A normal distribution is a continuous probability distribution (answer attached)

A normal distribution is a continuous probability distribution because it deals with continuous data. If the distribution of a set of data is normal, the mean, median, and mode will all be equal; the graph of the distribution will form the normal (bell-shaped) curve; and the total area under the normal curve will be equal to 1. It is an important concept that the areas under the curve are probabilities, and thus it makes sense that they should add up to 1. To determine whether a random variable is normally distributed, you can calculate the area under the normal curve and determine the probability that the random variable falls within that area. For example, the owner of the clothing boutique may wish to determine that a shopper spends a particular amount of time on average shopping in the store with a given spread (standard deviation) of time. Scenario: After analysis of a survey from 50 customers who were sampled, you find that the average time spent online was normally distributed at 47 minutes with a standard deviation of 8 minutes. You randomly select 1 individual. Complete the following, showing your work when needed: •Identify the mean and the standard deviation for this scenario. •Find the probability that the average minutes spent online are less than 35 minutes. •Find the probability that the average minutes spent online are between 37 and 52 minutes. •Find the probability that the average minutes spent online are more than 55 minutes. •