First of all, observe that all fractions exist as long as b is not zero.
Multiply both numerator and denominator of the first fraction by 3:
Now all fractions have the same denominator. Under the assumption that b is not zero, multiply both sides by 3b:
Subtract 3b from both sides:
Subtract 2 from both sides:
Divide both sides by 2:
Answer:
c. normal probability distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
By the Central Limit Theorem, it is a normal distribution, so option c.