Suppose a random variable X has the following probability density function: Find standard deviation, ? (Hint :first find the value of A so that is a probability density function and then calculate standard deviation).

Suppose a random variable X has the following probability density function: open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell 1 over x end cell cell 1 less than x less than A end cell row 0 cell O t h e r w i s e end cell end table closeFind standard deviation, sigma? (Hint :first find the value of A so that f left parenthesis x right parenthesis is a probability density function and then calculate standard deviation).

Suppose it is known that the life X of a particular compressor, in hours,has the density function( )/9001 , 0,9000,xe xf xotherwise− = a. Find the mean life of the compressor.b. Find2X    .c. Find the variance and standard deviation of the random variable X

Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10What is the standard deviation?Question 3Answera.4.85b.1.06c.0.3

X is a random variable with mean 8 and variance 16. A function F(X) is defined asF(X) = (2X - 12).Question 7What are the mean and standard deviation of F(X)?Mean 16, standard deviation 32Mean 4, standard deviation 8Mean 4, standard deviation 4Mean 4, standard deviation 16

Find the standard deviation for the given probability distribution.xp(X)x.P(X)x2.P(X)00.21  10.08  20.08  30.36  40.27