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Probability, STD2 S2 2012 HSC 26e

The dot plot shows the number of push-ups that 13 members of a fitness class can do in one minute.

2012 26e

  1.  What is the probability that a member selected at random from the class can do more than 38 push-ups in one minute?   (1 mark)

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  2.  A new member who can do 32 push-ups in one minute joins the class.

     

    Does the addition of this new member to the class change the probability calculated in part (a)? Justify your answer.   (1 mark)

    --- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

a.    `7/13`

b.    `text{Yes (See Worked Solutions)}`

Show Worked Solution

a.    `P= text(# Members > 38 push-ups)/text(Total members)= 7/13`

 
b.
    `text(Yes.)`

`Ptext{(+ New member)}` `= text(# Members > 38 push-ups)/text(Total members)`
  `= 7/14≠ 7/13`
MARKER’S COMMENT: The most successful candidates used fractions in part (b) rather than relying solely on words.

Filed Under: Expected/Relative Frequency, Probability, Relative Frequency, Relative Frequency, Relative Frequency, Relative Frequency, Venn Diagrams and Expected/Relative Frequency Tagged With: Band 3, Band 4, common-content, num-title-ct-core, num-title-qs-hsc, smc-1133-10-Surveys/Two-Way Tables, smc-4225-35-Relative frequency, smc-6888-30-Surveys, smc-6936-30-Relative Frequency, smc-827-10-Surveys/Two-Way Tables, smc-990-10-Surveys/Two-Way Tables

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