Question

In: Statistics and Probability

An experiment consists of four outcomes (A, B, C, D) with P(A) = 0.2, P(B) =...

  1. An experiment consists of four outcomes (A, B, C, D) with P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4.  The P(D) is
  1. 0.500
  2. 0.024
  3. 0.100
  4. 0.900
  1. Given that event E has a probability of 0.3, the probability of the complement of

event E

  1. cannot be determined with the above information
  2. can have any value between zero and one
  3. must be 0.7
  4. is 0.3

  1. If P(A) = 0.38, P(B) = 0.83, and P(A Ç B) = 0.57; then P(A È B) =  
  1. 1.21
  2. 0.64
  3. 0.78
  4. 1.78

  1. If P(A) = 0.62, P(B) = 0.47, and P(A È B) = 0.88; then P(A Ç B) =  
  1. 0.2914
  2. 1.9700
  3. 0.2700
  4. 0.2100

  1. If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then

P(A Ç B)=

  1. 0.30
  2. 0.15
  3. 0.00
  4. 0.20

  1. If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then

P(A È B)=

  1. 0.00
  2. 0.15
  3. 0.8
  4. 0.7

  1. If P(A) = 0.80, P(B) = 0.65, and P(A Ç B)= 0.38, then P(B\A) =
  1. 0.650
  2. 0.585
  3. 0.475
  4. not enough information is given to answer this question

  1. If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A\B) =
  1. 0.209
  2. 0.00
  3. 0.55

      d.   0.38

9.  The measure of location that is the most likely to be influenced by extreme values in

      the data set is

  1. the range
  2. the median
  3. the mode
  4. the mean

10.  The median is

      a.  the 50th percentile

      b.  another name for the variance

      c.  the difference between the largest and smallest values

      d.  the difference between the third quartile and the first quartile

11.  Which measure of location is meaningful when the data are qualitative?

       a.  the mean

       b.  the midrange

       c.  the median       

       d.  the mode

12.  The sum of deviations of the individual data elements from their mean is

      a.  always greater than zero

      b.  always less than zero

      c.  sometimes greater than and sometimes less than zero, depending on the data

          elements

      d.  always equal to zero

13.  The standard deviation of a sample of 49 observations equals 6.  The variance of the

       sample equals

      a. 6

      b. 7

      c. 36

      d. 625

  

    14.  Which of the following is a measure of location?  

         

  1. Range
  2. s
  3. µ

15.  Which of the following is NOT a measure of location?  

  1. Range
  2. Mean
  3. Median
  4. Mode
  5. All of the above are measures of location

16.  A method of assigning probabilities based upon best educated guess is referred to as  

a)    relative frequency method

b)    probability method

c)    classical method

d)    subjective method

17.  Find the sample standard deviation and variance of the values: 12, 14, 28, 33, and 19.   

      Units for data values in miles. Show all work with correct notation, decimal places  

       and units.

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