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wr7gguy wr7gguy
wrote...
Posts: 501
Rep: 0 0
6 years ago
Suppose probation officer caseloads have a mean of 115 offenders and a standard deviation of 10. Assuming caseload sizes are normally distributed, determine
 
  a. the probability that a particular probation officer has a caseload between 90 and
  105.
  b. the probability that a particular probation officer has a caseload larger than 135.
  c. the probability that four probation officers have a caseload larger than 135.
 
  What would be an ideal response?



The physical items left behind humans are called traces. The category of traces that are indicators that wear down or away over time are measures of _______________.
 
  A) official documentary records
  B) accretion
  C) physical erosion
  D) archival strategies



Suppose that at a large state university graduate research assistants are paid by the hour.
 
  Data from the personnel office show the distribution of hourly wages paid to graduate
  students across the campus is approximately normal with a mean of 12.00 and a
  standard deviation of 2.50. Determine
  a. the percentage of graduate assistants who can earn an hourly wage of 15 or
  more.
  b. the probability of selecting at random from personnel files a graduate assistant
  who earns an hourly wage of 15 or more.
  c. the percentage of graduate assistants who earn between 10 and 12 per hour.
  d. the probability of selecting at random from personnel files a graduate assistant
  who earns between 10 and 12 per hour.
  e. the percentage of graduate assistants who earn an hourly wage of 11 or less.
  f. the probability of selecting at random from the personnel files a graduate
  assistant who earns an hourly wage of 11 or less.
  g. the probability of selecting at random from personnel files a graduate assistant
  whose hourly wage is extreme in either direction  either 10 or below or 14 or
  above.
 
  What would be an ideal response?
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Replies
wrote...
6 years ago
a.
1 2
90 115
10
2.5
105 115
10
1
.4938 .3413 .1525
x
z
x
z P





=

=
=

=

=
=
=  =
b.
135 115
10
2
.0228
x
z P



=

=
=
=
c.
P = = (.0228)(.0228)(.0228)(.0228) .00000027

- - - - - - - - - - - -

C

- - - - - - - - - - - -

a.
15 12
2.5
1.2
x
z



=

= =
The percentage of graduate assistants who can earn an hourly wage of 15 or
more is 11.51.
b.
P = .1151
c.
10 12
2.5
.8
x
z



=

=
=
28.81 of graduate assistants earn between 10 and 12 per hour.
d.
P = .2881

e.
11 12
2.5
.4
x
z



=

= =

34.46  of graduate assistants earn less than 11 per hour.
f.
P = .3446
g.
14 12
2.5
.8
10 12
2.5
.8
(2)(.2119) .4238
x
z
x
z P





=

= =

=

=
=
= =
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