Question 465006: K. Historically, the campus police write a ticket on 15% of the vehicles they stop on campus; violations include speeding, no valid sticker, illegal parking, etc. Student leaders will take a survey of 400 students who had been stopped by the campus police. What is the probability that 55 or more of these students have been issued a ticket? Note: Be sure to identify any assumptions or conditions needed
Found 2 solutions by stanbon, edjones:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Historically, the campus police write a ticket on 15% of the vehicles they stop on campus; violations include speeding, no valid sticker, illegal parking, etc. Student leaders will take a survey of 400 students who had been stopped by the campus police. What is the probability that 55 or more of these students have been issued a ticket? Note: Be sure to identify any assumptions or conditions needed
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Binomial Problem with n=400 and p = 0.15
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P(55<= x <=400) = 1-binomcdf(400,0.15,54) = 0.7774
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Cheers,
Stan H.
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Answer by edjones(8007)  (Show Source):
You can put this solution on YOUR website! 
z=(54.5-60)/7.14=-.77
Area under normal curve to the right of -.77 is .779 the probability that 55 or more of these students have been issued a ticket.
.
Ed
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