Checkpoint: Binomial Probability Solution

From Example 6, determine the probability that exactly one student has earned a merit scholarship.

P(one merit scholarship)=nCr40, 1·0.031·0.97401=0.365837%

There is a 37% chance that exactly one student will have earned a merit scholarship.

Note

Q: Is it more or less likely that ten students would earn a merit scholarship? Explain.

A: It is less likely because ten students are much more than 3% of the sample.

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