suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 45 college seniors is taken, approximate the probability that at least 24 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity.
suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 45 college seniors is taken, approximate the probability that at least 24 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 45 college seniors is taken, approximate the
Expert Solution
Step 1
Obtain the approximate probability that at least 24 have a job prior to graduation.
The approximate probability that at least 24 have a job prior to graduation is obtained below as follows:
Normal approximation to Binomial distribution:
Since, the value for np and nq are both greater than 5 which means that both the conditions are satisfied. Thus, the random variable X can be approximated to normal distribution.
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