Question

Consider the probability distribution for a random variable X.variable X.

XX	33	44	55	66	77
P(X)P(X)	0.150.15	0.100.10	0.200.20	0.250.25	0.300.30

Find the probability P(X≤5.5).probability P(X≤5.5).

Use decimal notation. Give your answer to two decimal places.

P(X≤5.5)=

Answer 1

solution:

using probability distribution properties

given table

XX	33	44	55	66	77
P(X)P(X)	0.150.15	0.100.10	0.200.20	0.250.25	0.300.30

less than equal to so

P(X≤5.5)= p(x=5)+ p(x=4)+ p(x=53) = 0.200+0.100+0.150=0.45

probability=0.45