Questions from Calculus


Q: Consider a circle with circumference 1. An arrow (or spinner

Consider a circle with circumference 1. An arrow (or spinner) is attached at the center so that, when flicked, it spins freely. Upon stopping, it points to a particular point on the circumference of t...

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Q: A citrus grower anticipates a profit of $100,000 this

A citrus grower anticipates a profit of $100,000 this year if the nightly temperatures remain mild. Unfortunately, the weather forecast indicates a 25% chance that the temperatures will drop below fre...

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Q: Suppose that the weather forecast in Exercise 9 indicates a 10%

Suppose that the weather forecast in Exercise 9 indicates a 10% chance that cold weather will reduce the citrus grower’s profit from $100,000 to $85,000 and a 10% chance that cold weather will reduce...

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Q: Find the value of k that makes the given function a probability

Find the value of k that makes the given function a probability density function on the specified interval. f (x) = kx2(1 - x), 0 ≤ x ≤ 1

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Q: Find the value of k that makes the given function a probability

Find the value of k that makes the given function a probability density function on the specified interval. f (x) = k(3x - x2), 0 ≤ x ≤ 3

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Q: The density function of a continuous random variable X is f (

The density function of a continuous random variable X is f (x) = 1/8 x, 0 ≤ x ≤ 4. Sketch the graph of f (x) and shade in the areas corresponding to (a) Pr (X ≤ 1); (b) Pr (2 ≤ X ≤ 2.5); (c) Pr (3....

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Q: A service contract on a computer costs $100 per year.

A service contract on a computer costs $100 per year. The contract covers all necessary maintenance and repairs on the computer. Suppose that the actual cost to the manufacturer for providing this ser...

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Q: The density function of a continuous random variable X is f (

The density function of a continuous random variable X is f (x) = 3x2, 0 ≤ x ≤ 1. Sketch the graph of f (x) and shade in the areas corresponding to (a) Pr (X ≤ .3); (b) Pr (.5 ≤ X ≤ .7); (c) Pr (.8...

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Q: Find Pr(1 ≤ X ≤ 2) when X is

Find Pr(1 ≤ X ≤ 2) when X is a random variable whose density function is given in Exercise 1. Exercise 1: f (x) = 1/18 x, 0 ≤ x ≤ 6

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Q: Find Pr (1.5 ≤ X ≤ 1.7

Find Pr (1.5 ≤ X ≤ 1.7) when X is a random variable whose density function is given in Exercise 2. Exercise 2: f (x) = 2(x - 1), 1 ≤ x ≤ 2

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