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42 / 46 Marks
P is a rectangle with length 40 cm and width x cm.
Q is a rectangle with width y cm.
Р
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
x cm
Work out the ratio xiy
Give your answer in its simplest form.
40 cm
:
y cm

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3