[1] The probability density function of a random variable X is = {c(x+4), -4 4.

Q: 10) Let f(x) by the probability density function of some continuous random variable. Explain why it…

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Q: A continuous random variable X has the probability density function 2 -(9 – x) if 0 < x < 9 81 f(x)…

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Q: Suppose there is a random variable X whose probability density function has the form (shown in…

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Q: The lung cancer hazard rate λ(t) of a t-year-old male smoker is such that λ(t) = 0.027 +…

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Q: =) Find u and o.

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Q: xample: A continuous random Variable x has X70 fx(x)= 120 0 Find the E(X). -ax X40 probability…

A: Solution

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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Q: x (10-x) Q1. Show that f (x) = ;0<x< 10; is a probability density function. 5000

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Q: b) Probability density function of continuous random variable X, 1 2.5) and P (X<1.5).

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Q: f (x) Suppose a continuous random variable X has the probability density K (1-x²) for 0 < x < 1, and…

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Q: c) A continuous random variable X takes values in the interval 1 < x< 3and the probability density…

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Q: f(x) = {o otherwise (a) Find the value of c which makes this a valid probability density function.…

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Q: The random variable X has probability density function 1 < x < 2 f(x) = otherwise. Calculate Var(4X…

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Q: (try) Example 41 A cortinuous random variable X has a probability density function f(x) as follows:…

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Q: Since the probability function of the continuous random variable X that does not take negative…

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Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: 2. Let X be a continuous random variable with probability density function (pdf) [3x² 0<x<1…

A: f(x)=3x2.       0&lt;x&lt;1 0.               OtherwiseWe have to find the probability density…

Q: C(4x – 2x2) 0 < x < 2 - f (x) = otherwise

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Q: a) A continuous random variable can be represented as X e R. (True/False).

A: As per guidelines we answer question only when multiple different question are given. Please post…

Q: SE (3x2 – 12x + 13) 0 3. Determine the value of P(-3 <X<1). (Give your answer to 3 decimal places.)

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Q: х3 (10-х) Q1. Show that f (x) = ; 0<x < 10; is a probability density function. (3marks) 5000

A: Q1. f(x) = x3(10-x)5000 ; 0≤x≤10

Q: Suppose that the continuous random variable X has cumulative distribution function given by F(x)=…

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Q: find the value K and F(x).

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Q: 16. For the probability density function shown, what is the probability of the random variable æ…

A: To find: The probability of the random variable x being less than 1/3 ?

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!