Using the normal distribution, it is found that:
a) The rating would have to be of at least 9.78.
b) The z-score for a rating of 5 is of -1.53.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given by:
For item a, we have to find the 90th percentile, which is <u>X when Z = 1.28</u>, hence:
1.28 = (X - 7.6)/1.7
X - 7.6 = 1.28 x 1.7
X = 9.78.
The rating would have to be of at least 9.78.
For item b, we have to find <u>Z when X = 5</u>, hence:
Z = (5 - 7.6)/1.7
Z = -1.53.
The z-score for a rating of 5 is of -1.53.
More can be learned about the normal distribution at brainly.com/question/24808124
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Answer:
point slope, slope intercept form, and I think two point
The answer would be 18 you subtract 6 and get six then times three
Not 100% sure but they should equal 22 because they are across from each other they would be the same answer so you set it equal to each other and solve for the answer