12) If the z-score of a data value is 2.8, then the data value is a 2.8 below th

ID: 2922197 • Letter: 1

Question

12) If the z-score of a data value is 2.8, then the data value is

a 2.8 below the mean

b 2.8 above the mean

c 2.8 standard deviations below the mean

d 2.8 standard deviations above the mean

13) If P(A) = 0.3, what is P(Ac)?

a 0

b 0.3

c 0.7

d 1

14) Two mutually exclusive events are events that

a have no common sample points

b have some common sample points

c are identical

15) The union of two events is the set of sample points that

a belong to both events

b belong to either event

c do not belong to either event.

16) If a coin is tossed twice, the probability of obtaining two heads in a row is

a zero

b 0.25(c) 0.50

(d) 0.75

(PLEASE SHOW ALL WORK)

12)
As we know that z-score is calculated using Central limit theorem

z = (x - mu)/sigma
As per this equation if z = 2.8, this means data value is 2.8 standard deviation above the mean

Hence option (D) is correct

13)
P(A') = 1 - P(A) = 1 - 0.3 = 0.7
hence option (C) is correct

14)
Mutually exclusive events do not have any common point.
Hence option (A) is correct

15)
union indicates either / or
hence option (B) is correct

16)
Probability of getting two heads in a row = (1/2)*(1/2) = 1/4 = 0.25
Hence option (B) is correct

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