The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a standard deviation of 10. Approximately what percentage of buckets contain between 1600 and 1620 pieces of popcorn?

Approximately 68%

Approximately 75%

Approximately 95%

Approximately 99.7%

a approximately 68%

its the only one that works

Answer:A. Approximately 68%Step-by-step explanation:The number of pieces of popcorn in a bucket is normally distributed.Mean = μ = 1610Standard deviation = б = 10We know that in a normal distribution, approximately 34% of bags will fall within one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.A table of normal distribution of the mean is attached for better understanding.Our range is:1600 to 16201610 – 10 to 1610 + 10μ ± бmean ± 1 standard deviationOur range is within 1 standard deviation. Hence, Approximately 68% of buckets contain between 1600 and 1620 pieces of popcorn.