The quotient of two fraction is the multiplication between the first and the inverse of the second:
So, in your case, you have
So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:
So, now it is clear that
Answer:
Probability that exactly 5 of them favor the building of the health center is 0.0408.
Step-by-step explanation:
We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.
Also, 14 citizens are chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 14 citizens
r = number of success = exactly 5
p = probability of success which in our question is % of the community
favored building a health center in their neighborhood, i.e; 60%
<em>LET X = Number of citizens who favored building of the health center.</em>
So, it means X ~
Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)
P(X = 5) =
=
= 0.0408
Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.