3. The probability distribution of the discrete random variable X is f(x) = 2 x 1...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X.
4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ).
5. Use the distribution from Problem 4. (a) Find the variance of X, V(X). (b) Find the standard deviation of X, SD(X).
6. Use the distribution from Problem 4. Suppose g(X) = (3X − 1)2 . Find E[g(X)].
Homework Answers
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3. The probability distribution of the discrete random variable
X is f(x) = 2 x 1...
number 5 please . The random variable X, representing the number of errors per 100 lines...
number 5 please
. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: )0.03 0.37 0.2 0.25 0.15 (a) Find EX (b) Find E(x2) 5. Use the distribution from Problem 4. (a) Find the variance of X. V(X). (b) Find the standard deviation of X, SD(x)
Please help Stats 2. The random variable X, representing the number of errors per 100 lines...
Please help Stats
2. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: 2 f(x) 2 0.11 5 7 8 10 0.27 0.16 0.14 0.32 (c) Suppose g(X) = (3X – 1)2. Find E[9(X)] (a) Find E(X). (b) Find E(X). 3. Use the distribution from Problem 2. (a) Find the variance of X, V(X). (b) Find the standard deviation of X, SD(X). (c) Find V(-3X). (d) Explain why V(X)...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
A discrete random variable X is defined by the following probability distribution X 2 7 9...
A discrete random variable X is defined by the following probability distribution X 2 7 9 10 P ( X = x ) 0.08 0.12 0.38 0.42 Find the following : μ = E ( X ) E(X^2) . E ( 2X + 3 ) E ( 4X − 8 ) σ ^2 = Var ( X ) σ = SD ( X )
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X =...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
3. The probability distribution of the discrete random variable X is -G) 0123 3-х f(x)- Find...
3. The probability distribution of the discrete random variable X is -G) 0123 3-х f(x)- Find the mean of X
The table below shows the probability distribution of a discrete random variable X. Values of the...
The table below shows the probability distribution of a discrete random variable X. Values of the random variable X (x) Probability of observing each value of X P(X = x) 6 0.20 7 0.25 8 0.25 9 0.10 10 0.12 11 0.08 Total 1.00 (a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark (b) Determine the probability that the random variable X is at least 9. (1 mark) c. Determine the probability...
The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is
The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5, 6. What is the mean of the distribution of X? The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5,...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 1) Find P(x<2) Please use up to 4 decimal places and use the proper uses of rounding. Excel can be a helpful calculator in these problems. 2) Find the expected value (mean) of this discrete random variable. Please use up to 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator...
using excel answer the problem below Let X be a discrete random variable having following probability...
using excel answer the problem below
Let X be a discrete random variable having following probability distribution. x 2 4 6 8 P(x) 0.2 0.35 0.3 0.15 Complete the following table and compute mean and variance for X x P(x) x· P(x) x2. P(x) 2 0.2 4 0.35 6 0.3 8 0.15 Total 1 Expected value E(X) = u = Variance Var = o2 =
number 5 please
. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: )0.03 0.37 0.2 0.25 0.15 (a) Find EX (b) Find E(x2) 5. Use the distribution from Problem 4. (a) Find the variance of X. V(X). (b) Find the standard deviation of X, SD(x)
Please help Stats
2. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: 2 f(x) 2 0.11 5 7 8 10 0.27 0.16 0.14 0.32 (c) Suppose g(X) = (3X – 1)2. Find E[9(X)] (a) Find E(X). (b) Find E(X). 3. Use the distribution from Problem 2. (a) Find the variance of X, V(X). (b) Find the standard deviation of X, SD(X). (c) Find V(-3X). (d) Explain why V(X)...
3. The probability distribution of the discrete random variable X is -G) 0123 3-х f(x)- Find the mean of X
using excel answer the problem below
Let X be a discrete random variable having following probability distribution. x 2 4 6 8 P(x) 0.2 0.35 0.3 0.15 Complete the following table and compute mean and variance for X x P(x) x· P(x) x2. P(x) 2 0.2 4 0.35 6 0.3 8 0.15 Total 1 Expected value E(X) = u = Variance Var = o2 =
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