Provide an appropriate response. In a recent survey, 72% of the community favored building a health center in their neighborhood. If 14 citizens
are chosen, find the probability that exactly 10 of them favor the building of the health center.
0.001
0.714
0.720
0.230

0.230

Step-by-step explanation:

Given

Estimate = 72%

Number of citizens = 14

Required

Find the probability that exactly 10 of the citizens will be in favor

This question can be solved using binomial expansion of probability which states;

Where p and q are the probabilities of those in favor and against of building a health center;

n is the selected sample and r is the sample in favor

So; from the above analysis

Since, we're solving for the probability that exactly 10 citizens will be in favor;

we'll make use of

Substituting these values in the formula above

So, the expression becomes

----Approximated

Hence, the probability that exact;y 10 will favor the building of the health center is 0.230

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.