Answer:
p(x≤2)
0.926
Explanation:
1. The probability of getting 2 stones with a diameter of 0.75 or greater can be given as
P(x≤2)
2. We have λ = 26/27
= 0.963 per cubic foot
We use the poisson distribution here;
P(x) = e^-λ(Rλ)^x/x!
P(x≤2) = p(x=0)+p(x=1)+p(x=2)
= e^-0.963 + e^-0.963(0.963) + e^-0.963(0.963)²/2!
= 0.3817+0.3675+0.1769
= 0.926