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Notes Over 12.7 Using a Normal Distribution Area Under a Curve .34 .34 .0235 .135 .0015 .0235 .135 .0015 Notes Over 12.7 Using a Normal Distribution A normal distribution has a mean of 80 and a standard deviation of 7. Find the probability that a randomly selected x-value is in the given interval. 1. between 66 and 87 0.135 0.34 0.34 0.815 .34 .34 .0235 .135 59 66 .0015 .0235 .135 73 80 87 94101 .0015 Notes Over 12.7 Using a Normal Distribution A normal distribution has a mean of 80 and a standard deviation of 7. Find the probability that a randomly selected x-value is in the given interval. 2. at most 94 0.50 0.34 0.135 0.975 .34 .34 .0235 .135 59 66 .0015 .0235 .135 73 80 87 94101 .0015 Notes Over 12.7 Using a Normal Distribution 2. The waiting time for drive through customers at a certain bank during the busiest hours is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. What is the probability that the next two customers will wait longer than 8 minutes? 0.5 0.5 0.25 .34 .34 .0235 .135 .0235 .135 2 .0015 .0015 4 6 8 10 12 14 Notes Over 12.7 Finding a Binomial Probability A scientist claims that 18% of all patients with high blood pressure have negative side effects from a certain kind of medicine. There are 120 patients in a random study. 4. What is the probability that you will find at most 30 patients with negative side effects? x np 120 0.18 22 np1 p 21.60.82 4 0.50 0.34 0.135 .34 .34 .0235 .135 .0235 .135 10 26 18 30 34 22 14 .0015 .0015 0.975 Notes Over 12.7 Finding a Binomial Probability A scientist claims that 18% of all patients with high blood pressure have negative side effects from a certain kind of medicine. There are 120 patients in a random study. 5. What is the probability that you will find at least 18 patients with negative side effects? 0.50 0.34 0.84 .34 .34 .0235 .135 .0235 .135 10 26 18 30 34 22 14 .0015 .0015 Notes Over 12.7

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