Question

A group famous vloggers were surveyed and noted that their comments in a day are normally distributed with a mean of 500 and a standard deviation of 80 . If a random vlogger is selected, find the probability that greater than 340 comments were received in a day.

Answer 1

To find the probability that more than 340 comments were received in a day, we need to standardize the value and then find the corresponding z-score. Using the given values, the z-score is -2.0. The probability that a randomly selected vlogger received more than 340 comments in a day is the area to the right of the z-score -2.0.

Step-by-step explanation:

To find the probability that more than 340 comments were received in a day, we need to standardize the value and then find the corresponding z-score. The formula for z-score is: z = (X - μ) / σ, where X is the value we are interested in, μ is the mean, and σ is the standard deviation.

Using the given values, z = (340 - 500) / 80 = -2.0.

To find the probability, we can use a standard normal distribution table or a calculator. The probability that a randomly selected vlogger received more than 340 comments in a day is the area to the right of the z-score -2.0.