1. PROBABILITY AND STATISTICS
WEEK 6
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2. Continuous Random Variables and Probability Distributions
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3. Example
Suppose that the probability density function of X is; Determine P(X < 2) , P(2 ≤ X < 4) , and P(X≥4)
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4. Cumulative Distribution Functions
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5. Example
Determine the cumulative distribution function of X. (for previous question)
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6. Mean and Variance of a Continuous Random Variable
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7. Example
Determine the mean, variance, and standard deviation of X. (for previous question)
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8. Continuous Uniform Distribution
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9. The Exponential Distributions
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10. Example
The number of customers who come to a donut store follows a Poisson process with a mean of 5 customers every 10 minutes.
Determine the probability density function of the time (X; unit: min.) until the next customer arrives.
Find the probability that there are no customers for at least 2 minutes by using the corresponding exponential and Poisson distributions.
How much time passes, until the next customer arrival
Find the variance?
Onur Doğan