document.write( "Question 1108333: The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.8 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.
\n" ); document.write( "(a) Find the probability that the drink is less than 11.6 fluid ounces.
\n" ); document.write( "(b) Find the probability that the drink is between 11.4 and 11.6 fluid ounces.
\n" ); document.write( "(c) Find the probability that the drink is more than 12.2 fluid ounces. Can this be considered an unusual event? Explain your reasoning. \n" ); document.write( "
Algebra.Com's Answer #723354 by UnlockStudyDocs(1)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "for normal distribution z score =(X-μ)/σ
\n" ); document.write( "a) probability that the drink is less than 11.6 fluid ounces\r
\n" ); document.write( "\n" ); document.write( "probability = P(X<11.6) = P(Z<-1)= 0.1587
\n" ); document.write( "b)\r
\n" ); document.write( "\n" ); document.write( "probability = P(11.4\n" ); document.write( "c)\r
\n" ); document.write( "\n" ); document.write( "probability = P(X>12.2) = P(Z>2)= 1-P(Z<2)= 1-0.9772= 0.0228
\n" ); document.write( "as this probability is less than 0.05 level of unusual events; therefore this be considered an unusual event\r
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