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HW p 219-221 10-32, 42-60 even

HW p 219-221 10-32, 42-60 even. 10.) 0.5987 26.) 0.9802 50.) 0.4495 12.) 0.8997 28.) 0.8320 52.) 0.4812 14.) 0.9599 30.) 0.0500 54.) 0.9500 16.) 0.0099 32.) 0.2030 56.) 0.7748 18.) 0.0010 42.) 0.6736 58.) 0.0500 20.) 0.006 44.)0.5987 60.) 0.0404 22.) 0.499 46.) 0.0016

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HW p 219-221 10-32, 42-60 even

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  1. HW p 219-221 10-32, 42-60 even 10.) 0.5987 26.) 0.9802 50.) 0.4495 12.) 0.8997 28.) 0.8320 52.) 0.4812 14.) 0.9599 30.) 0.0500 54.) 0.9500 16.) 0.0099 32.) 0.2030 56.) 0.7748 18.) 0.0010 42.) 0.6736 58.) 0.0500 20.) 0.006 44.)0.5987 60.) 0.0404 22.) 0.499 46.) 0.0016 24.)0.195 48.)0.0054

  2. Section 5.3 Normal Distributions Finding Probabilities

  3. Probabilities and Normal Distributions If a random variable, x is normally distributed, the probability that x will fall within an interval is equal to the area under the curve in the interval. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a person selected at random will have an IQ score less than 115. 100 115

  4. Probabilities and Normal Distributions If a random variable, x is normally distributed, the probability that x will fall within an interval is equal to the area under the curve in the interval. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a person selected at random will have an IQ score less than 115. 100 115 To find the area in this interval, first find the standard score equivalent to x = 115.

  5. Probabilities and Normal Distributions Normal Distribution Find P(x < 115). 100 115 Standard Normal Distribution SAME SAME Find P(z < 1). 1 0 P(z < 1) = 0.8413, so P(x <115) = 0.8413

  6. Application Normal Distribution Monthly utility bills in a certain city are normally distributed with a mean of $100 and a standard deviation of $12. A utility bill is randomly selected. Find the probability it is between $80 and $115.

  7. Application Normal Distribution Monthly utility bills in a certain city are normally distributed with a mean of $100 and a standard deviation of $12. A utility bill is randomly selected. Find the probability it is between $80 and $115. P(80 < x < 115) P(–1.67 < z < 1.25) 0.8944 – 0.0475 = 0.8469 The probability a utility bill is between $80 and $115 is 0.8469.

  8. 5-3 HW p225-227 2-20 even

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