Day 8 Probability and Statistics

A bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles. Determine whether the statement correctly describes the likelihood of an event. Select True or False for each statement.

​ The probability that a yellow marble is selected is 0.
(a)  

A bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles.

What is the probability that a red marble is selected from the bag? (Write answer as a fraction)

A bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles.

Are the probabilities of selecting a blue marble, a green marble, or a yellow marble from the bag equal?

Thomas wants to estimate the number of students in his seventh grade class who are interested in starting a computer club. He needs to create a random sample of students.

How should Thomas collect his sample data?

A radio station is giving away t-shirts. In the box of t-shirts there are

5 small shirts, 12 medium shirts, 24 large shirts, and 9 XL (extra-large) shirts.

Each person reaches in and randomly pulls out a t-shirt.

Determine which of the statement correctly describes the likelihood of an event based on the box of t-shirts. Select all the statements that are true.

The middle school administrators are deciding whether to buy new lighting for the auditorium or a new scoreboard for the basketball court.

Which sampling method will give the administrators the most accurate

idea as to what most students want to be purchased?

A representative sample of 50 seventh-grade students is surveyed. Each student is asked what flavor ice cream he or she prefers.

The table shows the responses.

What percentage of the surveyed seventh-grade students prefer chocolate ice cream?

A representative sample of 50 seventh-grade students is surveyed. Each student is asked what flavor ice cream he or she prefers. The table shows the responses.

If there are 200 seventh-grade students, how many would you expect to prefer vanilla ice cream based on the survey?

A representative sample of 50 seventh-grade students is surveyed. Each student is asked what flavor ice cream he or she prefers.

The table shows the responses.

Select all of the statements that are valid based on the results.

Martha is performing a probability experiment. She has a bag of marbles, with each marble colored red, yellow, blue, or orange.

She randomly removes a marble, records the color, returns the marble to the bag, and mixes the marbles.

She repeats this procedure 100 times. Using the data from the experiment, Martha makes the following predictions:

a) There are about 2 times as many red marbles as blue marbles.

b) The probability of randomly removing an orange marble from the bag is about $$\frac{1}{5}$$ .