You are performing 5 independent Bernoulli trials with $p = 0.2$ and $q = 0.8$ . Calculate the probability of 2 successes. Round your answer to five decimal places if necessary.
A) 0.4
B) 0.0512
C) 0.04
D) 0.512
E) 0.2048

Question

You are performing 5 independent Bernoulli trials with $p = 0.2$ and $q = 0.8$ . Calculate the probability of 2 successes. Round your answer to five decimal places if necessary.  
A) 0.4
B)  0.0512
C)  0.04
D)  0.512
E)  0.2048

Quizplus · Accepted Answer

The probability of 2 successes in 5 trials is given by the binomial probability formula: $ P(X = 2) = \binom{5}{2} \times (0.2)^2 \times (0.8)^3 = 10 \times 0.04 \times 0.512 = 0.2048 $.

You Are Performing 5 Independent Bernoulli Trials With p=0.2p = 0.2p=0.2

You Are Performing 5 Independent Bernoulli Trials With $p = 0.2$