The manager of an online music store has kept records of the number of songs downloaded in a single transaction by customers who make a purchase at the store. Consider the chance experiment of observing the number of songs downloaded by a randomly selected customer. The accompanying table gives six possible outcomes and the estimated probability of each of these outcomes.

a. What is the estimated probability that a randomly selected customer downloads three or fewer songs?

b. What is the estimated probability that a randomly selected customer downloads at most three songs? How does this compare to the probability calculated in Part (a)?

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Number of songs 6 or 4 3 5 downloaded Estimated probability 2 more 0.45 0.25 0.10 0.10 0.07 0.03