On a graphing calculator, you can use the function normalcdf(lower bound, upper bound, μ, σ) to find the area under a normal cur
ve for values of x between a specified lower bound and a specified upper bound. You can use −1E99 as the lower bound to represent negative infinity and 1E99 as the upper bound to represent positive infinity. Suppose that cans of lemonade mix have amounts of lemonade mix that are normally distributed with a mean of 350 grams and a standard deviation of 4 grams. What percent of cans have less than 362 grams of lemonade mix? __% of cans have less than 362 grams of lemonade mix.
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) =
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix
The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.
