Consider a population that is described by a random variable that takes the valu

a) P( x > 0.6 ) = 0.2 b) P( x > 0.6 ) = 0.2 / 2 0.1 c) P( x > 0.6 ) = 0.2 / 100 = 0.002

ID: 3158238 • Letter: C

Question

Consider a population that is described by a random variable that takes the values .2 and 1.7 with probabilities .8 and .2 respectively.

a) If a single sample is drawn at random from this population, find the probability that its value will exceed .6

b) If two samples are drawn independently at random from this population, find the exact probability that their average value will exceed .6

c) If 100 samples are drawn independently at random from this population, estimate the probability that their average value will exceed .6

P( x > 0.6 ) = 0.2

P( x > 0.6 ) = 0.2 / 2 0.1

P( x > 0.6 ) = 0.2 / 100 = 0.002

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