Answer:
Explanation:
Given that a psychologist interested in right- handedness versus left-handedness. and in IQ scores collected the following data from a random sample of 2000 high school students.
High IQ Normal IQ
Right handed 190 1710 1900
Left handed 10 90 100
200 1800 2000
a) Using total probability theorem
The probability that a Student from this group has a high IQ
= Prob left handed and high iq + prob right handed and high iq
=

b) the probability that a student has a high IQ given that. she is left- handed
= Prob for left handed and high iq/prob for left handed
=

c) Prob for high IQ = 0.10
Prob for being left handed = 100/2000 = 0.05
Prob for high iq and left handed = 0.10
Since prob for both is not product of individual prob we find that the two events high IQ and left-handed are not independent