If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability that a random sample of 100 people will contain:
(a) at least 50 who are in favor of the proposition;
(b) between 60 and 70 inclusive who are in favor;
(c) fewer than 75 in favor.

 a) 0.99917  b)  0.7054  c) 0.9820

Step-by-step explanation:

Let X denotes the number of people are in favor of a proposed rise in school taxes.

Era re given that p(probability that a person is in favor of a proposed rise )= 0.65

Sample size : n= 100

Mean= np = 100(0.65)=65

Standard deviation:

a) Now, the probability that a random sample of 100 people will contain  at least 50 who are in favor of the proposition :

b) between 60 and 70 inclusive who are in favor;

c) fewer than 75 in favor.