STA230/MTH230: Probability

Homework #3: Binomial & Normal

Text Problems are from Jim Pitman, Probability.

• Exercises
  

  § 2.1:		6	7	8	12
  § 2.2:		2	4	9	12
  § 2.3:		1	2

• Another Problem
  We usually treat tosses of a coin as equally-likely outcomes, with exactly the same probability ½ for the outcomes "Heads" and "Tails". Suppose the coin is actually biased, with P[Heads]=0.51. Find the exact or approximate (using the normal approximation to four decimal places, being careful about the ±½s) probability of observing strictly more Heads than Tails in in
  1. N=3 tosses (Give the exact answer)?
  2. N=3 tosses (Give the approximate answer, using normal)?
  3. N=100 tosses (Give the approximate answer, using normal)?

Good Luck!