Concept explainers
Refer to the density
a Find the .95-quantile, ϕ.95, such that P(Y ≤ ϕ.95) = .95.
b Find a value y0 so that P(Y < y0) = .95.
c Compare the values for ϕ.95 and y0 that you obtained in parts (a) and (b). Explain the relationship between these two values.
4.8 Suppose that Y has density function
a Find the value of k that makes f (y) a probability density function.
b Find P(.4 ≤ Y ≤ 1).
c Find P(.4 ≤ Y < 1).
d Find P(Y ≤ .4|Y ≤ .8).
e Find P(Y < .4|Y < .8).
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Chapter 4 Solutions
Mathematical Statistics with Applications
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