Question

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. Use the observed frequencies to create a probability model for the quality of the next computer purchased.

Answer 1

Let us first jot down all the data given in the question;

Number of low quality computers (LQ) = 72

Number of medium quality computers (MQ) = 112

Number of high quality computers (HQ) = 711

∴ Total number of computers found in a random sample = 72 + 112 + 711 = 895.

∴ To find the probability of purchase for each category of computers, we use the following formula;

$\frac{no.-of-computers-n-a-particular-category}{total-number-of-computers}$

So,

P(LQ) = 72/895 = 0.08

P(MQ) = 112/895 = 0.125

P(HQ) = 711/895 = 0.794

Ans) Probability of purchase of  a low quality computer, a medium quality computer, and a high quality computer are 0.08, 0.125, and 0.794 respectively

A similar answer can be found here:-

https://www.brainly.com/question/7297949

Answer 2

Answer:

Low: 0.08

Medium: 0.125

High: 0.794

Step-by-step explanation:

1. 711 + 112 + 72 = 895
2. 711 ÷ 895 = 0.08
3. 112 ÷ 895 = 0.125
4. 72 ÷ 895 = 0.794