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Q1 ) Males from Saskatchewan account for 1,350 of the 22,400 total deaths from the four provinces. An estimate for the proportion of males from Saskatchewan who die as a result of cancer is given by 1,350 22,400 ≈ 0.0602 (or 6.0%). Suppose that you randomly sample ten medical records of deaths from western Canada due to cancer. Determine the probability that out of the ten selected records:
a) None are males from Saskatchewan. [2 Marks]
b) All are males from Saskatchewan.
c) At most one are males from Saskatchewan.
d) At least two are males from Saskatchewan.
(a)
Binomial Distribution
n = 10
p = 0.06
q = 1 - p = 0.94
So,
Answer is:
0.5386
(b)
(c)
P(X1) = P(X=0) + P(X=1)
So,
P(X1) = 0.8824
So,
Answer is:
0.8824
(d)
P(X2) = 1 - [P(X=0) + P(X=1)]
= 1 - (0.5386 + 0.3438)
= 1 - 0.8824
= 0.1176
So,
Answer is:
0.1176
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