contestada

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 7,421,143 drinks sold with a standard deviation of 6,974.621. What is the probability that on a given day below 7,428,350 drinks are sold?
1. We do not have enough information to calculate the value.
2) 0.1507
3) 0.8493
4) 0.8414
5) 0.1586

Respuesta :

JeanaShupp

Answer: 3) 0.8493

Step-by-step explanation:

Given : Red Bull GmbH (the parent company) has observed that daily sales are normally distributed with an average of 7,421,143 drinks sold with a standard deviation of 6,974.621.

i.e.

[tex]\mu = 7,421,143\\\\\sigma=6,974.621[/tex]

Let x denotes the daily sales .

Then, the probability that on a given day below 7,428,350 drinks are sold would be :

[tex]P(X<7,428,350)=P(\dfrac{x-\mu}{\sigma}<\dfrac{7428350-7421143}{6974.621})\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<1.0333)\\\\\approx0.8493\ \ [\text{By z-table}][/tex]

Hence, the correct answer is 3) 0.8493

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