statistics multiple choice 6) According to the Census Bureau, deaths in the Unit

Question

statistics multiple choice

6) According to the Census Bureau, deaths in the United States occur at a rate of 2,425,000 per year. The National Center for Health Statistics reported that the three leading causes of death during 1997 were heart disease (725,790), cancer (537,390), and stroke (159,877). Then the probability that someone dies from a cause other than one of these three is d) 0.67 b) 0.41 a) 0.23 c) 0.59 7) Suppose at a supermarket, the number of customers that come to a check out lane during 1 hour is described by a Poisson distribution with a mean of 50 customers per hour, then the time (in minutes) a checkout lane is idle between customers at a supermarket follows an exponential probability distribution with a mean of minutes. b) 10 c) 1.2 d) 1.5 a) 5

Explanation / Answer

6) Number of death in 1997 due to other reasons = 2,425,000 - 725,790 - 537,390 - 159,877 = 1,001,943

Probability of death due to other reasons = Number of deaths due to other reasons / Total deaths
= 1001943/2425000 = 0.41

7) poisson distribution mean = = 50 customer/hour = 5/6 customers/min
mean of exponential distibution = 1/ = 1/(5/6) = 6/5 = 1.2 minutes

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