Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Probability distribution function of discrete random variable |
Grade: 9-a Lesson: S4-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
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1 |
Problem |
The random variable X has a probability distribution P(X) of the following form,where k is some number |
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2 |
Formula: |
Sum of the probabilites = 1 |
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3 |
Step |
Finding the value of k |
\$\sum_{i=0}^3 P(X) = 1\$ |
4 |
Step |
Expand \$\sum_{i=0}^3 P(X)\$ |
P(X=0)+P(X=1)+P(X=2)+P(X=3) |
5 |
Step |
Simplification |
\$k + 2k + 3k + k = 1\$ |
6 |
Step |
Value of |
\$7k = 1\$ ⇒ \$k = 1/7\$ |
7 |
Step |
Finding the P(X<2) |
P(X<2) = P(X=0)+P(X=1) |
8 |
Step |
Simplification |
P(X<2) = k + 2k |
9 |
Step |
After simplification |
P(X<2) = 3k |
10 |
Step |
Substitute \$k = 1/7\$ |
\$P(X<2) = 3(1/7)\$ |
11 |
Step |
After simplification |
P(X<2) = 0.42 |
12 |
Hint |
0 < \$p_i\$ < 1 Condition is satisfied |
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13 |
Answer |
D |
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Tutor: Questions
| Seq | Type | Question | Audio |
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1 |
Problem |
What did you learn from this problem? |
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2 |
Clue |
What did you learn from the clues? |
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3 |
Hint |
What did you learn from the Hints? |
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4 |
Step |
What did you learn from the Steps? |
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5 |
Step |
How can we improve the Steps? |
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