Question

1. According to the U.S. Department of Commerce, 30% of Arkansas households had a computer in 2002. If 285 Arkansas households are selected at random, find the following probabilities: (Please show all necessary justifications.) a.The exact probability that 70 or fewer have a computer b. The probability that 70 or fewer have a computer using the normal approximation. c. The probability that 70 or fewer have a computer using the normal approximation with the continuity correction.

2.  The probability that a resident of Visalia attends the County Fair in June is 0.65. The probability that a resident of Visalia attends the Annual Fog Festival in January

is 0.20. The probability that a resident of Visalia attends the County Fair and the Annual Fog Festival is 0.13. Is attending the County Fair independent of attending the Annual Fog Festival for Visalia residents? (It is not just a yes or no answer. Prove it.)

3.  According to Cruise Lines International Corporation, 28% of the North Americans who have taken a cruise in the past five years were at least 60 years old.

a. If 12 North Americans who have taken a cruise in the last five years are selected at random, find the probability that at least one of them was at least 60 years old at the time.(If you use the Binomial to answer, show your justifications.)

Answer 1