A Binomial Distribution Has 100 Trials (N = 100)with a Probability

question 33

Multiple Choice

A binomial distribution has 100 trials (n = 100) with a probability of success of 0.25 (π = 0.25) . We would like to find the probability of 34 or more successes using the normal distribution to approximate the binomial. Applying the continuity correction factor,what z-score should be used?

• A)2.079
• B)2.194
• C)1.963
• D)0.25

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Definitions:

Adequacy of Explanation

Refers to the extent to which an explanation sufficiently accounts for the evidence or reasons given, often evaluated in terms of completeness and clarity.

Framing

The way information is presented or phrased, which can significantly affect decisions and judgments by highlighting certain aspects over others.

Success Rate

A measure or percentage indicating the proportion of successes in a specific number of attempts or operations.

Failure Rate

A measure of the frequency at which an engineered system or component fails, expressed in failures per unit of time.