Math  /  Data & Statistics

QuestionQuestion In a town, a pediatric nurse is concerned about the number of children who have whooping cough during the winter season. Of the 3,492 children living in a town, 623 of them have whooping cough.
Determine the probability that in a sample of 33 children, 7 or fewer of them have whooping cough. Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated zz-score to two places and all other final answers to three places.
Use the zz-table below: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hlinezz & 0.00 & 0.01 & 0.02 & 0.03 & 0.04 & 0.05 & 0.06 & 0.07 & 0.08 & 0.09 \\ \hline 0.0 & 0.500 & 0.504 & 0.508 & 0.512 & 0.516 & 0.520 & 0.524 & 0.528 & 0.532 & 0.536 \\ \hline 0.1 & 0.540 & 0.544 & 0.548 & 0.552 & 0.556 & 0.560 & 0.564 & 0.567 & 0.571 & 0.575 \\ \hline 0.2 & 0.579 & 0.583 & 0.587 & 0.591 & 0.595 & 0.599 & 0.603 & 0.606 & 0.610 & 0.614 \\ \hline 0.3 & 0.618 & 0.622 & 0.626 & 0.629 & 0.633 & 0.637 & 0.641 & 0.644 & 0.648 & 0.652 \\ \hline 0.4 & 0.655 & 0.659 & 0.663 & 0.666 & 0.670 & 0.674 & 0.677 & 0.681 & 0.684 & 0.688 \\ \hline 0.5 & 0.691 & 0.695 & 0.698 & 0.702 & 0.705 & 0.709 & 0.712 & 0.716 & 0.719 & 0.722 \\ \hline 0.6 & 0.726 & 0.729 & 0.732 & 0.736 & 0.739 & 0.742 & 0.745 & 0.749 & 0.752 & 0.755 \\ \hline 0.7 & 0.758 & 0.761 & 0.764 & 0.767 & 0.770 & 0.773 & 0.776 & 0.779 & 0.782 & 0.785 \\ \hline \end{tabular}
Provide your answer below:

Studdy Solution
Use the z-table to find the probability corresponding to the calculated z z -score.
The probability that in a sample of 33 children, 7 or fewer of them have whooping cough is approximately:
0.XXX \boxed{0.XXX}

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