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Homework: Section 6.5 Homework Score: 0 of 1 pt 6.5.33 3 of 5 (1 complete) | HW

ID: 3063410 • Letter: H

Question

Homework: Section 6.5 Homework Score: 0 of 1 pt 6.5.33 3 of 5 (1 complete) | HW Score: 6.67%, 0.33 of 5 pt Question Help night, 1 out of every 10 drivers on the road is drunk. If 400 drivers are randomly checked next Saturday night, what is the probability that the number of drunk drivers will be (a) less than 24? (b) more than 497 (c) at least 48 but less than 59? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distrbution table (a) The probability is (Round to four decimal places as needed.)

Explanation / Answer

a) P(x<24)

Use excel function

BINOM.DIST(23,400,0.10,TRUE)

= 0.0017

b) P(x>49)

= 1-BINOM.DIST(49,400,0.10,TRUE)

= 0.0601

c) P(48<=x<59)

BINOM.DIST(58,400,0.10,TRUE)-BINOM.DIST(4,400,0.10,TRUE)

= 0.1059