Transcript Introduction to Probability

Onur DOĞAN
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A small life insurance company has
determined that on the average it receives 3
death claims per day. Find the probability that
the company receives at least 2 death claims on
a randomly selected weekend.
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Let us we have two series such that X and Y. If,
Cov(X,Y)=9 and Var(X)=8 and Var(Y)=15 then
find the correlation coefficient and interpret it.

The machine produce 15 products in one day (9
of them good, 6 of them defective)
a) If we select randomly 5 products, find the
probability of at least one of them will be defective.
b) If we selected 10 products during a day, how
many of them should have been expected to be
non-defective.

A basketball player makes 60% of her free throws.
We put her on the free-throw line and ask her to
shoot free throws until she misses. Let X = the
number of free throws the player takes until she
misses.

What is the probability that the player misses her first free
throw within the first 3 attempts?

What is the probability that her first miss will not occur
within the first 3 attempts?

What is the probability that she will not miss a shot
within her first 5 attempts?
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Suppose that X has the following discrete
distribution,
P(X=1)= 0,1
P(X=4)= 0,2
P(X=2)= 0,2
P(X=5)= 0,3
P(X=3)= 0,2
Find the median?

A basketball player makes 60% of him 3 points
throws,
a) When he throw 5 balls, find the probability of 2
of them will be scores.
b) If he throws 50 ball, then what's the expected
scores of them?