twirlergirl800
15.01.2020 •
Mathematics
Claim amounts for wind damage to insured homes are independent random variables with common density f(x) = ( 3 x4 , x > 1 0 , otherwise where x is amount of claim in thousands. (a) find the probability that a claim is below average? [19/27] (b) suppose 3 claims will be made. what is the expected value of the largest of the three claims? [2.025] (c) suppose 3 claims will be made. what is the expected value of smallest of the three claims? [1.125]
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Ответ:
This distribution has expectation
a. The probability that falls below the average/expectation is
b. Denote by the largest of the three claims . Then the density of this maximum order statistic is
where is the distribution function for . This is given by
So we have
and the expectation is
c. Denote by the smallest of the three claims. has density
so the expectation is
Ответ:
I do not know sorry
Step-by-step explanation: