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Insurance Sales The amount of insurance (in thousands of dollars) sold in a day by a particular agent is uniformly distributed over the interval $[10,85]$ . a. What amount of insurance does the agent sell on an average day?b. Find the probability that the agent sells more than $\$ 50,000$ of insurance on a particular day.
a. $\$ 47,500$b. 0.4667
Calculus 1 / AB
Chapter 18
Probability and Calculus
Section 3
Special Probability Density Functions
Continuous Functions
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Okay, So when If we have a uniform random variable, we know that the expected value is directly in the mid. So halfway between 45 10 would be 95/2, which is 47.5. So are expected. X is 47,000 500 here, um, the probability that X is greater than 50. We would just go and find 50. And we want the portion of our rectangle here. So, uh, if we find the area of that, that's pretty easy to calculate that it will be a 0.4667 And so these are our two answers.
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