Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),


=0.15708
(ii) The probability that fewer than four of them did not see a doctor





(iii) The expected number of people who would not see a doctor


=3
Let’s go with 7.0 that is what I think it is
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
a. Factorize the denominator:

Then we're looking for
such that


If
, then
; if
, then
. So we have

as required.
b. Same setup as in (a):

We want to find
such that

Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant
such that the numerator of the second term is
. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining
anyway.

If
, then
; if
, then
. Expanding everything on the right then gives

which tells us
and
; in both cases, we get
. Then

as required.