Let X be a random variable with the following probability distribution. Value  x  of  X P=Xx 20 0.35 30 0.10 40 0.25 50 0.30 Complete the following. (If necessary, co

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X=x) 10…

A: Let  be a random variable with the following probability distribution.Value x of…

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Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X = x) 20…

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Q: (a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X.

A: The E(X) is defined as E(X) = ∑x.P(X = x) And variance of X is  V(X) = E(X2) - (E(X))2

Q: a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X. Var (x) = 0

A: Here given discrete probability distribution of x  Here use expected value and Variance formula

Q: 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E…

A: It is given that the random variable X with probability distribution function.

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A: The given probability distribution of  is:Value  of 00.110.520.0530.140.1550.1

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.05…

A: Given: Let X be a random variable .

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Q: Let X be a random varlable with the following probability distribution. Value x of X P (X=x) 10 0.10…

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.45…

A: Let X be the random variable having probability distribution is,  X P(X=x)  30 0.45 40 0.15…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 -20…

A: Probability distribution of X : X P(X=x) -30 0.1 -20 0.45 -10 0.2 0 0.1 10 0.15

Q: a) Find the expectation E (X) of X. E (x) = [] %3D b) Find the variance Var(X) of X. Var(X) Var (X)…

A: Consider the table ,  x P(x) x*P(x) x^2*P(x) 30 0.05 1.5 45 40 0.3 12 480 50 0.1 5 250 60…

Q: Value x of X P(X=x) 20 0.25 30 0.15 40 0.20 50 0.10 60 0.30 Complete the following. (If necessary,…

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Q: (a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X. Var(X) = 0 %3D

A: Given: x p(x) 40 0.05 50 0.25 60 0.25 70 0.05 80 0.35 90 0.05 Total 1

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: There are 6 values of x are given. The probability values are given for those x values. We have to…

Q: how do i find the (x) ?

A: The given data is,

Q: Let X be a random variable with the following probability distribution. Value X of X 10 ZO 30 40 4 P…

A: X P(X=x) 10 0.05 20 0.35 30 0.55 40 0.05

Q: Let X be a random variable with the following probability distribution. Value X of X P(X=x) 0 10 20…

A: Consider the preliminary calculations given below: Value x of…

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Q: 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c,…

A: The provided information is as follows:The  is a random variable with the probability density…

Q: Let X be a random variable with the following probability distribution. Valuex of X 0 10 20 30 40 50…

A: To find: 1. Expected value: E(X) 2. Variance of X : VAR(X)

Q: 54°F Cloudy Let X be a random variable with the following probability distribution. Value x of X…

A: Step 1:XP(x)xP(x)x2P(x)-200.40-8160-100.15-1.51500.4000100.050.505  Step 2: The Expected…

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Q: Let X be a random variable with the following probability distribution Value x of X P(X=x) 30 40 50…

A: a)The probability distribution of random variable x is given.

Q: et X be a random variable with the following probability distribution. Question table Value x of X…

A: E[x] = ∑xp(x)

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.30…

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Q: Let A be a random varlable with the following probability distribution. Value x of X P (X=x) -1 0.05…

A: Given that  The probability distribution table  X -1 0 1 2 P(X)  0.05 0.50 0.35 0.10   We…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 4 5 6 7…

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: Let X be the random variable having probability distribution is,  X -20 -10 0 10 20 P(X=x)…

Q: Let X be a random variable with the following probability distribution. Valuex of X 40 50 60 70 80…

A: Given data is Value x of X P(X=x) 40 0.15 50 0.15 60 0.25 70 0.30 80 0.05 90 0.10

Q: (a) Find the expectation E (X) of X. E (x) = [] (b) Find the variance Var(X) of X. Var(x) = D %3D

A: Here given discrete probability distribution of X

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Q: Y, (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) =

A: Answer X          P[x] 20       0.1530       0.2040       0.1050       0.1060       0.1070…

Q: Calculate the expected value of X, E(X), for the given probability distribution. E(X) = X P(X = X)…

A: It is given that the proportion distribution of X in tabulation form.

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.40…

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Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X =x) 0…

A: The probability distribution for random variable X is given.

Q: Let X be a random variable with the following probability distributio Value x of X 20 30 40 50 60 70…

A: Value x of X P(X=x)200.30300.10400.05500.40600.10700.05

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!