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A certain standardized test has scores which range from 0 to 500, with decimal s

ID: 3207452 • Letter: A

Question

A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 321 and a standard deviation of 47.

Find the percentile P67 for the scores of students taking the exam.

Round your answer to 2 decimal places.

A quiz worth 5 points is given to a statistics class. Let X represent the score of a randomly selected student in the class. The probability distribution for X is given below.

Find the missing value, K.

Find the standard deviation of the score.

x 0 1 2 3 4 5 P(x) 0.06 0.12 0.19 0.23 K 0.14

Explanation / Answer

mean is 321 and sd= 47 for the normal distribution

P(x>X)=0.67

from normal distribution table, this gives a z value of 0.44

thus (x-321)/47 =0.44

x=0.44*47+321 =341.68

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