8- Let the random variable X have the density function f(x) = {kx,0 ≤x≤ √2/k lo,elswhere If the mode of the distribution is at x = then, the prob

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 23E
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8- Let the random variable X have the density function
f(x)
(kx,0 ≤x≤ √2/k
(0,elswhere
If the mode of the distribution is at x = then, the probability of X less
than the median of X is
(a) 0.312
O a
O b
O
O d
(b) 0.25
(c) 0.5
(d) 0.125
Transcribed Image Text:8- Let the random variable X have the density function f(x) (kx,0 ≤x≤ √2/k (0,elswhere If the mode of the distribution is at x = then, the probability of X less than the median of X is (a) 0.312 O a O b O O d (b) 0.25 (c) 0.5 (d) 0.125
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