If an NBA (National Basketball Association) championship series, the team which wins
four games out of seven will be the winner. Suppose that team A has probability 0.55
of winning over the team B and both team A and B face each other in the
championship games.
(一) What is the probability that the team A will win the series in six games? (6%)
(二) If both teams face each other in a regional playoff series and the winner is decided
by winning three out of five games, what is the probability that team A will win a
playoff? (6%)
The number of customer arriving per hour at a certain store is assumed to follow a
Poisson distribution with mean λ = 8 . What is the probability that more than 2
customers will arrive in a 30 minute period? (8%)
Samples of peanut butter produced by 2 different manufacturers are tested for aflatoxin
content (ppb), with the following results:
Brand A : 0.5 0.0 3.2 1.4 0.0 1.0 8.6 2.9
Brand B : 4.7 6.2 0.0 10.5 2.1 0.8
(一) Use analysis of variance to test whether the two brands differ in aflatoxin content at
the 0.05 level of significance. (10%)
(二) Test the same hypothesis using a two-sample t test. (10%)
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