Refer to Exercise 3. Suppose that the diameters of 10 pores are independent.
a. Find the probability that more than seven of them have diameters less than 3 microns.
b. Find the probability that exactly one of them has a diameter greater than 11 microns.
(a) Let X be the number of pores with diameters less than 3 microns. The probability that a diameter is less than 3 microns is 0.5276.
Therefore X~ Bin(10, 0.5276).
(b)Let X be the number of pores with diameters greater than 11 microns. The probability that a diameter is greater
than 11 microns is 0.0639.
Therefore X~ Bin(10, 0.0639).
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