QUESTION: 80% of the Quant 2600 students pass the class. Assume that ten students are registered...

QUESTION: 80% of the Quant 2600 students pass the class. Assume that ten students are registered for the course.

a. What probability distribution works best for this problem? Binomial, Poisson, Hypergeometric, or Normal

b. What is the expected number of students that will pass the course? (2 decimal places) c. What is the standard deviation of students that will pass the course? (2 decimal places) d. What is the probability that exactly 8 will pass the course? (4 decimal places)
e. What is the probability that at least 8 students will pass the course? (4 decimal places)

Solutions

Expert Solution

Answer a)

The probability distrbution that works best for this problem is binomial

Answer b)

The population proportion of success is p = 0.80, and the sample size is n= 10.

The expected number of students that will pass the course is 8

Answer c)

The population standard deviation is computed as:

The standard deviation of students that will pass the course is 1.2649

Answer d) 0.3020

Answer e) 0.6778

orchestra answered 1 year ago

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