Q1. For the following questions, would the following be considered significant if its probability is less than or equal to 0.05?
Is it significant to get a 12 when a pair of dice is rolled?
Q2. 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?
Q3. 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.
Q4. A sample space consists of 64 separate events that are equally likely. What is the probability of each?
Q5. 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.
Q6. 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
Q7. Suppose you have an extremely unfair coin: The probability of a head is and the probability of a tail is . If you toss the coin 32 times, how many heads do you expect to see
Q8. The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age. Determine the following using the table:
To what age may a female of age 60 expected to live on the average To what age is a male of age 70 expected to live on average?
How many 60-year old females on average will be living at age 61 How many 70-year old males on average will be living at age 71?