A discrete random variable X has the following probability distribution: -4 -3 -2 -1 2 3 0.05 0.075 0.4 0.07 0.06 0.1 0.2 a 0.03 The standard deviation a of X.

A random variable X has the following probability distribution. Values of X -1 1 Probability 0.28 0.44 0.28 (a) Calculate the mean of X. (b) Calculate the variance of X. (c) Calculate the standard deviation of X. (Round the answer to the nearest thousandth.)

There is a chance that a bit transmitted through a digital transmission channel is received in error. Let the random variable X equal the number of bits in error in the next four bits transmitted. The probability distribution is given below:   x 0 1 2 3 4 p(x) 0.4561 0.3316 0.1467 0.062 0.0036   Confirm the above represents a valid discrete probability function. Calculate the mean and standard deviation of the discrete probability function.       The continuous random variable X denotes the diameter of a hole drilled in a sheet metal component. The target diameter is 12.5 millimetres. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modelled by a probability density function:         If a part with a diameter larger than 12.64 millimetres is scrapped, what proportion of parts is scrapped?   What proportion of parts lie between 12.5 and 12.64 millimetres?

The probability distribution of a random variable X is given in the table below: -4 -2 2 4 .1 .2 .3 .1 .3 P(X Compute the : Мean: (round to 1 place if necessary) Variance: (round to 2 places if necessary) Standard Deviation : |(round to 2 places if necessary)

Let X be a random variable with the following probability distribution: - 4 3 5 f(x) 0.6 0.3 0.1 Find the standard deviation of X. The standard deviation is . (Round to two decimal places as needed.)

A random variable X has the following distribution: X P(X=x) -1 .3 0 1 .5 2 Let Y=X². Find the expected value of random variable Y. 0.38 0.6 5 4 O-1

The probability distribution of random variable X is defined as follows:   X 0 1 2 3 4 Probability 0 0.3 0.1 0.3 0.3   Find the expected value and the standard deviation of X.

I am in Prob/Stat!   Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places. x P(x)     0 0.15 1 0.15 2 0.2 3 0.5 I have multiplied P by x, thus, P(x) as such: 0.15(0)   =   0 0.15(1)   =   0.15 0.2(2)      =   0.4 0.5(3)      =   1.5 I then add the four together to get the sum of; 2.05.   What am I doing wrong?  Am I not finding the standard deviation correctly?? Thank you in advance!

Please calculate the covariance and the correlation coefficient for the two random variables and briefly comment on the resulting correlation between the variables.

Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x Px −5 0.11 1 0.26 4 0.23 6 0.28 8 0.12     (a) Find the mean. Round the answer to three decimal places, if necessary. (b) Find the standard deviation. Round the answer to three decimal places, if necessary.