Question

The regression equation to predict the test score of a student who studies 5.75 hours. (4 pts)

Round the test score to the nearest integer.
You like to play a probability game that consists of selecting balls from a bin. The bin contains 5 red balls, 7 yellow balls, and 3 green balls, all randomly scattered in the bin.
11.) If you select three balls without replacement a selected ball is not returned to the bin before his next selection), what is the probability that you select three red balls in order?
Write your answer using unsimplified fractions.
(4 pts)
12.) If you replace each ball after it is selected, what is the probability that you select three red balls in order? Write your answer using unsimplified fractions.

Answer 1

The regression equation to predict the test score of a student who studies 5.75 hours cannot be calculated. The probability of selecting three red balls in order depends on whether the balls are replaced or not.

Step-by-step explanation:

In order to predict the test score of a student who studies 5.75 hours using a regression equation, we need the regression equation itself. It is not provided in the question, so we cannot calculate the test score.

For the second part of the question, let's consider both scenarios:

1. If you select three balls without replacement, the probability of selecting three red balls in order can be calculated as follows: (5/15) * (4/14) * (3/13) = 1/91
2. If you replace each ball after it is selected, the probability of selecting three red balls in order is (5/15) * (5/15) * (5/15) = 125/3375