Chapter 01 Test

The below table shows the distribution of grades that Mr. Virshup has given during his time as a teacher. Take that frequency distribution and turn it into a probability distribution table.

When you flip a coin, there is a 50% probability that a heads shows (We will consider this a success). If we flip the coin 5 times, what are the probabilities of getting a heads X times, where X= to the questions position on the table?

p=0.5

n=5

you can use this formula to help you solve it:

P(X)=\frac{n!}{X!(n-X)!}\cdot (0.5)^{X}\cdot (0.5)^{n-X}

Where

n= Total number of trials

X= Number of heads (top row of the table)

Reminder: the factorial symbol (!) means that you multiply all whole numbers from the given number down to 1. For example, 6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1

You can also use this website to help as well: https://stattrek.com/online-calculator/binomial

Z-scores are often used in a medical setting to analyze how a certain newborn’s weight compares to the mean weight of all babies.

For example, it’s well-documented that the weights of newborns are normally distributed with a mean of about 7.5 pounds and a standard deviation of 0.5 pounds. Z-scores are often used in a medical setting to analyze how a certain newborn’s weight compares to the mean weight of all babies.

Use the following information to calculate the z-scores or raw scores for the following babies.