In a binomial experiment with n=300 and p=0,5 find(^p> 0,6)
To find P(p > 0.6), we can calculate P(p ≤ 0.6) and subtract it from 1.
P(p ≤ 0.6) = P(p=0) + P(p=1) + P(p=2) + ... + P(p=180)
Since p=0.5, the probabilities of p values less than or equal to 0.6 are:
P(p=0) = (300 choose 0) * (0.5)^0 * (0.5)^(300-0) = 1 * 1 * 1 = 1
P(p=1) = (300 choose 1) * (0.5)^1 * (0.5)^(300-1) = 300 * 0.5 * 0.5^299 = 0
P(p=2) = (300 choose 2) * (0.5)^2 * (0.5)^(300-2) = 44850 * 0.25 * 0.5^298 = 0
Continuing on in the same manner, we can find P(p ≤ 0.6). Since P(p>0.6) = 1 - P(p ≤ 0.6), we can then calculate the probability.