Question

1. You have an opaque urn with eight balls in it. Of these eight balls, there are two balls with a 4 on them, there are four balls with a 5 on them, there is one ball with a 6 on it, and one ball with a 10 on it. Let X denote the random variable that takes on the values

X = 4,5,6,10.

a. Find the mean,

b. variance,

c. standard deviation,

d. skewness,

e. kurtosis,

f. median,

g. mode, and

h. coefficient of variation for X ?

i. Find the value of the distribution function F(x) when x = 5.

j. How much total probability is contained within two standard deviations of the mean?

You should use Excel in order to avoid hand calculations. However, do not use the Descriptive Statistics command in Excel to answer the foregoing questions. (If you do, some of the answers will be incorrect; and you will not get credit for this problem.)

Answer 1