contestada

assume that the traffic to the web site of smiley’s people, inc., which sells customized t-shirts, follows a normal distribution, with a mean of 4.56 million visitors per day and a standard deviation of 720,000 visitors per day. (a) what is the probability that the web site has fewer than 5 million visitors in a single day? if needed, round your answer to four decimal digits

Respuesta :

The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 5 million

μ = mean = 4.56 million

σ = standard deviation = 720,000

z-score = (5 million - 4.56 million) / 720,000

z-score = 440,000 / 720,000

z-score = 0.6111

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  0.6111

Using interpolation of values,

probability = 0.7293

Learn more about probability here: brainly.com/question/26822684

#SPJ4

Ver imagen jcmacahia7
Ver imagen jcmacahia7

Otras preguntas