A discrete random variable X has the following probability mass function P(X = x) = { 2kx x = 2, 4, 6 { k(x + 2) x = 8 { 0 otherwise where k is a constant a. Show that k =1/34 b. Find the exact value of P(4 < x ≤ 8) c. Find the exact value of P(2 < x < 4)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A discrete random variable X has the following
P(X = x) = { 2kx x = 2, 4, 6
{ k(x + 2) x = 8
{ 0 otherwise
where k is a constant
a. Show that k =1/34
b. Find the exact value of P(4 < x ≤ 8)
c. Find the exact value of P(2 < x < 4)
d. What is the
e. What is the variance of the random variable X?
f. Determine Var(5 − 3X)
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