+0

# Anyone can help

0
185
1

Complete the two-way frequency table below, which shows the distribution of blood types for students in their first year at a local college.

O        A       B     AB   Total

Male (M)       210    174   74     42

Female (F)   315     261   111    63

Total

What is P(F|A), and are the events "the student is female" and "the student has blood type A" independent events?

A: 261/1,250; they are independent because P(F ∩ A) ≠ P(F) ⋅ P(A)

B:87/250; they are dependent because P(F ∩ A) ≠ P(F) ⋅ P(A)

C:3/5; they are independent because P(F ∩ A) = P(F) ⋅ P(A)

D:1/4; they are dependent because P(F ∩ A) = P(F) ⋅ P(A)

Apr 24, 2018

#1
+101322
+1

O        A       B     AB     Total

Male (M)       210    174   74     42     500

Female (F)   315     261   111   63     750

Total             525     435   185  105   1250

P(F l A )  =  261/435  =  3/5

If independent  P(F and A)  = P(F) * PA)

P(F and A)  = 261 / 1250

P(F) = 750/1250      P(A)  = 435/ 1250

So....  P(F) * P( A)  =   (750/1250) * (435/1250)  = 261/1250

So  independent

P( F and A)  = P(F) * P(A)

So...  "C"  is correct

Apr 24, 2018