5.2 Roll a pair of dice. Let X be the largest value shown on the two dice. Use sample ()
to simulate five values of X.
5.8 A die is rolled five times. What is the probability of three or more rolls of four?
5.9 Suppose a decent bowler can get a strike with probability p=.3. What is the chance
he gets 12 strikes in a row?
5.10 A fair coin is tossed 100,000 times. The number of heads is recorded. What is the
probability that there are between 49,800 and 50,200 heads?
5.12 Use the binomial distribution to decide which is more likely: rolling two dice
twenty-four times and getting at least one double sixes, or rolling one die four times and
getting at least one six?
5.13 A sample of 100 people is drawn from a population of 600,000. If it is known
that 40% of the population has a specific attribute, what is the probability that 35 or fewer
in the sample have that attribute?
5.14 If Z is Normal(0, 1), find the following:
1. P(Z≤2.2)
2. P(−12.5)
4. b such that P(−b