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Binomial Distribution Normal Approximation problems

Normal Approximation for Binomial Random Variable example problem

The median age of residents of the United States is 37.2 years. If a survey of 200 residents is taken, approximate the probability that at least 110 will be under 37.2 years of age.

 

Solution to this probability Binomial Distribution Normal Approximation practice problem is given in the video below!



Binomial Random Variable Normal Approximation HARD example question

The weekly amount sent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220.

(a) What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?

(b) What is the probability that the actual expenses would exceed $1500 for between 18 and 24 weeks, inclusive during the next year?

 

Solution to this probability Binomial Distribution Normal Approximation problem is given in the video below!






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