Question

In: Statistics and Probability

A coach wants to select 3 of her 14 basketball players at random to lead warm-ups...

A coach wants to select 3 of her 14 basketball players at random to lead warm-ups before practice each week. The coach assigns each player a number from 01 to 14. Use the random numbers below to choose the three players.

289139 351124 543567 010119 300075 290923


Steps to use the random numbers above.
-Read the digits in consecutive pairs until you get the numbers for three of the players. (28, 91, 39, ...)
-Ignore 00 and any duplicates.
-Skip numbers like 28 and 35 because they do not represent any of the 14 players.

  • A.

    11, 01, 09

  • B.

    13, 14, 04

  • C.

    12, 13, 14

  • D.

    11, 01, 01

Solutions

Expert Solution

Answer -- >

A coach wants to select 3 of her 14 basketball players at random to lead warm-ups before practice each week.

The coach assigns each player a number from 01 to 14.

There are 14 player numbered from 01,02,03,…..,13,14.

Given the random numbers below to choose the three players.

289139             351124             543567             010119             300075             290923

Steps to use the random numbers above.

Step1) Read the digits in consecutive pairs until you get the numbers for three of the players. (28, 91, 39, ...)

Lets split the random numbers digits in consecutive pairs and select the three players using rules mentioned

step2) Ignore 00 and any duplicates

step 3) Skip numbers like 28 and 35 because they do not represent any of the 14 players. That is number must be greater than zero and less than 14

Strike through the ignored pair of digits

289139 :           28        91        39        -------> None of pair of digits is selected, all are greater than 14

351124 :           35        11        24       -------> “11” pair of digits is selected, rest of are greater than 14

543567 :           54        35        67        -------> None of pair of digits is selected, all are greater than 14

010119 :           01        01        19        -------> “01” pair of digits is selected. ignore duplicate and rest are > 14

300075 :           30        00        75        -------> None of pair of digits is selected, 00 ignored rest are >14

290923 :           29        09        23        -------> “09” pair of digits is selected, rest are > 14

Answer -- > 3 players with below numbers being selected

A. 11, 01, 09


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