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Digital SAT
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Probability of Household Spending on Concerts

Hard Problem Solving And Data Analysis Data Interpretation

In a certain town, a survey was conducted to analyze the spending habits of households on different categories of entertainment per month. The results are summarized in the table below:

CategoryMean Spending (in $)Standard Deviation (in $)
Movies5010
Concerts7015
Sports Events408
Theater6012

If the average monthly entertainment spending for a household is normally distributed, what is the probability that a randomly selected household spends more than $80 on entertainment in concerts? Use the mean and standard deviation for concert spending from the table to derive your answer. Express your answer in decimal form, rounded to four decimal places.

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