Final answer:
To evaluate the given expression, substitute the values of p and n and round the result to three decimal places.
Step-by-step explanation:
To evaluate the given expression: 0.54 - pp(1 - p)^n, we need to substitute the values of p and n and round the result to three decimal places.
Given p = 0.5 and n = 38:
Substituting these values, the expression becomes:
0.54 - 0.5 * 0.5(1 - 0.5)^38
Simplifying further, we have:
0.54 - 0.25 * 0.5(0.5)^38
Calculating the value inside the parentheses, we get:
0.54 - 0.25 * 0.5(0.5)^38 = 0.54 - 0.25 * 0.5(0.5)^38 = 0.54 - 0.25 * 0.5^38
Finally, evaluating the expression:
0.54 - 0.25 * 0.5^38 = 0.54 - 0.25 * 0.0000000000000008881784197 = 0.54 - 0.0000000000000002220446049 = 0.5399999999999997779553951.