Concept explainers
Repeat Example 5 if the pharmacist wants the probability that the drug is still good to be .99.
Shelf Life The shelf life (in months) of a certain drug is a continuous random variable with probability density function (sec Fig. 3)
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- YOUR TURN Repeat Example 2 for a flashlight battery with a useful life given by the probability density function f(t)=125et/25fort0. EXAMPLE 2 Flashlight Battery Suppose the useful life in hours of a flashlight battery is the random variable T, with probability density function given by the exponential distribution f(t)=120et/20fort0. a Find the probability that a particular battery, selected at random, has a useful life of less than 100 hours. b Find the expected value and standard deviation of the distribution. c What is the probability that a battery will last longer than 40 hours?arrow_forwardYOUR TURN 1 Repeat Example 1 for the probability density function f(t)=83x3 on [1,2]. EXAMPLE 1 Expected Value and Variance Find the expected value and variance of the random variable x with probability density function defined by f(x)=(3/26)x2on[1,3].arrow_forward
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