The amount of money spent on red balloon in a certain college town when the football team is in town is a normal random variable with mean $5 and a standard deviation of $3000. what proportion of home football game days in this town is less than $45000 worth of red balloons sold?

0.0475

Step-by-step explanation:

Given : The amount of money spent on red balloon in a certain college town when the football team is in town is a normal random variable with

and

Let x be the random variable that represents the  amount of money spent on red balloon.

Using formula , the z-score corresponding to x= 45000 will be :_

Now, by using the standard normal distribution table for z, we have

P value :

∴The proportion of home football game days in this town is less than $45000 worth of red balloons sold = 0.0475

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