Statistics Problems
p_nutbutta04
exercises.docxStatistics:
18.) Acceptance Sampling- With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. Among 810 airport baggage scales, 102 are defective (based on data from New York City Dept. of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire batch will be accepted? Is this scheme likely to detect the large number of defects?
19.) Redundancy in Aircraft Radios- The FAA requires that commercial aircraft used for flying in instrument conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0035. What is the probability that a particular flight will be safe with at least one working radio? Why does the usual rounding rule of three significant digits not work here? Is this probability high enough to ensure flight safety?
20.)
Express all probabilities as fractions :
a.) In Illinois Little Lotto game, you win the jackpot by selecting five different whole numbers from 1-39 and getting the same five numbers (in any order) that are later drawn. What is the probability of winning a jackpot in this game?
b.) In the Illinois Pick 3 game, you win a bet by selecting three digits (with repetition allowed) and getting the same three digits in the exact same order as they are later drawn. What is the probability of winning this game?
