Downloading apps to your cell phone. According to a study, nearly 40% of adult cell phone owners have downloaded an application (“app”) to their cell phone. The accompanying table gives the probability distribution for x, the number of apps used at least once a week by cell phone owners who have downloaded an app to their phone.

a. Show that the properties of a probability distribution for a discrete random variable are satisfied.

b. Find P1x 7 32.

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Number of Apps Used, x p(x) 01234567890 .30 .24 .06 .06 .05 .10 .07 .05 .03 .02 .02