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Figure out multiple probability questions

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?

Solution Summary

The solution provides detailed explanation how to figure out multiple probability questions.