<p>(1) The probability that an air defense warning station correctly detects an incoming missile only 0.4. How many of these warning stations, operating independently but in the same area , would be needed in orders that the probability of at least one detecting an enemy missile is at least 0.99?</p>
<p>(2) Dan loves playing solitaire on his computer. He observes the probability of winning a game is 0.12, and he would like to win at least one game on three fourths of the days he plays; that is, the probability of winning at least one game on any day is 0.75. Assume solitaire is a Bernoulli trial (binomial distribution); how many games should he plan to play per day?</p>