According to international standards, a tennis ball should have an internal pressure of 14 psi. Wilson claims that the pressure
in tennis balls they make follow a normal distribution with a population mean of 14 and a population standard deviation of 2. A quality control expert has taken a sample of 9 balls to test the variability in the pressure. Let X1, X2, . . . , X9 be the balls and let S² be the same variance.
(a) What is the distribution of 8S²/4? Give the name as well as the parameters of the distribution.
(b) Find P(S² > 0.8232).
(a) What is the distribution of 8S²/4? Give the name as well as the parameters of the distribution.
(b) Find P(S² > 0.8232).
1 answer:
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If you evaluate directly this function at x=0, you'll see that you have a zero denominator.
Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.
So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.
Moreover, we have
So, we can't even extend with continuity this function in such a way that