Strengthen data and probability skills through statistical diagrams, grouped averages, probability rules, tree diagrams and conditional events.
Chetan owns a fruit shop.
In January, Chetan sold 560 kg of citrus fruit.
In February, Chetan sold 518 kg of citrus fruit.
The table below shows the weight of citrus fruit, berries and tropical fruit Chetan sold in March.
The table below gives information about the weight, in kg, of berries sold on each of the 30 days in April.
Chetan wants to buy 60 kg of apples for his shop from US traders or French traders.
US traders: 12 kg box of apples for $29.50, free delivery, buy 4 boxes and get a 5th box free.
French traders: 1.72 euros per kg of apples, total delivery cost of 22.80 euros, special offer of 15% off the cost of apples and delivery.
Exchange rate: euros.
Chetan is going to draw a pie chart for this information.
Calculate the size, in degrees, of the angle of the sector in the pie chart for the weight of berries sold in March.
Find the class interval that contains the median weight.
Calculate an estimate for the mean weight, in kg, of berries sold on each day in April.
Here are the weights, in kilograms, of 12 children.
Calculate
the median weight,
the mean weight.
One of these 12 children is chosen at random.
Find the probability that this child has a weight that is less than 28 kg.
Table 1 gives information about the probability that a biased red six-sided dice will land on each of the numbers 1,2,5,7,9,11.
Calvin rolls the red dice once.
Calculate the probability that the red dice lands on:
either the number 2 or the number 5
an odd number
a number less than 8
Pabel rolls the red dice twice.
Calculate the probability that the red dice lands on the numbers 2 and 5.
Tai rolls the red dice 80 times.
Calculate the expected number of times the red dice lands on a number less than 5.
A biased blue six-sided dice has faces numbered 2, 4, 6, 8, 10, 12.
The probability that the blue dice lands on the number 2 is 0.24.
The probability that the blue dice lands on the number 4 is 0.12.
In a game Tai rolls the red dice once and the blue dice once.
The number that the red dice lands on is added to the number that the blue dice lands on to give his score in the game.
Given that his score is less than 6, find the probability that the red dice lands on the number 2.
To pass a course, Preety has to pass two tests, test A and test B.
Each test only has to be passed once.
Passing test A and passing test B are independent events.
Preety has three attempts to pass test A.
The probability that she passes test A on her first attempt is
If she fails on her first attempt, the probability that she passes on her second attempt is
If she fails on her second attempt, the probability that she passes on her third attempt is
Calculate the probability she passes test A.
Preety has two attempts to pass test B.
The probability that she passes test B on her first attempt is .
The probability that she passes test B is .
Calculate the probability that Preety passes test B on her second attempt, given that she fails test B on her first attempt.
Preety decides to take the two tests only if the probability that she passes the course is greater than 0.5.
State whether or not Preety should take the two tests.
Give a reason for your answer.