1. At a tea party in 1935, a lady claimed she can discriminate by tasting a cup
ID: 3063624 • Letter: 1
Question
1. At a tea party in 1935, a lady claimed she can discriminate by tasting a cup of tea whether the milk (M) or the tea (T) was poured first. To verify her claim, R.A. Fisher presented her in random order with eight cups of tea, and tells her there are four of each type M and T. What is the probability that the lady can correctly identify the 8 cups of tea (4M and 4T) by guessing randomly? 2. The line width of an IC for a semiconductor manufacturing process is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer. What is the probability that a line width is greater than 0.62 micrometer? a. b. What is the probability that a line width is between 0.47 and 0.63 micrometer? C. The line width of 7% of samples is above what value?Explanation / Answer
2.
Params of normal distribution is as below:
Mean = .5
Stdev = .05
a. P(X>.62) = P(Z> .62-.5/.05) = P(Z>2.4) = 1-0.9918 = .0082
b. P(.47<X<.63) = P(.47-.5/.05<Z<.63-.5/.05) = P(-.6<Z<2.6) = 0.9953-0.2743=0.721
c. P(X>c) = .07
(c-.5)/.05 = 1.475
c = 1.475*.05+.5 = 0.574
So, 7% of samples is above .574
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