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:
Category | Mean Spending (in $) | Standard Deviation (in $) |
---|---|---|
Movies | 50 | 10 |
Concerts | 70 | 15 |
Sports Events | 40 | 8 |
Theater | 60 | 12 |
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.