Lesson 5 Inclass

Computing Probability Corresponding to a Given Random Variable

Lesson 5 | Statistics and Probability

We'll start a warm-up. The person who got the highest score will receive (5) additional points to the perfomace task!

So, let's go!

Multiple Choice

What is the sum of the probabilities of all values of the random variable?

• $\sum_{ }^{ }P\left(X\right)=0$
  

• $\sum_{ }^{ }P\left(X\right)=\frac{1}{10}$
  

• $\sum_{ }^{ }P\left(X\right)=1$

• $\sum_{ }^{ }P\left(X\right)=10$

Multiple Choice

What is the probability of getting a Head (H) when throwing a die?

• 0

• 0.5

• 0.75

• 1

Multiple Choice

Find the probability of getting an odd number in a single roll of a die.

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{4}$

• $\frac{1}{5}$

Multiple Choice

What is the formula of solving a probability of an event?

• $P\left(E\right)=\frac{number\ ofoutcomes\ \ in\ \ the\ \ event}{number\ of\ outcomes\ in\ the\ sample\ space}$

• $P\left(E\right)=\frac{number\ of\ outcomes\ in\ the\ sample\ space}{number\ of\ outcomes\ in\ the\ event}$

Multiple Choice

On the given table, find

 $P\left(X\ge2\right)$  

• 0.70

• 0.75

• 0.80

• 0.85

Multiple Choice

On the given table, find

 $P\left(X\le3\right)$  

• 0.70

• 0.75

• 0.80

• 0.85

Multiple Choice

On the given table, find

 $P\left(1\le X\le4\right)$  

• 0.70

• 0.75

• 0.80

• 0.85

Multiple Choice

On the given table, find

 $P\left(2\right)+P\left(4\right)$  

• 0.45

• 0.50

• 0.55

• 0.60

Eyes on the board.

Look at my share screen.

Get one whole sheet of paper and directly answer the following problem. Show your solution.

You can use the template in our google site if you'd like.

TIME ALLOTMENT: 15 MINS

Open Ended

A pair of dice is rolled. Let X the random variable representing the sum of the numbers that appear.

a. Construct the probability distribution of X for a pair of dice.

b. Find P(X≥ 8)

c. Find P(X≤ 7)

d. Find the probability that X takes an even value.

e. Find P(3 ≤X≤ 10)

Note: After answering turn it in to our google classroom.

Do we have questions before proceeding to assessment?

Please ask...

ASSESSMENT

Proceed to our google site to answer Lesson 5 Assessment.

TIME ALLOTMENT: 15 MINS.