In an experiment, each child subject is placed with five toys. Let x be the number of toys the child plays with. The experiment gave the probability distribution below:
Number of toys: 0 1 2 3 4 5
Probability: 0.03 0.167 0.23 0.17 0.11
(a) Write the event 'the child plays with 2 tov * 3 deg' using probability notation. Then find this probability.
(b) Express 'the child plays with 2 or more toys' in terms of x. What is this probability?
(c) Express the event (x > 2) in words. What is this probability?
(d) What important fact about discrete random variables do your answers to (b) and (c) illustrate?
(e) Calculate and interpret the mean μ2.
