The National Health Interview Survey reports that 41% of telephone users no long

Question

The National Health Interview Survey reports that 41% of telephone users no longer use landlines, and have switched completely to cell phone use. Suppose we take a random sample of 10 telephone users. Use the table below to answer the questions a-d a) Find the probability that the sample contains at most 4 users who have abandoned their landlines. b) Find the probability that the sample contains at least 5 users who have abandoned their landlines. c) Find the probability that the sample contains less than 4 users who have abandoned their landlines. d) Find the probability that the sample contains more than 6 users who have abandoned their landlines.

Explanation / Answer

a) from above given table:

P(X<=4)=0.0051+0.0355+0.1111+0.2058+0.2503=0.6078

b)P(X>=5)=1-P(X<=4)=1-0.6078=0.3922

c)P(X<=3)=0.0051+0.0355+0.1111+0.2058=0.3575

d)P(X>6)=0.0480+0.0125+0.0019+0.0001=0.0625

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