Answer:
6 gallons of punch makes her recipe.
Step-by-step explanation:
Given:
Quarts of ginger ale (g) = 6
Quarts of lemonade (l) = 8
Quarts of raspberry (r) = 10
Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.
So, Total volume =
Total volume = 6 + 8 + 10 = 24 quarts
Now, we know that,
1 quart = 0.25 gallons
Therefore, from unitary method,
24 quarts = 24 × 0.25 = 6 gallons of punch
Therefore, 6 gallons of punch makes her recipe.
Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.
Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.
1. Binomial distribution: Let the sampling distribution be the binomial distribution , where
is the number of trials and
is the probability of success. It can be approximated by the Normal distribution with the mean of
and the variance of
, denoted by
if the following condition is met:
2. Poisson distribution: Let the sampling distribution be the Poisson distribution where
is its mean. It can be approximated by the Normal distribution with the mean
and the variance
, denoted by
when
is large enough, say
(however, different sources may give different lower value for
but the greater it is, the better the approximation).