number 5 please . The random variable X, representing the number of errors per 100 lines...
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)...
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)...
B1) The random variable Krepresents the number of typing errors per page in a student' dissertation, with the following probability distribution: [SKI: 5 Marks] 00.05 0.30 2 0.40 3 0.15 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(X23) (2 Marks) (2 Marks) (1 Marks)
Suppose a software company finds that the number of errors in its software per 1,000 lines of code is described by a Poisson distribution. Furthermore, it is found that there is an average of 8 errors per 1,000 lines of code. Letting x denote the number of lines of code between successive errors: (Round your answers to 4 decimal places.) (a) Find the probability that there will be at least 400 lines of code between successive errors in the company's...
#5 please 2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
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
Use the probability distribution for the random variable x to answer the question. х 0 1 2 3 4 5 p(x) 0.3 0.2 0.05 0.15 0.25 0.05 Find u, 02, and o. (Round your standard deviation to two decimal places.) H = 0.2 x 02 = x
QUESTION 15 The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: 1 2 3 P(X=x) 0.35 0.25 0.20 0.10 0.05 0.05 On average, how many accidents are there in a week? 025 0.80 1.40 2.00
6. In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation. x P(x) 0 0.04 1 0.11 2 0.32 3 0.25 4 0.15 5 0.13 If the table is a probability distribution, what is its mean? Select the correct choice below and fill in any answer boxes within...