Multiple choice

In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most on negative value in five trails is

  1. $\frac{1}{32}$
  2. $\frac{2}{32}$
  3. $\frac{3}{32}$
  4. $\frac{6}{32}$
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D Correct answer
Explanation

Using binomial distribution with n=5 and p=0.5, the probability of at most one negative value is P(X=0) + P(X=1). P(X=0) = (0.5)^5 = 1/32. P(X=1) = 5 * (0.5)^1 * (0.5)^4 = 5/32. Total = 6/32.

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