You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
2 answers:
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Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that
b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability
Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.
Set . Find the tangent line
to
at the point when
:
(slope of
)
Set , the root of
. The tangent line
to
at
has slope and thus equation
which has its root at .
(The actual value of this root is about -0.6777)