Which are the better statistics to use to compare the team scores? Team A's scores H 58 60 62 64 66 68 70 72 74 76 78 80 82 84 8
6 88 90 92 94 96 98 100 Team B's scores 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 O A. Median and standard deviation O B. Mean and standard deviation O C. Mean and IQR O D. Median and IQR
1 answer:
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Solution :
P(H) = 0.7 ; P(T) = 0.3
If heads, then Urn H, 1 blue and 4 red marbles.
If tails, then Urn T , 3 blue and 1 red marbles.
a).
P ( choosing a Red marble )
= P (H) x P( Red from Urn H) + P (T) x P( Red from Urn T)
= 0.56 + 0.075
= 0.635
b). If P (B, if coin showed heads)
If heads, then marble is picked from Urn H.
Therefore,
P (Blue)
= 0.2
c). P (Tails, if marble was red)
Where P (R/T) = P ( red, if coin showed tails)
= 0.25 (As Urn T is chosen)
P (R) = P (Red) = 0.635 (from part (a) )
P (T) = P (Tails) = 0.3
∴
= 0.118