Question: 15.52 Text messaging. Suppose (as is roughly true) that 40% of all cell phone owners have sent or received text messages. A sample survey interviews

15.52 Text messaging. Suppose (as is roughly true) that 40%

of all cell phone owners have sent or received text messages. A sample survey interviews an SRS of 2000 cell phone owners.

(a) What is the actual distribution of the number X in the sample who have sent or received text messages?

(b) What is the probability that 750 or fewer of the people in the sample have sent or received text messages? (Use software or a suitable approximation.)

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