Math  /  Data & Statistics

Question8) An office at the college reports there is a 70%70 \% chance of a student passing a certain professor's prealgebra class. Represent a student passing as a success. a) In a class of 25 students use the Binomial Probability Formula to find the probability that if 5 students are selected that exactly 3 pass. b) Determine the mean and standard deviation using the formulas on p234 of the text.

Studdy Solution
Calculate the standard deviation (σ\sigma) for the class of 25 students:
σ=N×p×(1p) \sigma = \sqrt{N \times p \times (1-p)}
=25×0.70×0.30 = \sqrt{25 \times 0.70 \times 0.30}
=5.25 = \sqrt{5.25}
2.29 \approx 2.29
The probability that exactly 3 out of 5 students pass is 0.3087 \boxed{0.3087} .
The mean number of students passing in a class of 25 is 17.5 \boxed{17.5} .
The standard deviation is approximately 2.29 \boxed{2.29} .

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