Cumulative Distribution Function for a Discrete Random Variable

1
7-Nov-09
Cumulative Distribution Function for a Discrete
Random Variable F(X)
2
The probability of selecting a disc from the box
is shown in the probability distribution below
2
3
3
4
2
3
1
1
2
3
The cumulative Distribution Function F(X) P(X
x) can be found from the above distribution
3
The probability of selecting a disc from the box
is shown in the probability distribution below
2
3
3
4
2
3
1
1
2
3
The cumulative Distribution Function F(X) P(X
x) can be found from the above distribution
4

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

• When x 3, (x k)/8 1
• (3 k)/8 1
• 3 k 8
• k 5

5

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

From a. k 5
b.
6

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

F(2.6) means F(x 2.6)
b.
c. F(2.6) 7/8
7

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

d.
8

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

d.
9

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

d.
10

• A discrete random variable X has a cumulative
  function defined by
• F(X) (x k)/8, x 1, 2 and 3
• a. Find the value of k
• b. Draw the distribution table for the cumulative
  function
• c. What is the value of F(2.6)
• d. Find the probability distribution of X

d.