1) For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05?
a.Is it "significant" to get a 12 when a pair of dice is rolled?
b. Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a school bus to arrive late?
2) If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. What is the probability of getting at least one head?
3) A sample space consists of 64 separate events that are equally likely. What is the probability of each?
4) A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?
5) The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.
112,000 126,000 90,000 133,000 94,000
112,000 98,000 82,000 147,000 182,000
86,000 105,000 140,000 94,000 126,000
119,000 98,000 154,000 78,000 119,000
6) Suppose you have an extremely unfair coin: The probability of a head is ¼ and the probability of a tail is ¾. If you toss the coin 32 times, how many heads do you expect to see?
The solution provides detailed explanation how to figure out multiple probability questions.