The actual tracking weight of a stereo cartridge that is set to track at 3 gm on a particular change can be regarded as a continuous r.v. X with pdf Sk{1-(x-3)² } 2

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Q: A particular fruit's weights are normally distributed, with a mean of 583 grams and a standard…

A: Mean = 583 Standard deviation = 35 Sample size = 18

Q: The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer…

A: Find the value of kTo find the value of k, we use the property that the total area under the…

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A:

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

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A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: Use Microsoft Excel to estimate the derivative of the following function: f(x) = x²+x²-3x-1 Note…

A: Given fx=x3+x2-3x-1. Its analytical derivative is f'x=3x2+2x-3. The First-order, forward-looking…

Q: Differentiate log(x² + 1)². O 2x (x2 + 1) ln 10 O 4x(x² + 1) In 10 4(x2 + 1) In 10 O (x² + 1) ln 10…

A: see below the answer and calculation

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Q: If f has a derivative at x = 2, then f is continuous at x = = 2. True False

A:

Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: Use Gamma Function to evaluate dx

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!