a). The percentile of a score of
is
.
b). The Z score for a test of 200 is
.
c). The percentage of score between
to
is
.
d). The proportion of respondents should score above
is
.
e). The corresponding score for
percentile is
.
Further Explanation:
The Z score of the standard normal distribution can be obtained as,

Given:
The mean of test is
.
The standard deviation of the score is
.
Explanation:
Part (a).
The Z score of
can be obtained as,

The percentile of a score of
can be obtained as,

From Z-table the percentile is
.
Approximately
.
Part (b).
The Z score for a test score
can be obtained as,

The Z-score is
.
Part (c).
The percentage of scores fall between
and
can be obtained as,

Further solve above equation.

Approximately the percentage is
.
Part (d).
The proportion of respondent score above
can be obtained as,

The proportion of respondents should score above
is
.
Part (e).
The Z-value of
is
.
The corresponding score for
percentile can be obtained as,

The corresponding score for
percentile is
.
Learn more:
1. Learn more about normal distribution brainly.com/question/12698949
2. Learn more about standard normal distribution brainly.com/question/13006989
Answer details:
Grade: College
Subject: Statistics
Chapter: Normal distribution
Keywords: Z-score, standard normal distribution, standard deviation, criminologist, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion.