notes over 12.7 using a normal distribution area under a curve

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Notes Over 12.7 Using a Normal Distribution Using a Normal Distribution 34 . 135 . 34 . 0235 . Area Under a Curve Area Under a Curve 135 . 0235 . 0015 . 0015 .

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Page 1: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Using a Normal DistributionUsing a Normal Distribution

34.135.

34. 0235.

Area Under a CurveArea Under a Curve

135.0235.

0015.0015.

Page 2: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Using a Normal DistributionUsing a Normal Distribution

34.034.0135.0

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.

815.01. between 66 and 87

34.135.

34. 0235.135.

0235.

0015.0015. 80 87 94101736659

Page 3: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Using a Normal DistributionUsing a Normal Distribution

50.0

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.

975.02. at most 94

34.135.

34. 0235.135.

0235.

0015.0015. 80 87 94101736659

135.034.0

Page 4: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Using a Normal DistributionUsing a Normal Distribution

5.0

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?

25.0

34.135.

34. 0235.135.

0235.

0015.0015. 8 10 12 14642

5.0

Page 5: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Finding a Binomial ProbabilityFinding 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.

22

34.135.

34. 0235.135.

0235.

0015.0015.22 26 30 34181410

18.0120

4. What is the probability that you will find at most 30 patients with negative side effects?

npx pnp 1 82.06.21 4

50.0975.0

135.034.0

Page 6: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7Finding a Binomial ProbabilityFinding 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.

34.135.

34. 0235.135.

0235.

0015.0015.22 26 30 34181410

5. What is the probability that you will find at least 18 patients with negative side effects?

50.0 84.034.0

Page 7: Notes Over 12.7 Using a Normal Distribution Area Under a Curve

Notes Over 12.7

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