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In: Statistics and Probability

You are rolling a fair dice 100 times. Let N be the number of times out...

You are rolling a fair dice 100 times.

  • Let N be the number of times out of 100, when you roll an odd number. What is the most suitable distribution for N? Type one of the following (Poisson, binomial, normal,geometric)  .
  • Determine the probability that the number of times N out of 100, when you roll an odd number is 60 or more P ( N ≥ 60 ) =  (use R and round to the third decimal place).
  • Which distribution is the most suitabe to be used as an approximation? Type one of the following (Poisson, binomial, normal,geometric)  .
  • Determine the expected value E ( N ) =  (integer) and the variance Var=  (integer) for the approximate distribution.

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