Question

The waiting time for the first claim from a good driver and the waiting time for the first claim from a bad driver are independent and follow exponential distributions with mean 6 years and 3 years, respectively. Calculate the variance of the total waiting time for the first claim from the good driver and the first claim from the bad driver.

Answer 1

let x he tu time waiting for first claim from a good driver X a exp (x: 6 gs) - 27€ (3) = fx bol 24>O + 6 the waiting time time for a bad astuer first claim from x = 3 yrs) ya exp t ty (g) : 1 e riven, x 4 Y are independent so, v (x+y) vo) + v) + xiy) o] EVX) + v)

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Simidenly WNSE зь ҚР 2 (x+y) 36 -1 а и Зеол.