Question

Home work According to a regional Bar Association, approximately 62% of the people who take the bar exam to practice law in the region pass the exam. Find the approximate probability that at least 63% of 400 randomly sampled people taking the bar exam will pass. Answer the questions below: The sample proportion is 0.63. What is the population proportion? s & Tests 062 (Type an integer or a decimal. Do not round.) lan bok Because an approximate probability is desired, the Central Limit Theorem might be applicable. In order to use the Central Limit Theorem for a proportio assumptions. The sample is random, and it is reasonable to assume the population size is at least 10 times the sample size, which would be at least 4000. If a simple random sample of 400 independent people take the bar exam, how many of them would be expected to pass, on average? Calculaten times p. Also calculate how many would be expected to fail, n times (1-P). State whether these are both more than 10. The expected number of people that pass, (Type whole numbers.) . is 10, and the expected number of people that fail i s Contents uccess Enter your answer in the edit fields and then click Check Answer Library ptions 5 parts remaining Clear All Check Answer OK e here to search

Answer 1

We are provided the following information:

• n = 400
• p = 0.63
• n * p = 400*0.63 = 252
• n *(1-p) = 148

The expected number of people that pass, 252 is greater than 10, and the expected number of people that fail, 148 is greater than 10.

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