Worked out steps for A.) and B.) · 24points-5 points each The d istribution of t

Question

Worked out steps for A.) and B.)

· 24points-5 points each The d istribution of tree species in an interior BC forest is: maple aspen fir spruce pine 10% 25% 5 20% 15% 30% If you have one (1) tree of each species, how many ways can three (3) species be randomly selected? What is the probability of randomly selecting a softwood (fir, spruce or pine)? If 10 trees are randomly sampled, what is the probability of selecting the second hardwood maple or aspen on the tenth tree? c) Vd) If 10 trees are randomly sampled, what is the probability of selecting two (e) or more maples? nswar Keys: (a 7. 10 points A small woodlot owner has a $10,000,000 fire insurance policy. Past evidence shows that forests in that area may sustain losses from fire in any given year with the following probabilities: total loss 50% loss 25% loss 0.00005 0.0001 0.0002 nstruct a probability distribution with loss in dollars, as the random variable. How much money would the woodlot owner expect to lose (due to fire) in any given year? 0% 25% 100

Explanation / Answer

a) number of ways to select 3 out of 5 =5P3 =5!/((5-3)!) =120/(2) =60

b) P(slecting a softwood) =P(fir)+P(spruce)+P(pine) =0.2+0.15+0.3 =0.65

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