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General: Thumbtack Drop a thumbtack and observe how it

Chapter , Problem 7

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QUESTION:

General: Thumbtack Drop a thumbtack and observe how it lands.

(a) Describe how you could use a relative frequency to estimate the probability that a thumbtack will land with its flat side down.

(b) What is the sample space of outcomes for the thumbtack?

(c) How would you make a probability assignment to this sample space if, when you drop 500 tacks, 340 land flat side down?

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QUESTION:

General: Thumbtack Drop a thumbtack and observe how it lands.

(a) Describe how you could use a relative frequency to estimate the probability that a thumbtack will land with its flat side down.

(b) What is the sample space of outcomes for the thumbtack?

(c) How would you make a probability assignment to this sample space if, when you drop 500 tacks, 340 land flat side down?

ANSWER:



a) To estimate the probability that a thumbtack will land with the flat side down using relative frequency, you would need to drop multiple tacks and count how many land flat side down and compare it to the total number of tacks dropped. For example, if you drop 500 tacks and 340 land flat side down, then the relative frequency of the tacks landing flat side down is

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