Answer:
P (x>5) = 0.5324014=0.523
Step-by-step explanation:
Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3
Number of surgeries= n= 8
Applying the binomial distribution
( p+q) ^n= nC x p^x . q^n-x
More than 5 means 6,7, and 8
( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3
=56* 0.16807*0.027
= 0.254121
( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2
= 28* 0.1177* 0.09
= 0.296604
( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1
= 8* 0.0824* 0.3
= 0.19776
( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0
= 1* 0.05765* 1
=0.05765
Adding the above all probabilities gives
P (x>5) = P (x=6) + P(x=7) + P(x=8)
= 0.296604+0.19776+0.05765
= 0.5324014
