Tony runs a cell phone kiosk in the mall and has 220 potential customers each day....
Tony runs a cell phone kiosk in the mall and has 220 potential customers each day. He has a 6 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities. Round to 4 decimal places.
a. The probability that he makes AT LEAST 14 sales
b. The probability that he makes AT MOST 12 sales
Homework Answers
a)
| n= | 220 | p= | 0.0600 |
| here mean of distribution=μ=np= | 13.2 | ||
| and standard deviation σ=sqrt(np(1-p))= | 3.5225 | ||
probability that he makes AT LEAST 14 sales
| probability = | P(X>13.5) | = | P(Z>0.09)= | 1-P(Z<0.09)= | 1-0.5359= | 0.4641 |
b)
probability that he makes AT MOST 12 sales :
| probability = | P(X<12.5) | = | P(Z<-0.2)= | 0.4207 |
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