It is answer C because 59/18 is equal to 3 5/18
Answer:
The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157
Step-by-step explanation:
We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.
So z-score for sample proportion q = 0.72
z =
=
= -
= - 0.872
So z-score for sample proportion q = 0.78
z=
=
=
= 0.872
Therefore the probability that the sample proportion will be within 3 percent of the population proportion is
P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)
= P( z < 0.872) - P( z < -0.872)
= 0.80785 - 0.19215
= 0.6157
5s + 5l = 155, 10s + 12l = 346
Solve for s in the first equation.
5s = 155 - 5l
s = 31 - l
Substitute s into the second equation.
10(31 - l) + 12l = 346
310 - 10l + 12l = 346
310 + 2l = 346
2l = 36
l = 18
Substitute l into the first equation.
5s + 5(18) = 155
5s + 90 = 155
5s = 65
s = 13
s = 13, l = 18