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Statistics, EXT1 S1 EQ-Bank 1 MC

If `X` equals the number of successes in `n` independent Bernoulli trials, how many distinct values can `X` take?

  1. `\ n-1`
  2. `\ n(n-1)`
  3. `\ n`
  4. `\ n+1`
Show Answers Only

`D`

Show Worked Solution

`text(Distinct values of)\ X\ text(in:)`

`text{1 trial = 2}\ \ (X=0 or 1)`

`text{2 trials = 3}\ \ (X=0, 1 or 2)`

 `vdots`

`n\ text{trials =}\ n+1\ \ (X=0, 1, …, n)`

`=>  D`

Filed Under: Statistics and Binomial Distributions (Ext1) Tagged With: Band 3, smc-1199-50-Other problems

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