Question

b) A continuous random variable X has a probability density function f(x)=kx", 0 a) (iii) b when P(x > b) = 0.05 find k
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Answer 1

Answer:

jeuygsbziygsvsk(hn276twgbsnzn

Answer 2

Answer:

Step-by-step explanation:

∵ the value of a probability density function over the whole range is equal to ′1′

i) ∴∫02f(x)dx=∫02kxdx=1

                   ⇒K[2x2]02=1

                   ⇒k[24−0]=1

                   ⇒k×2=1

                   ⇒k=21

ii) P(1<x<2)

                  ∫12f(x)dx=∫1221xdx Putting value of k=21

                 =21[2x2]12

                 =21[24−21]