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Consider the population of all 1-gallon cans of dusty rose paint manufactured by

ID: 3350184 • Letter: C

Question

Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean = 5 ml and standard deviation = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round all answers to four decimal places.)

(a) P(x < 5) =   

(b) P(x < 5.4)=   

(c) P(x 5.4) =   

(d) P(4.8 < x < 5.2) =  

(e) P(x > 4.5) =   

(f) P(x > 4) =  

Explanation / Answer

a)

b)

c)

probability =P(X<=5.4)=P(X<5.4)=P(Z<2)=0.9772

e)

f)

for normal distribution z score =(X-)/
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