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Multiple Choice Quiz
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1
All of the following are characteristics of the normal distribution, except:
A)symmetric about the mean
B)bell-shaped curve
C)total area under the curve is always one
D)it is a discrete distribution
E)probability that x is equal to any specific value is zero
2
What is the probability that a standard normal random variable is between -0.4 and 1.4?
A)0.3413
B)0.4254
C)0.5746
D)0.2638
E)none of the above
3
Find two values symmetric about a mean of 100, standard deviation of 10, such that they include an area equal to 0.95.
A)90, 110
B)80.4, 119.6
C)98.04, 101.96
D)70, 130
E)none of the above
4
If, for a binomially distributed random variable n*p = 5 and n*(1-p) = 5, then a _____________ distribution with a mean equal to _____ and a standard deviation equal to _____ typically can be used.
A)Normal; <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582611/Ch4_q4_img1.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>
B)Normal; <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582611/Ch4_q4_img2.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
C)Exponential; <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582611/Ch4_q4_img1.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>
D)Exponential; <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582611/Ch4_q4_img2.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
E)Hypergeometric; <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073373605/582611/Ch4_q4_img2.JPG','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
5
A given random variable conforms to the binomial distribution. If there are to be 40 trials, then the minimum P(success) at which the normal approximation would be appropriate is:
A)Not more than 0.10
B)More than 0.10 but not more than 0.12
C)More than 0.12 but not more than 0.13
D)More than 0.13 but not more than 0.14
E)More than 0.14

Use the following information for questions 6-7:

The weight of individual passengers on a given flight can be characterized using the normal distribution with a mean of 160 pounds and a standard deviation of 20 pounds.

6
Assume the flight carries 50 passengers and will be overweight if total passenger weight exceeds 8,200 pounds. If the airline doesn't screen passenger weights before the flight, what is the probability that the flight will be overweight?
A)Not more than 0.10
B)More than 0.10 but not more than 0.40
C)More than 0.40 but not more than 0.60
D)More than 0.60 but not more than 0.90
E)More than 0.90
7
Assume the flight carries 50 passengers and will be underweight if total passenger weight is less than 7,850 pounds and overweight if total passenger weight is in excess of 8,200 pounds. If the airline doesn't screen passenger weights before the flight, what is the probability the flight will be either underweight or overweight?
A)Not more than 0.10
B)More than 0.10 but not more than 0.30
C)More than 0.30 but not more than 0.50
D)More than 0.50 but not more than 0.70
E)More than 0.70
8
A group of casino hotels shares a common hotel and casino staff. Because in aggregate there are so many rooms offered by this group, this group's occupancy rate can be characterized by the normal distribution, with a mean of 78% and a standard deviation of 6%. If a hotel can "staff up" for a particular occupancy level, what staffing level would have only a 0.10 probability of being exceeded by actual demand?
A)Staffing for an occupancy level of approximately 63.9%
B)Staffing for an occupancy level of approximately 69.3%
C)Staffing for an occupancy level of approximately 75.8%
D)Staffing for an occupancy level of approximately 78.5%
E)Staffing for an occupancy level of approximately 85.7%

Use the following information to answer questions 9-11:

After an electronic component has been processed, it must be cured before it can be used. The required curing time can be characterized by a normal distribution with a mean of 180 seconds and a standard deviation of 10 seconds.

9
If the drying time is set at 200 seconds, what percentage of components will have been properly cured?
A)Not more than 20%
B)More than 20% but not more than 40%
C)More than 40% but not more than 60%
D)More than 60% but not more than 80%
E)More than 80%
10
If the drying time is set at 195 seconds, what percentage of units will still need more curing?
A)Not more than 20%
B)More than 20% but not more than 40%
C)More than 40% but not more than 60%
D)More than 60% but not more than 80%
E)More than 80%
11
At what setting should the drying timer be set if the firm wants no more than 2% of the units to need additional curing?
A)Approximately 198.5 seconds
B)Approximately 200.5 seconds
C)Approximately 202.5 seconds
D)Approximately 204.5 seconds
E)Approximately 206.5 seconds
12
If Q is a binomially distributed random variable with P(success)=0.3, the normal approximation of the binomial indicates that in 50 trials the probability of there being at least 12 but no more than 18 successes is:
A)Not more than 20%
B)More than 20% but not more than 40%
C)More than 40% but not more than 60%
D)More than 60% but not more than 80%
E)More than 80%







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