In the following probability distribution the random variabl

In the following probability distribution, the random variable X represents the number of activities a present of a Verify that this is a discrete probability model. Draw a probability histogram. Compute and interpret the mean of the random variable x. What is tha probability that a randomly selected student has a parent involved in three activities? What is the probability that a randomly selected student has a parent involved in three or four activities?

Solution

a)
Probability of (X) = 0.073+0.117+0.258+0.322+0.230 = 1

It is a discrete distribution

c)

f=   1  
fx =   2.519  
      
Mean = fx / f =   2.519  

d)
P( involved in 3 activities) = P(3) = 0.322

e) P( involved in 3 OR 3 activities) = 0.322+ 0.230 = 0.552

Values ( X )	Frequency(f)	fx	( X^2)	f x^2
0	0.073	0	0	0
1	0.117	0.117	1	0.117
2	0.258	0.516	4	1.032
3	0.322	0.966	9	2.898
4	0.23	0.92	16	3.68