Question

use ( n = 6 ) and ( p = 0.5 ) to complete parts (a) through (d) below.

(a) construct a binomial probability distribution with the given parameters.

$$\begin{array}{cc}x & p(x) \\hline0 & 0.0156 \\1 & 0.0938 \\2 & 0.2344 \\3 & 0.3125 \\4 & 0.2344 \\5 & 0.0938 \\6 & 0.0156 \\end{array}$$

(round to four decimal places as needed.)

(b) compute the mean and standard deviation of the random variable using ( mu_x=sumxcdot p(x) ) and ( sigma_x=sqrt{sumx^{2}cdot p(x)-mu_{x}^{2}} ).

( mu_x=square ) (round to two decimal places as needed.)

Explanation:

Step1: Calculate the mean

The formula for the mean \(\mu_X=\sum[x\cdot P(x)]\).

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Answer:

\(3.00\)