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Question 1

 

0.224

0.168

It is not likely to response this question

1.0

0.016

  Question 2

 

0.168

0.150

0.117

0.185

It is not possible to response this question

  Question 3

 

0.0047

0.8008

It is not likely to answer this question

4.95025E-05

0.0

 

 Question 4

 

0.012

32

36

19

0.071

  Question 5

 

That tankers arrive at regular times throughout the day

That tankers arrive at random throughout the year

Thead covering tankers are all of the identical size

That tankers not handled immediately do not wait until the next day

Thead covering tankers reach individually and not as convoys

  Question 6

 

Weather patterns are deterministic and probabilistic directions are inappropriate.

Rainy days cannot be expressed as the number of occurrences over some interval

The occurrences should be unaligned of each other

The occurrences must be uniformly circulated over the interval

The average rate of occurrences is too high for the Poisson distribution to be applicable

  

Question 7

 

.0068

  Question 8

 

From a national census, the number of people in a census tract

The conclusion of a roll of a dice

Mean time between flops of a machine

The number of failures per year of a machine

  Question 9

 

Area under curve f(x) from a to infinity minus area under curve from b to infinity

f(b) f(a)

(f(b)-f(a))/(b-a)

Integral of f(x) with esteem to dx

  Question 10

 

The use of the normal circulation is restricted to the central area and we should disregard the farthest values

That if size of a sample tends in the direction of infinity then the variance of the trials will are inclined in the direction of zero.

The Gaussian circulation is restricted in its application

If a random experiment of dimensions n is drawn from a community of mean m and variance v then as n rises the distribution of the mean of the sample approaches a usual circulation with signify m and varaince v/n

Thead covering the mean of the addition of a experiment any random variable from any likelihood circulation tends in the direction of the normal distribution

  Question 11

 

In an examination on numerical methods the mean of the scores obtained by students is 62% and the standard deviation is 18%. The examination board has a policy that all examinations must be normalised so that they all have a mean of 60% and a standard deviation of 8%. If a particular student scored 44 on the examination what would their normalised score be? Give the answer to the nearest whole mark.

26

  Question 12

 

Determine the normal probability density fucntion at the point 0.3 with a mean value of 0 and a standard deviation of 1. Give your response to 3 decimal places

.00253

  Question 13

 

It has been discovered that the heights of male students follows a normal distribution curve with a mean of 1.75 and a standard deviation of 0.08m. Determine the probablity of a student exceeding 1.85m tall. Use the table of normal values (normal ...