1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /4 X -1 0 1
f(x) 3c 3c 6c

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

So the probability distribution is:

Mean:

Sum of each outcome multiplied by its probability. So

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

The variance of the distribution is of 0.6875.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36