A computer selects a number X from 4 to 12 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? Hint: Enter the lowest and highest end points. X-U( b. Suppose that the computer randomly picks 39 such numbers. What is the distribution of ē for this selection of numbers. Hint: Enter the mean and standard deviation. a-N( c. What is the probability that the average of 39 numbers will be less than 8.4?

Q: -0.50 1.00 а) 0.60 -100 -0.50 b) 0.60 100 -1.00 -0.50 1.00 c) 0.60 -1.00 -0.50 1.00 d) 60 -1.00

A:

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.