Let X Be a Binomial Random Variable with N =

question 176

Essay

Let x be a binomial random variable with n = 25 and p = 0.3.
a. Is the normal approximation appropriate for this binomial random variable?
b. Find the mean and standard deviation for x.
c. Use the normal approximation to find
d. How close was your approximation?
d. Use the cumulative binomial probabilities table in Appendix 1 of the textbook to calculate the exact probability Compare the results of parts c and

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Definitions:

Decision-Making Abilities

The capability to select between two or more alternatives to achieve the best outcome in a given situation.

Gender

Social and cultural distinctions associated with being male or female, as opposed to biological differences.

Biological Sex

The physical characteristics, such as reproductive and sexual anatomy, chromosomes, and hormone levels, that are used to classify individuals as male, female, or intersex at birth.

Reproductive Distinctions

The inherent or socially constructed differences in reproductive roles and functions among sexes and genders.