the probability that the reading is within 0.25°C of the actual temperature? What is the mean reading? C. d. What is the median reading? e. f. What is the standard deviation?

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