Problem 8SE
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 0ºC?
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?
Step-by-Step Solution:
Answer
Step 1 of 6
a)Here we have to find the integration of the given pdf
And that will be equal to total probability one
(1-⅓)-(-1+⅓) =1/k
2-(⅔)=1/k
k=¾
k=0.75
Step 2 of 6
Chapter 2, Problem 8SE is Solved
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Step 3 of 6
