![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=efb3f10a3de6d8a8c0403c0b2e126641.png\")
.Step 1 :
\Passenger load for the water taxi was 3500 lb.
\Mean weight of men is 182.9 lb.
\Standard deviation of men is 40.8 lb.
\(a)
\If one man is randomly selected.
\Find the probability that he weight less than 174 lb.
\Probability of man weighs less than 174 lb is .
Standardize x to z using z - Score formula.
\z - Score formula is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=eacb4b957600720b067bfe237f9c2a04.png\")
.
Where σ is standard deviation,
\μ is the mean.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0337e69e28f77593c3b6dbc0b4ab500c.png\")
From z - score table the probability is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=75afe69b38bdc96539afca8f4d554344.png\")
.
Therefore ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=cd72abe0a4f7b9edce3192802cc468d5.png\")
.
\
\
\
(b)
\Step 1 :
\Passenger load for the water taxi was 3500 lb.
\Mean weight of men is 140 lb.
\Find the number of passengers are allowed to travel with specifications.
\Number of passengers are allowed to travel = ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1ddbde824f9bad489a87ef602307c4c0.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=be04474337aeed005ba7dc9fa3cb982f.png\")
Therefore 25 men are allowed to travel with mean 140 lb.
\\
\
\
(c)
\Step 1 :
\Passenger load for the water taxi was 3500 lb.
\Mean weight of men is 182.9 lb.
\Find the number of passengers are allowed to travel with specifications.
\Number of passengers are allowed to travel = .
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9cfffc28422f8a9c0111dc33f10200cd.png\")
Therefore 19 men are allowed to travel with mean 182.9 lb.
\\
\