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.

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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 probability that at least  24 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity.

 

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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:

Statistics homework question answer, step 1, image 1

Statistics homework question answer, step 1, image 2

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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