For this year's fundraiser, students at a certain school who sell at least 75 magazine subscriptions win a prize. If the fourth grade students at this school sell an average (arithmetic mean) of 47 subscriptions per student, the sales are normally distributed, and have a standard deviation of 14, then approximately what percent of the fourth grade students receive a prize

The percentage is  k  =  2.3%

Step-by-step explanation:

From the question we are told that

  The  population mean is  

    The  standard deviation is  

Given that the sales are normally distributed and that students at a certain school who sell at least 75 magazine subscriptions win a prize then the  percent of the fourth grade students receive a prize is mathematically represented as

Generally

So

From the standardized normal distribution table  

=>  

The  percentage of the fourth grade students receive a prize is  

  k =  0.023 * 100

   k  =  2.3%

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step-by-step explanation:

where is the questions