(b) If 60% customers would spend more than $k for a piece of cake, what is the value of k?
nstead of selling only coffee, the cafe also sells sliced cakes. It is known that the spending on a piece of cake follows a
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(a) What is the probability that a customer spends less than $30 for a piece of cake?
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(b) If 60% customers would spend more than $k for a piece of cake, what is the value of k?
Solution of (b) ?(?>k)=0.6
?(? < ? < 32) = 0.6 − 0.5 = 0.1
? (? − 32 < ? < 0) = 0.1 6
As P(-0.25 < Z < 0) = 0.1 from table
? − 32 = −0.25 6
k = 32 + (-0.25)(6) = 30.5
Could someone explain why that 0.6 need to be less of 0.5??? And explain how to know the Y is lesser than 32?
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