1)
Expected Number of Errors E(x) = sum of x*f(x)
E(x) = 0*0.05+1*0.30+2*0.40+3*0.15+4*0.10
E(x) = 1.95
2)
Variance V(x) = Sum of x^2*f(x)
V(x) = 0^2*0.05+1^2*0.30+2^2*0.40+3^2*0.15+4^2*0.10
V(x) = 4.85
SD = (V(x)^(1/2)
SD = (4.85)^(1/2)
SD = 2.20
3)
P(X>=3) = 1 - P(X<3)
P(X>=3) = 1 - P(X =0) - P(X =1) - P(X =2)
P(X>=3) = 1 - 0.05 - 0.30 - 0.40
P(X>=3) = 0.25
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation,...
mcna Final Examination V1 Spring 2018-2019 Sction B Answer the auestions QUESTIONS-TOTAL 15 MARKS) B1) The randon variable 'represents the number of typing errors per page in a student's dissertation with the following probability distribution: SKI: 5 Marks) 0.05 0.30 2 0.40 4 0.10 1) Find the expected number of errors per page. 2) Find the variance and standard deviation of the random variable. 3) Find the following probability: P(X3) (2 Marks) (2 Marks) (I Marks) Page 4 of 10
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)
et be a random variable with the following probability distribution: Value of -2 0.15 -1 0.15 0 0.15 1 0.10 2 0.30 3 0.15 Find the expectation and variance of . (If necessary, consult a list of formulas.) E (x)= Var (X)=
3. From past experience, it is found that the number of typing errors made by Mary follows a Poisson distribution. The probability that there are no errors made on a randomly chosen page is 0.7788. (a) Find the mean and the standard deviation for the number of mistakes made on a page. (b) Determine the expected number of mistakes made on 8 randomly chosen pages. [3] (c) If 20 pages were randomly chosen, find...
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)...
O RANDOM VARIABLES AND DISTRIBUTIONS Expectation and variance of a random variable Let X be a random variable with the following probability distribution: Value x of X P(X-) 0.35 0.40 0.10 0.15 10 0 10 20 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x) -
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)...
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he probability distribution of a random variable x is given. -196 -195 191 -189 -185 p(X = x) 0.20 0.25 0.15 0.10 0.30 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation
The probability distribution of a random variable X is given. -198 -195 -191 -188 -185 p(X x) 0.20 0.25 0.30 0.15 0.10 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation Need Help? Read it