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# exam1solutions - Statistics 200 Exam 1 Name_SOLUTIONS Each...

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Statistics 200 Exam 1 Name:_____ SOLUTIONS ____________________________ Each problem is worth the same total number of points. Show how you get your answers. If you use a calculator function, then say what function you used and what you entered. Here are a few formulas and expressions as reminders: - - - = y i x i s y y s x x n r 1 1 x y s s r b = 1 x b y b 1 0 - = ) ( ) ( ) ( ) ( B and A P B P A P B or A P - + = ) | ( ) ( ) ( A B P A P B and A P = ) ( ) ( ) | ( A P B and A P A B P = - = - = = 2 2 2 ) ( ] ) [( ) ( X k k X X x p X E X Variance μ σ Y X Y X Y X ρσ 2 2 2 2 + + = + n ) 1 ( p np - n p p ) 1 ( - k n k p p k n k n - - - ) 1 ( )! ( ! ! 1 ! 0 =

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1. A company has 20 female workers whose average salary is \$43,000 and 30 male workers whose average salary is \$47,000. (a) What is the average salary for all 50 workers, or can this be determined? (20*43000 + 30*47000)/50 = 0.4*43000 + 0.6*47000 = \$45,400 (b) Among the female workers, 10 are younger than 35 years old and 10 are 35 or older. Among the male workers, 10 are younger than 35 years old and 20 are 35 or older. If a worker is selected at random what is the probability the worker is a female aged 35 or
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exam1solutions - Statistics 200 Exam 1 Name_SOLUTIONS Each...

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