Question

Red Bull is the most popular energy drink in sales in the United States. Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 6,205,195 drinks sold with a standard deviation of 9,120.32. What is the probability that on a given day below 6,214,323 drinks are sold

Answer 1

Answer:

The probability that on a given day below 6,214,323 drinks are sold is 0.8413.

Step-by-step explanation:

The provided information are:

Population mean $(\mu)$ = 6,205,195

Population standard deviation $(\sigma)$ = 9,120.32

Consider, X be the random variable that represents the number of drinks that are sold on a given that is normally distributed with the mean = 6,205,195 and standard deviation = 9,120.32.

The probability that on a given day below 6,214,323 drinks are sold can be calculated as:

$P(X$

It must be noted that P(Z < 1.0008) = 0.8413 has been calculated using the standard normal table.

Hence, the required probability is 0.8413.