Find the mean, variance and the standard deviation of the following probability АСTIVITY 3: distributions. X Р (X) 1 0.238 2 0.290 3 0.177 4 0.158 5 0.137

Q: e. Find the standard deviation of the random variable X.

A: A random Sample of 200 residents; n=200 p=0.254

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A: We have given that Values of x -1 0 1 ProbabilityP(x) 0.22 0.56 0.22

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A: Let X be the random variable having probability mass function is,  X 1 2 3 4 5 P(x)  0.10 0.25…

Q: Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

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A: Given that, The random variable X, representing the number of errors per 100 lines of software code,…

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Q: 12. Given the following discrete probability distribution, P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

A: (a) Obtain the expected value of X. The expected value of X is obtained below as follows : The…

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given:  X 2 3 4 5 6 FX 0.01 0.25 0.4 0.3 0.04   Formula: Meanμ =∑X PX Variancex=∑i=1nX-μ2…

Q: Find the mean, variance and standard deviation for the probability distribution given below:   X…

A: Compute the mean for the probability distribution. From the information, given that the probability…

Q: B. Find the variance and standard deviation of each of the fallowing probability distribution. 1. 2…

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Q: The probability distribution of a random variable X is given in the table below: -4 -2 4 .1 P(X = =)…

A: The probability at different values of x is given in the table of problem. The mean or expected…

Q: Find the variance and standard deviation of each probability distribution. a. 2 3 P(x) 0.10 0.45…

A: V(X)=E(X2)-[E(X)]2 Sd(x)=√V(X)

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A:

Q: If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then…

A: Given that, Mean = 10 Standard deviation = 4

Q: 14. Calculate the variance of the following probability distribution function (pdf) for the discrete…

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Q: Find the variance of the following discrete probability distribution. Formula in the image attached…

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Q: 3. Given the following discrete probability distribution, x P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

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A: The random variable X denotes the number of persons entering the bank every hour during a span of…

Q: Find the variance and standard deviation of X

A: The variance can be calculated as V(X) = E(X2) - [E(X)]2

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Q: Find the mean and standard deviation for the probability distribution below. Round to two decimal…

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A: We have given the probability distribution of random variable x.

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Q: find the following probability. P(25<x<32)

A: Given that X follows N(mean = 25, SD = 4), then Z = (X - mean)/SD follows N(0,1)

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Q: Let X be a random variable with the following probability distribution: - 4 3 5 f(x) 0.6 0.3 0.1…

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Q: Find the standard deviation of X. O 0.86 O 0.92 O 0.98 O 0.79

A: We have given that the random variable X representing the number of errors per 100 lines of software…

Q: For a normally distributed variable X with mean 40 and standard deviation 10, what is the…

A: P(X ≥ x ) = P(X &gt;x) + P(X =x)                 = ∫x∞f(x)dx + 0

Q: Consider the probability distribution function: X: 1 Probability: 0.2 0.7 0.1 For the above…

A: Given Data: X P(X) X P(X) X2 P(X) 0 0.2 0 0 1 0.7 0.7 0.7 2 0.1 0.2 0.4     ∑X P(X)=0.9…

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A: Introduction:  Standard deviation: Standard deviation is the tool for measuring the variability of…

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A: For the given data S.D =?

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A: The mean of the variable X obtained as given below: Here, X denote the observation.

Q: Find the mean, variance and standard deviation for the probability distribution given below:   X…

A: The table shows the x value and its probabilities.

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A: Given data is  x 0 1 2 3 4 5 probability 0.15 0.29 0.25 0.18 0.10 0.03

Q: a) Calculate the standard deviation of the following estimated probability distribution of hurricane…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The following table provides a probability distribution for the random variable x. x f(x)…

A: The provided table for probability distribution is:

Q: Let X be a random variable with the following probability distribution. Calculate the following…

A: X 4 5 6 7 8 9 P(X=x) 0.60 0.10 0.05 0.15 0.05 0.05