Aussie Maths & Science Teachers: Save your time with SmarterEd
During a year, the maximum temperature each day was recorded. The results are shown in the table.
From the days with a maximum temperature less than 25°C, one day is selected at random.
What is the probability, to the nearest percentage, that the selected day occurred during winter?
A group of Year 12 students was surveyed. The students were asked whether they live in the city or the country. They were also asked if they have ever waterskied.
The results are recorded in the table.
--- 4 WORK AREA LINES (style=lined) ---
Is this true, based on the survey results? Justify your answer with relevant calculations. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
In a survey of 200 randomly selected Year 12 students it was found that 180 use social media.
Based on this survey, approximately how many of 75 000 Year 12 students would be expected to use social media?
A. 60 000
B. 67 500
C. 74 980
D. 75 000
A group of 485 people was surveyed. The people were asked whether or not they smoke. The results are recorded in the table.
A person is selected at random from the group.
What is the approximate probability that the person selected is a smoker OR is male?
A new test has been developed for determining whether or not people are carriers of the Gaussian virus.
Two hundred people are tested. A two-way table is being used to record the results.
--- 1 WORK AREA LINES (style=lined) ---
What is the probability that the test results would show this? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
On a television game show, viewers voted for their favourite contestant. The results were recorded in the two-way table.
One male viewer was selected at random from all of the male viewers.
What is the probability that he voted for Contestant 1?
Lie detector tests are not always accurate. A lie detector test was administered to 200 people.
The results were:
• 50 people lied. Of these, the test indicated that 40 had lied;
• 150 people did NOT lie. Of these, the test indicated that 20 had lied.
--- 0 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
i.
ii.
iii.
iv.
Leanne copied a two-way table into her book.
Leanne made an error in copying one of the values in the shaded section of the table.
Which value has been incorrectly copied?
Each student in a class is given a packet of lollies. The teacher records the number of red lollies in each packet using a frequency table.
What is the relative frequency of a packet of lollies containing more than three red lollies?
The retirement ages of two million people are displayed in a table.
--- 1 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
Cecil invited 175 movie critics to preview his new movie. After seeing the movie, he conducted a survey. Cecil has almost completed the two-way table.
--- 1 WORK AREA LINES (style=lined) ---
What is the probability that the critic was less than 40 years old and did not like the movie? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Will this movie be considered a box office success? Justify your answer. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
A group of 150 people was surveyed and the results recorded.
A person is selected at random from the surveyed group.
What is the probability that the person selected is a male who does not own a mobile?
At another school, students who use mobile phones were surveyed. The set of data is shown in the table.
--- 1 WORK AREA LINES (style=lined) ---
--- 2 WORK AREA LINES (style=lined) ---
Ten new male students are surveyed and all ten are on a plan. The set of data is updated to include this information.
--- 2 WORK AREA LINES (style=lined) ---
Some men and women were surveyed at a football game. They were asked which team they supported. The results are shown in the two-way table.
What percentage of the women surveyed supported Team B, correct to the nearest percent?
A group of 347 people was tested for flu and the results were recorded. The flu test results are not always accurate.
A person is selected at random from the tested group.
What is the probability that their test result is accurate, to the nearest per cent?
The dot plot shows the number of push-ups that 13 members of a fitness class can do in one minute.
--- 1 WORK AREA LINES (style=lined) ---
Does the addition of this new member to the class change the probability calculated in part (i)? Justify your answer. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
Students studying vocational education courses were surveyed about their living arrangements.
One of these students is selected at random.
What is the probability that this student is male and living with his parent(s)?
