Statistics released by a reputable traffic safety organization show that on an average weekend night, 1 out of every 10 drivers on the road is drunk. If 500 drivers are randomly checked next Saturday night, what is the probability that the number of drunk drivers will be

(a) more than 51?

(b) Data is collected from 100 Saturday nights where 500 drivers are randomly checked each night. What is the probability that there are more than 51 drunk drivers on at least 43 of these Saturday nights?

(Use a suitable approximation to solve this problem.)

Click here to view page 1 of the standard normal distribution table. LOADING...

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(a) The probability is ,..................

.

(Round to four decimal places as needed.)

(b) The probability is ......................

(Round to four decimal places as needed.