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Statistics – Probability

by / Published in General

#1
Suppose 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).

#2
The intense training needed to reach the Olympics carries risk. About 70% of the members of U.S. Winter Olympics teams have suffered one or more broken bones in the past.

a) The 2006 team had 211 members. What distribution describes the number of team members who had broken bones in the past?

b) What is the probability that 150 or more of the 211 team members had broken bones in the past? (Use software or a suitable approximation).

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