A random variable follows a binomial distribution with a probability of success equal to 0.69. For a sample size of n=11, find the values below . a. the probability of exactly 3 successes b. the probability of 5 or more successes c. the probability of exactly 9 successes d. the expected value of the random variable
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Step 1
For this problem, we have $n=11$, $k=3$, and $p=0.69$. Plugging these values into the formula, we get: $P(X=3) = \binom{11}{3} (0.69)^3 (1-0.69)^{11-3}$ Calculating this, we get: $\boldsymbol{P(X=3) \approx 0.0213}$ b. Show more…
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