It is estimated that 13% of th
It is estimated that 13% of those taking the quantitativemethods portion of the certified public accountant (CPA)examination fail that section. Seventy seven students are takingthe examination this Saturday. a-1. How many would you expect tofail? (Round the final answer to 2 decimal places.) Number ofstudents a-2. What is the standard deviation? (Round the finalanswer to 2 decimal places.) Standard deviation b. What is theprobability that exactly six students will fail? (Round the finalanswer to 4 decimal places.) Probability c. What is the probabilityat least six students will fail? (Round the final answer to 4decimal places.) Probability
Answer:
Given, p = 0.13 and n = 77
Answer a-1)
10.01 studentd are expected to fail
Answer a-2)
The population standard deviation is computed as:
The standard deviation is 2.95
Answer b)
The probability that exactly six students will fail is0.0581
Answer c)
We have to find P(X ≥ 6)
P(X ≥ 6) = 1 – P(X ≤ 5)
P(X ≥ 6) = 1 – P(X ≤ 5) = 1 – 0.0544 = 0.9456
The probability at least six students will fail is0.9456
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