A consumer report counted 727272 low-quality, 112112112 medium-quality, and 711711711 high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.
Use the observed frequencies to create a probability model for the quality of the next computer purchased.
Answers
Given:
A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.
To find:
Use the observed frequencies to create a probability model for the quality of the next computer purchased.
Solution:
The total number of computers = 72 + 112 + 711 = 895
Let L be an event that represents low quality computers.
The total number of computers reported low quality = 72
The total number of computers = 895
∴ P (L) = 72/895 = 0.08
Let M be an event that represents medium quality computers.
The total number of computers reported medium quality = 112
The total number of computers = 895
∴ P (M) = 112/895 = 0.125
Let H be an event that represents high quality computers.
The total number of computers reported high quality = 711
The total number of computers = 895
∴ P (H) = 711/895 = 0.794