In the past four years, 40% of Denver motorists have purchased a new vehicle. Su

Question

In the past four years, 40% of Denver motorists have purchased a new vehicle. Suppose 5 Denver motorists are selected at random and consider them to be independent. (2 points each) 3. Find the probability that exactly 2 have purchased a new vehicle during the past four years. Find the probability that at least 1 has purchased a new vehicle during the past four years. a. b. A single $25,000 prize is awarded for a drawing in which a total of 2,500 tickets were sold at $10 each. Find the expectation of the gain for a person who buys ten tickets and provide a probability distribution. (3 Points) 5. 6. Find the corresponding probabilities and provide a picture for each scenario. (2 points each) a. PC-1.72z0.68) b. P(z> -0.34) C. P(z 0.25)

Explanation / Answer

Ans:

3)Binomiald diatribution with n=5,p=0.4

a)P(x=2)=5C2*0.42*0.63

=0.3456

b)P(x>=1)=1-P(x=0)=1-0.65=0.9222

6)a)P(-1.72<z<0.68)=P(z<0.68)-P(z<-1.72)=0.7517-0.0427=0.7090

b)P(z>-0.34)=P(z<0.34)=0.6331

c)P(z<-2.01 or z>0.25)=P(z<-2.01)+P(z>0.25)=0.0222+0.4013=0.4235

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