Binomial distribution

• Pinkbow6826

  28 Mar 11, 09:30

  At a stall in a fun-fair, games of chance are played. The probability that a participant
  wins a prize in each game is 0.05.
  (a) If the stall holder wants the probability of more than 5 prizes to be won on a
  particular day to be less than 0.1, find the largest number of games that can be
  played on that day.

   

  How to find the value of N using GC??

  Thanks!!

• wee_ws

  28 Mar 11, 15:23

  Hi,

    These steps apply to the TI-GC:

    1. Manually form the inequality, i.e., P(X <= 5) > 0.9.

    2. Go to the equation editor and enter the 'binomcdf' command, i.e.,

    binomcdf(X, 0.05, 5).

    3. Show the table of values, via 2ND, GRAPH buttons.

    4. Scroll down the values until you reach the row with a value less than 0.9. The row just above is the answer, i.e., 63 trials.

    Thanks.

  Cheers,
  Wen Shih