PROBABILITY DISTRIBUTION

1. If three coins are tossed, what is the probability distribution of the values of the random variable having two heads?

2. 2. Which of the following values can serve as the values of a probability distribution?
   
   

• P (1) = 0.42, P(2) = 0.31, P(3 ) = 0.37
  
  

• P(1) = 0.08, P(2) = 0.12, P(3 ) = 1.03 

• P(1) = 9/14, P(2) = 4/14, P(3) = 1/14

• P(1) = 10/33, P(2) = 12/33, P(3) = 10/33

3. Which of the following is a property of a probability distribution?

• The sum of all probabilities must equal 0.

• Each probability must be greater than 1.

• The probability of each value of the random variable must be between or equal to 0.

• The probabilities can be any value between -1 and 1.

• 0, 2, 3

• 2,3,4

• 1,2,3

• 1,1,2

The given table shows the probability distribution of a random variable Z which represents the percentage of male students per section among Grade 11 senior high school students. Find P(Z ≥ 9)

• 92%

• 84%

• 59%

• 43%

It consists of the values a random variable can assume and the corresponding probabilities of the values.

• random variable

• continuous random variable

• discrete random variable

• discrete probability distribution