Given the following probability distribution, what is the expected value of the random variable X? P(X) 100 .10 150 .20 200 .30 250 .30 300 .10 Sum 1.00

Q: Given the following probability distribution:      X      P(X)      10    0.1      20    0.4      30…

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

Q: Determine the mean, variance and standard deviation of the probability distribution following Number…

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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 discrete probability distribution: 15 22 34 40 P(X=x) 0.14 0.40 0.26 0.20 a.…

A: Hey there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

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: 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: ind the mean, variance, and standard deviation of ?. What is the probability that ? falls within the…

A: The probability distribution table is given below ,  x P(x) x*P(x) x2*P(x) 10 0.25 2.5 25 29…

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

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

A: Given, X 1 2 3 4 P(X) 0.1 x 0.2 0.3

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: If the probability distribution for the random variable X is given in the table, what is the…

A: According to the given information, we have The probability distribution table is given by, xi -5…

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: Given the following probability distribution for the variable x, compute the expected value and…

A: The given probability distribution table is, The Expected value of X is,

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

A: The probability distribution table is,

Q: What is the expected value of the probability distribution of the discrete random variable X? x P(X…

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Q: Consider the following probability distribution for a random variable X : X 3 4 6 7 Р(X) 0.15 0.10…

A: Given, P(X≤5.5)=?

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: What are the probabilities of the following events? Using the standard normal distribution table a.…

A: Givena)-0.94≤z≤1.16

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

A: The objective is to find the expected value and standard deviation.

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

A: Given Data :

Q: -1 3 4 P(x) 0.02 0.07 0.22 0.27 0.42 No Yes

A: Probability distribution table is given.

Q: Find the following probability by using Standard Normal distribution table: 1. P(-1.27 -2.64) 3.…

A: The given probabilities are 1. P-1.27<Z≤0 2. PZ>-2.64 3. PZ≤0.96 4. P-2.31<Z≤0.82 5.…

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

A: To find the expected value (or mean)of X for the given probability distribution…

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

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Q: Consider the probability distribution for a discrete random variable X given in Table 2. 10 20 30 40…

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Q: 5. 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) 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: Consider the following probability distribution; determine the standard deviation. Probability 0.15…

A: Given information- We have given the probability distribution for X. We have to find the standard…

Q: Find the expected value of the random variable X, where the probability distribution of X is given…

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

A:

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

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Q: Find the mean of the following probability distribution? Round your answer to four decimal places.…

A: Given, x P(x) 0 0.2173 1 0.146 2 0.1509 3 0.2399 4 0.2459

Q: Determine the mean, variance and standard deviation of the probability distribution following Number…

A: Given PMF of X. Now will using this pmf to find required information. x = [0,1,2,3,4] p(x) =…

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: What is the expected value of the probability distribution of the discrete random variable X? x P(X…

A: Given:  A probability distribution of discrete random variable X. x 1 3 5 7 9 11 13 P(X=x) 0.23…

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: 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: The table below was generated from a survey of college students. The random variable x represents…

A: We have given that,  X is random variable having probability distribution,  x       : 0         1…

Q: Calculate the expected value of X, E(X), for the given probability distribution. 1 2 3 4 P(X = x)…

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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!