Andre W. answered • 10/17/13

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You will need the binomial distribution B(25,0.06;k) with probabilities P=C(25,k)*0.06

^{k}*0.94^{25-k}, where C(25,k) is the binomial coefficient.a) k=6, P=C(25,6)*0.06

^{6}*0.94^{19}=0.00255. If you have a TI-84 calculator, use the function binomialpdf(25,0.06,6).b) k≤2, P(k=0)+P(k=1)+P(k=2)=0.812. On the TI-84, use binomialcdf(25,0.06,2). (This is the cumulative distribution it adds up all values 0..k.)

c) Same as b) but with 0.06+0.095=0.155 instead of just 0.06. Use binomialcdf(25,0.155,2), get P=0.233.

Ryan S.

10/17/13