Answer:
0.8497
Step-by-step explanation:
Given that:
n = 10 ; number who wear sunglasses = atleast 6 ; proportion, p = 0.7
Using binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
To save computation time, we can use a binomial probability calculator :
P(x =6) = 0.2001
P(x = 7) = 0.2668
P(x = 8) = 0.2335
P(x = 9) = 0.1211
P(x = 10) = 0.0282
= 0.2001 + 0.2668 + 0.2335 + 0.1211 + 0.0282
= 0.8497