Sports betting has become so rampant that bets are even placed on how long the s

Question

Sports betting has become so rampant that bets are even placed on how long the singing of the National Anthem will take at the beginning of a sports contest. Suppose that these times follow a normal distribution with mean 98 seconds and standard deviation 11 seconds.

Round your answers to four decimal places.

a. Determine the probability that a randomly selected singing of the national anthem would take more than 2 minutes (120 seconds)

b. Determine the probability that a randomly selected singing of the national anthem would take less than 1 minute (60 seconds)

Explanation / Answer

Mean is 98 and SD=11

A. P(x>120)=P(z>(120-98)/11)=P(z>2)

Or 1-P(z<2)

From normal table this gives 1-0.9772=0.0228

B. P(x<60)=P(z<(60-98)/11)=P(z<-3.45) or 1-P(z<3.45)

From normal distribution table it gives 0

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