Math 135 Week 12 Lecture Notes Bittenger 10th

F x ba example 5 the probability density function for

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Unformatted text preview: ween 5 and 7 minutes. c. Find the probability that the time between trains is between 8 and 10 minutes. Uniform Distributions DEFINITION: A continuous random variable x is said to be uniformly distributed over an interval [ a, b ] if it has a probability density function f given by 1 , for a ≤ x ≤ b . f ( x) = b−a Example 5: The probability density function for the weight x , in pounds, of bags of feed sold at a feedstore is f ( x ) = 1 , for 45 ≤ x ≤ 53 . A bag is selected at random. Find the probability the bag 8 weighs between 47.5 and 50.25 pounds. Math 135 Class Notes – Week 12 Bittenger 10th Ed. 4 Exponential Distributions DEFINITION: A continuous random variable is exponentially distributed if it has a probability density function of the form f ( x ) = ke− kx , over the interval [ 0, ∞ ) . Example 6: The response time for a paramedic unit has the probability density function f ( t ) = 0.05256 e−0.05 t , for 1 ≤ t < ∞ , where t is in minutes. Find the proba...
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