TSIA 2.0 Probabilistic and Statistical Reasoning

If three fair coins are tossed, what is the probability that all will come up showing tails?

The temperature at a location was recorded for 7 days. The median temperature was 80 degrees. On six of the days, the temperatures were 85, 80, 67, 77, 89 and 79 degrees. Which of the following is not a possible temperature for the fifth day?

• 82

• 78

• 84

• 83

A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that 23% of the students in the population saw a movie at least once per month. The margin of error for this estimation is 4%. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?

• It is unlikely that less than 23% of the students

  see a movie at least once per month.

• At least 23%, but no more than 25%, of the

  students see a movie at least once per month.

• The researcher is between 19% and 27% sure

  that most students see a movie at least once per

  month.

• It is plausible that the percentage of students

  who see a movie at least once per month is between 19% and 27%.

Lorrin took a series of five math tests. Her average score on the first three tests was 75. What must have been her average score on the last two tests so that her overall average across all five tests was 85?

• 85

• 90

• 95

• 100

• There is only one mode.

• The median is larger than the mean.

• The mean is larger than the median.

• The mean and the median are equal.

Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is 7?

Three fair coins are flipped. What is the probability that all three will be heads?