7.) Miller Beer needs its beer to be somewhat bitter, but not too bitter, in order to maximize sales revenue from Wisconsin Bros. The standard way of measuring bitterness is the number of IBUs or International Bitterness Units. A batch of Old Milwaukee beer has on average 24 IBUs with a standard deviation of 3.1 IBUs, moreover IBUs are distributed normally across beer batches. If the batch of beer has more than 28 IBUs Wisconsin Bros declare the beer "liberal, coastal elite beer" and refuse to drink it. If the beer has fewer than 18 IBUs Wisconsin Bros declare the beer "weak" and also refuse to drink it. What is the probability that a randomly drawn batch of beer will be undrinkable to Wisconsin Bros?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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7.) Miller Beer needs its beer to be somewhat bitter, but not too bitter, in order to maximize sales revenue from Wisconsin Bros. The standard way of measuring bitterness is the number of IBUs or International Bitterness Units. A batch of Old Milwaukee beer has on average 24 IBUs with a standard deviation of 3.1 IBUs, moreover IBUs are distributed normally across beer batches. If the batch of beer has more than 28 IBUs Wisconsin Bros declare the beer "liberal, coastal elite beer" and refuse to drink it. If the beer has fewer than 18 IBUs Wisconsin Bros declare the beer "weak" and also refuse to drink it. What is the probability that a randomly drawn batch of beer will be undrinkable to Wisconsin Bros?

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