Question

Cartoon characters consume an average of 4.5 beers per day with a standard deviation of 1.5. Rick Sanchez drinks beers at the 96th percentile. How many beers does he drink per day?

Answer 1

To find how many beers Rick Sanchez drinks per day, we use the z-score formula with the given mean and standard deviation. The 96th percentile corresponds to a z-score of approximately 1.75, which can be used to calculate the number of beers he drinks.

Step-by-step explanation:

To find how many beers Rick Sanchez drinks per day, we need to determine the value at the 96th percentile using the given mean and standard deviation. The 96th percentile corresponds to a z-score of approximately 1.75.

Using the z-score formula: Z = (X - mean) / standard deviation, we can calculate the number of beers:

X = (Z * standard deviation) + mean
X = (1.75 * 1.5) + 4.5 = 7.125

Therefore, Rick Sanchez drinks approximately 7.125 beers per day.