16. -0.7 points BBUnderStat12 6.3.036.MI. My Notes Ask Your Teacher Attendance a

Question

16. -0.7 points BBUnderStat12 6.3.036.MI. My Notes Ask Your Teacher Attendance at large exhibition shows in Denver averages about 7800 people per day, with standard deviation of about 500. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) (a) What is the probability that the daily attendance will be fewer than 7200 people? (b) What is the probability that the daily attendance will be more than 8900 people? (c) What is the probability that the daily attendance will be between 7200 and 8900 people? Need Help? Mester

Explanation / Answer

a) P(X < 7200)

= P(z < (7200 - 7800)/500)

= P(z < -1.2)

= 0.1151

b) P(X > 8900)

= P(z > (8900 - 7800)/500)

= P(z > 2.2)

= 0.0139

c) P(7200 < X < 8900)

= 1 - 0.1151 - 0.0139

= 0.8710

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