Answer the question. 5) Suppose that the Detroit Police Department did a study o

Question

Answer the question. 5) Suppose that the Detroit Police Department did a study on traffic violations and determined that the accompanying table describes the probability distribution for five randomly selected people, where x is the number that have received a speeding ticket in the last 2 years. Is it unusual to find five speeders among five randomly selected people? 0 0.08 0.18 2 0.25 3 0.22 4 0.19 5 0.0s Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 6) The Roseville police department reports that the probabilities that 0, 1,2, 3, and 4 car thefts will be reported in a given day are 0.135, 0.271, 0.271, 0.180, and 0.090, respectively. Provide an appropriate response. Round to the nearest hundredth. 7) It is reported that in Eastpointe MI 30% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution. x| P) 0 0.2401 1 0.4116 2 0.2646 3 0.0756 4 0.0081 Provide an appropriate response. 8) Suppose that in a game at Motor City Casino, you have a 1/28 probability of winning S$126 and a 27/28 probability of losing $8. What is your expected value?

Explanation / Answer

Ans:

5)As,P(x=5)=0.08,which is greater than 0.05,so this is not an unusual event.

6)As,for a valid proabability distribution,all probabilities over the sample space should sum up to 1

P(x=0)+P(x=1)+.....+P(x=4)=0.135+0.271+0.271+0.180+0.09=0.947,soit does not sum up to 1 and hence not a valid probability distribution.

7)Binomial distribution:

n=4,p=0.3

standard deviation=sqrt(4*0.3*(1-0.3))=0.9165

8)Expected value=(1/28)*126-(27/28)*8=-3.21

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