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In a binomial experiment the probability of success is 0.06. what is the probability of two successe...
4 months ago
Q:
In a binomial experiment the probability of success is 0.06. what is the probability of two successes in seven trials? 0.0600 0.0555 0.0866 0.0036
Accepted Solution
A:
Fill in the values into the base equation;
p(X=x)=(nCr)(0.06)ˣ(0.94)⁽ⁿ⁻ˣ⁾
Where n is the number of trials, x is the probability of success, p is probability of success and q is the probability of failure.
X~B(7, 0.06)
P(X=2)=(7C2)(0.06)²(0.94)⁵
P(X=2)=0.05548
Double check by inputting into a scientific calculator;
P(X=2)=0.05548 ≈ 0.0555
Hope I helped :)