A random survey of seventh and eighth grade students was conducted to find out how many hours are spent doing homework each nigh
t. Of the two sets of data, which has the greater median?
A: seventh graders
B: eighth graders
C: they have the same median
D: impossible to determine from the box plot
A: seventh graders
B: eighth graders
C: they have the same median
D: impossible to determine from the box plot
1 answer:
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Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I B)
Formula for P(P Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
<em>P(P </em><em> Q) = P(P) + P(Q)</em>
P(I B) = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = <em>0.74</em>
So, the answers are:
<em>a) 0.68</em>
<em>b) 0.08</em>
<em>c) 0.74</em>