Given the following probability distribution:      X      P(X)      10    0.1      20    0.4      30    0.2      40    0.3 What is the mean (expected value)?

Q: What is the standard deviation of the probability distribution below? x P(X = x) %3D 10.27 20.28…

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Q: Consider the following table:   Value of X Probability 0 1/16 1 1/4 2 e 3 1/4 4 1/16…

A: According to the given information, for part (1) it is required to calculate the value of e. Since,…

Q: 3 4 2. 2 3 10 10 P(X) 10 10 10 2.

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Q: 1. P(X) X · P(X) X - 4 (X – µ)² (X – µ)² · P(X) 2 1 3 10 1 3 10 What is mean of the probability…

A: Given, X P(X) X.P(X) X-μ X-μ2 X-μ2.P(X) 0 15 0 0-1.3=-1.3 1.69 0.338 1 25 25 1-1.3=-0.3 0.09…

Q: Complete the table below and find the mean and variance of probability distribution: 1. P(X) X P(X)…

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Q: Consider the following probability distribution: P(X) 1 0.1

A: Condition for valid distribution is  ∑PX=1

Q: Consider the following table: Value of X Probability -4 0.15 -2 d 1 0.3 2 0.3 1. What is the value…

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Q: Complete the following probability distribution table: P(X) -25 0.2 -15 0.15 13 0.15 18 37 0.12 90…

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Q: Given the following probability distributions below, find the mean, variance and standard deviation…

A: The table has to be obtained: X P(X) X·P(X) X2·P(X) 1 1/7 1/7 1/7 6 1/7 6/7 36/7 11 2/7…

Q: Given the following probability distribution:      X      P(X)      10    0.3      20    0.1…

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Q: Find the mean of X.

A: from given data : x 0 1 2 3 4 5 P(X=x) 0.30 0.25 0.20 0.15 0.05 0.05

Q: 3. X · P(X) (X – 4)? (х — и)2 . Р(X) X P(X) 1 0.11 0.40 7 0.30 10 0.19

A: According our policy we can answer only first question for remaining please repost the question.

Q: value of the random variable X?   X P(X) 100 .10 150 .20 200 .30 250 .30 300 .10 Sum 1.00 A) 175…

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Q: Given the following probability distribution, what is the expected value? Outcome P(Outcome) 0.20 13…

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Q: Given the following discrete probability distribution, P(x) 50 0.375 65 0.05 70 0.225 75 0.15 90…

A: The probability distribution is given.  A. The Expected value is given by, E(X) = ΣxP(x) =…

Q: Given the following probability distribution, what is the expected value (or mean)of X?…

A: Given the following probability distribution :                            X          P(X)…

Q: 1. What is the standard deviation of the probability distribution below? x P(X = x) 10.27 20.28…

A:

Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: Expected value of X= ∑x·P(X=x) X P(X) X*P(X) 100 0.1 10 150 0.2 30 200 0.3 60 250 0.3 75…

Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: The probability distribution table is,

Q: Find the mean of the following probability distribution? P(x) 0.0666 1 0.1178 0.1716 0.3764 0.2676…

A: Probability distribution table is given.

Q: Given the following relative-frequency table for the probability distribution of X, what are the…

A: The expected value is, μ=Ex=∑xPX=x=2×0.36+4×0.08+6×0.54+8×0.02=0.72+0.32+3.24+0.16=4.44 Thus, the…

Q: Complete the following probability distribution table: Probability Distribution Table X P(X) - 29…

A: From the provided information, x P (X = x) -29 0.4 16 0.1 20   28 0.2…

Q: Find the mean and variance of the given probability distribution. 1 6. 11 16 21 P(X) 1 1 7. 7. NIN

A: X P(X) X P(X) X2P(X) 1 17 17 17 6 17 67 367 11 27 227 2427 16 17 167 2567 21 27 427 8827…

Q: Given the following probability distribution, what is the expected value of the random variable X?…

A: Given Data :

Q: Given the following relative-frequency table for the probability distribution of X, what are the…

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Q: Given the following probability distribution, Find P(x=2) X 1 2 3 P(x=x) 0.2 0.05 P(x=2)= 4 0.2 5…

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Q: Complete the table below and find the mean, variance and standard deviation of the following…

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Q: Find the expectation, variance, and standard deviation of the following probability distribution: x…

A: Expectation=E(X)=∑i(xipi)=-1(0.3)+0(0.1)+1(0.1)+2(0.3)+3(0.2)=1

Q: Given the following probability distribution, what is the expected value? Outcome P(Outcome) 20 0.15…

A: To find the expected value.

Q: For the joint probability distribution below, the value of g(1)=* Y= 1 2 0 1/6 X= 1 1/3 1/6 2 1/12…

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Q: s the following a Probability Distribution? 1 P(X=x) 0.45 0.35 0.28 -0.12

A: Any real function defined from a sample space corresponding to the probability is known as random…

Q: Consider the probability distribution below. x f(x) 10 .2 20 .3 30 .4 40 .1 ​ The…

A: expected value of x =E(x) =Σx f(x)

Q: Consider the following probability distribution: 0. 1 4 p(x) 1/3 /3 1 /3

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Q: Complete the following probability distribution table: Probability Distribution Table P(X) X 10 0.1…

A: We know that total probabilityis equal to 1.

Q: Given the following relative-frequency table for the probability distribution of X, what are the…

A: Given a relative - frequency table.  We need to find the expected value and the standard deviation…

Q: Given the following probability distribution, Find P(x-2) 3 4 P(x=x) 0.2 0.05 0.2 0.25 P(x-2)%=D

A: In general, the total probability is always 1.

Q: Can the following table be a probability distribution? P(x) 0.1758 2 0.0463 0.3103 4. 0.2778 0.0826…

A: We have given that  X 1 2 3 4 5 P(x) 0.1758 0.0463 0.3103 0.2778 0.0826

Q: Given the following probability distribution, what is the expected value? Outcome P(Outcome) 20 0.15…

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Q: 3. Given the following relative-frequency table for the probability distribution of X, what are the…

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Q: For each of the following probability distributions, calculate the expected value and standard…

A: Solution foe each is as follows,

Q: 6) Given the following probability distribution, what is the expected value (or mean) of X?  Round…

A: Given data and calculation for expected value is shown below

Q: Calculate the expected value of X, E(X), for the given probability distribution. 2 4 6. 8 6. 12 P(X…

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Q: Suppose you are given the following probability distribution:  x               f(x) 100…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Consider the following probability distribution: X P(X) 1 0.1 2 ? 3 0.2 4 0.3   What is the mean…

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Q: 3. Number of monthly absences of Juan Dela Cruz based on his previous records of absences as…

A: Let X be the random variable having probability mass function is,  Number of absence (X)  percent…

Q: Complete the following probability distribution table: P(X) -23 0.17 12 0.13 20 36 0.2 62 0.2 77…

A: Given, The Probability distribution table. Let the missing probability is x.

Q: X P(X) X · P(X) (х — и)2 (X – µ)² · P(X) 0.05 10 0.34 15 0.26 20 0.25 25 0.10

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Q: Complete the following probability distribution table: Probability Distribution Table X P(X)…

A: Given that,

Q: 3. Find the mean, variance and standard deviation of the following probability distribution. P(x) 1…

A: (3)  Let X be the random variable having probability mass function is,  X p(x)  1 0.15 2 0.30…

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!