Rework problem 9 in section 4.1 of your text, involving a defective vending machine. Assume that the machine yields the item selected 95 percent of the time, and returns nothing 5 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of individuals who obtain the item selected.
How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.

Question

Rework problem 9 in section 4.1 of your text, involving a defective vending machine. Assume that the machine yields the item selected 95 percent of the time, and returns nothing 5 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of individuals who obtain the item selected.
How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.