Reference no: EM13512081

1) A coin is flipped 14 times. Use the normal approximation to the binomial distribution to calculate the probability of a total of 4,5, or 6 heads. Compare this to the binomial probability.

2) If X is a binomial random variable, calculate P(x) for n=7, x=2, p=0.3

3) Two marbles are randomly drawn from a box containing 2 blue marbles and 3 red marbles. Determine the probability of observing each of the following events:
1. {2 blue marbles are drawn}
2. {A red marble and a blue marble are drawn}
3. {2 red marbles are drawn}