Consider the following: If the population is normally distributed with a mean of = 60 and a standard deviation of = 4, then what is the probability of randomly selecting a score that is greater than 62? In other words, what proportion of the distribution consists of scores greater than 62? What does this information tell you about this score?

Part 2:

Consider that the binomial distribution is used whenever the measurement procedure simply classifies individuals into exactly two categories. Suppose that you have flipped a coin for heads or tails (i.e., the only two possible categories), and you have flipped the coin 50 times. You know that the probability of success of a given trial is 0.5, which is another way of saying fifty-fifty.

Answer each of the steps below for the binomial distribution, and please show all work:

Answer each of the steps below for the binomial distribution, and please show all work:

• What is the probability that you will get heads at least 17 times?
• How would this look as a binomial symbol?
• Identify p and q and solve.
• Is pn and qn greater than 10? If so, then what does this mean?
• Identify the parameters and sketch a binomial distribution (you can take a picture of this or use the drawing tools on the discussion board).
• Find the z-score for X and give the probability for getting heads at least 17 times.

scholarly evidence in APA Style.