8. A limousine has eight tires on it. A fleet of such limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the probability distribution of the number of defective tires on this fleet of limos where xx represents the number of defective tires on a limo and P(x) is the corresponding probability. [See Section 5.3 in the text].x012345678P(x).0448.1723.2838.2669.1569.0585.0139.0015.0015Calculate the mean and standard deviation of this probability distribution. (Show your work and round your answer to two decimal places).Mean = ________________________Standard Deviation = ________________________9. Assume you have a discrete random variable from a binomial distribution. Using the binomial formula, find the following probabilities. [See Section 5.4.3 in the text].a) For n=8 and p=.70 P(5) = ________________________b) For n=4 and p=.40 P(3) = ________________________Verify your answers by using Table I of Appendix B.10. Let x be a discrete random variable that possesses a binomial distribution. [See Section 5.4.5 in the text] [Verify your answer using section 5.3]. (Show your work and round your answer to two decimal places).Mean = ________________________Standard Deviation = ________________________

8. A limousine has eight tires on it. A fleet of such limos was fit with a batch of tires that mistakenly passed quality testing. The following table lists the probability distribution of the number of defective tires on this fleet of limos where xx represents the number of defective tires on a limo and P(x) is the corresponding probability. [See Section 5.3 in the text].x012345678P(x).0448.1723.2838.2669.1569.0585.0139.0015.0015Calculate the mean and standard deviation of this probability distribution. (Show your work and round your answer to two decimal places).Mean = ________________________Standard Deviation = ________________________9. Assume you have a discrete random variable from a binomial distribution. Using the binomial formula, find the following probabilities. [See Section 5.4.3 in the text].a) For n=8 and p=.70 P(5) = ________________________b) For n=4 and p=.40 P(3) = ________________________Verify your answers by using Table I of Appendix B.10. Let x be a discrete random variable that possesses a binomial distribution. [See Section 5.4.5 in the text] [Verify your answer using section 5.3]. (Show your work and round your answer to two decimal places).Mean = ________________________Standard Deviation = ________________________