chapter6

# chapter6 - CHAPTER 6 CONTINUOUS PROBABILITY DISTRIBUTIONS...

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CHAPTER 6: CONTINUOUS PROBABILITY DISTRIBUTIONS Objectives: 1. Understand that the probability density function is an equation that gives a graph representing the histogram of the continuous random variable. 2. Be able to identify the characteristics of a normal distribution. 3. Understand that a standard normal distribution is one having a mean of 0 and a standard deviation of 1. 4. Understand how to convert a normal random variable to a standard normal random variable. 5. Understand that a z-score represents the number of standard deviations a random variable is from its mean.

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6. Be able to use the standard normal z- table to answer probabilities concerning any normal random variable.
I. Introduction A. Review - Chapter 5 covered discrete random variables and their probability distributions. In particular, a probability distribution provided a probability of occurrence for a particular discrete value, (i.e.: P(X=2)). B. However, for a continuous random variable, the situation is quite different. Recall that a continuous random variable may have any value within an interval of real numbers.

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1. Examples: height, weight, IQ, daily changes in closing of stocks, time between phone calls, customer service times, etc. 2.
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chapter6 - CHAPTER 6 CONTINUOUS PROBABILITY DISTRIBUTIONS...

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