Answer:
Option D) 0.1935
Step-by-step explanation:
We are given the following information:
We treat adults in Ohio support the increase as a success.
P(Adults in Ohio support the increase) = 40% = 0.4
Then the number of adults follows a binomial distribution, where
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 7
P(exactly 4 people support the increase in tax)
[tex]P(x = 4)\\\\= \binom{7}{4}(0.40)^4(1-0.40)^3\\\\= 0.1935[/tex]
0.1935 is the probability that exactly 4 out of 7 adults in Ohio suppert the increase.
Thus, the correct answer is
Option D) 0.1935
