QCAA Maths Methods Discrete Random Variables Mini Test 2
External Assessment Paper 2 — Technology-active
Number of marks: 5
Perusal time: 30 seconds
Writing time: 7 minutes
Section 1
Instructions
• This section has 10 questions and is worth 10 marks.
• Use a 2B pencil to fill in the A, B, C or D answer bubble completely.
• Choose the best answer for Questions 1 10.
• If you change your mind or make a mistake, use an eraser to remove your response and fill in the new answer bubble completely.
When seeds of a certain variety of flower are planted, the probability of each seed germinating is 0.8.
If eight seeds are planted, what is the probability that at least six seeds will germinate?
- (A) 0.797
- (B) 0.503
- (C) 0.294
- (D) 0.001
The records of a shoe manufacturer show that 10% of shoes made are defective.
Assuming independence, the probability of getting 2 defective shoes in a batch of 20 is
- (A) 0.1937
- (B) 0.2852
- (C) 0.3917
- (D) 0.6083
Section 2
Instructions
• Write using black or blue pen.
• Questions worth more than one mark require mathematical reasoning and/or working to be shown to support answers.
• If you need more space for a response, use the additional pages at the back of this book.
– On the additional pages, write the question number you are responding to.
– Cancel any incorrect response by ruling a single diagonal line through your work.
– Write the page number of your alternative/additional response, i.e. See page …
– If you do not do this, your original response will be marked.
• This section has nine questions and is worth 45 marks.
At a particular orchard, 3% of fruit is bruised during picking. After picking, the fruit is packed into boxes, each containing four pieces of fruit.
A grocery shop orders 140 boxes of fruit to sell to their customers.
Determine the expected number of boxes that will contain bruised fruit.
END OF PAPER
