A
B
C
Prob
Outcome %
Prob
Outcome %
Prob
Outcome %
0.4
3
0.1
5
0.1
5
0.3
4
0.2
6
0.1
7
0.1
6
0.1
8
0.2
8
0.1
7
0.2
9
0.2
9
0.1
9
0.4
10
0.4
11
Using the following information, which investment would be
most preferred using Roy's safety first criterion,
if RL=7%.
Either B or C (indistinguishable)
Only B
Only A
Either A or B (indistinguishable)
Only C
Either A or C (indistinguishable)
Suppose X ~ B(b,0.c)(Use the value B(84,0.40)).
i) For this distribution, is the normal approximation
reasonable? Your answer must make reference to skewness.
ii) If you take a sample of size 120, what's the approximate
probability that the proportion of successes will be larger than
0.65? (Answer this regardless of your answer to i.)
1.True/False. Explain.
(a)The normal is a right skewed
distribution.____________________________________________________________________________________________________________________
_________________
(b)If a normal distribution is described by X ~ N(60, 5), then
the median for this distribution is
60.___________________________________________________________________________
___________________________________________________________________
(c)For a normal distribution when you decrease the standard
deviation, the curve becomes more
flatter._____________________________________________________________________
_________________________________________________________________________
2.Jerome averages 16 points a game with a standard deviation of
four points. Fill in the blanks.
(a)ThenX~N(____,____).
(b)Suppose Jerome scores ten points in a game.Then the z–value
for Jerome’s score is _________.
(c)This...
1) The normal distribution is the most important continuous
distribution in statistics. Give at least three reasons why? 2. The
director of a hospital wishes to estimate the mean number of people
who are admitted to the emergency room during a 24-hour period. The
director randomly selects 49 different 24-hour periods and
determines the number of admissions for each. For this sample, x =
17.2 and s2 = 25. Estimate the mean number of admissions per
24-hour period with a...
1.
a) For a standard normal distribution, find c if P(z < c) =
0.4756 c =
b) For a standard normal distribution, find c if P(z > c) =
0.2399 For greatest accuracy, don't use Z tables. c =
A mixture initially contains A, B, and C in the following
concentrations: [A] = 0.400M , [B] = 0.700M , and
[C] = 0.700M . The following reaction occurs and
equilibrium is established:
A+2B?C
At equilibrium, [A] = 0.210M and [C] = 0.890M
. Calculate the value of the equilibrium constant, Kc.
Express your answer numerically.
Which of the following portfolios is most attractive to
investors?
a.Risk: 4%; Return: 2%
b.Risk: 4%; Return: 10%
c.Risk: 7%; Return: 8%
d.Risk: 7%; Return 10%
e.None of the above investments would attract investors