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- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test

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- Question 1 of 10
##### 1. Question

A six-sided biased die is rolled 20 times and the number appearing uppermost is noted each time. The numbers uppermost on the six-sided die are:

\(4{\rm{ }}1{\rm{ }}6{\rm{ }}3{\rm{ }}5{\rm{ }}1{\rm{ }}4{\rm{ }}6{\rm{ }}3{\rm{ }}2{\rm{ }}5{\rm{ }}1{\rm{ }}6{\rm{ }}5{\rm{ }}2{\rm{ }}4{\rm{ }}2{\rm{ }}3{\rm{ }}5{\rm{ }}2\)

Estimate the experimental probability of rolling a “five” or “six” with this die.

Experimental probability =

CorrectIncorrect##### Hint

\(\text{Experimental probability } = \dfrac{{\text{favourable outcomes }}}{{\text{total number of trials }}}\)

- Question 2 of 10
##### 2. Question

A letter is selected from Alphabet. The probability of choosing a letter that is one of ABBA is \(\dfrac{a}{b}\). Find \(a\) and \(b\), where \(a\) and \(b\) have no common factors.

\(a = \) , \(b = \)

CorrectIncorrect - Question 3 of 10
##### 3. Question

7 cards numbered 2, 3, 4, 5, 6, 7, and 8 are placed in a hat. Two are taken simultaneously. Find the probability that both are odd. Answer to two decimal places.

CorrectIncorrect - Question 4 of 10
##### 4. Question

Given \(P\left( A \right) = \dfrac{1}{2}\) and \(P\left( B \right) = \dfrac{1}{3}\), find \(P\left( {\text{neither}\;A\;\text{nor}\;B} \right)\), correcting to one decimal place.

CorrectIncorrect - Question 5 of 10
##### 5. Question

The probability that a door is unlocked is 0.1. Only one of the five keys will unlock the door she wishes to enter. She only has time to try one key. Find the probability that she will not be able to get into the room.

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the financial expectation of a ticket in a raffle. The raffle has 500 tickets and there is one prize worth 200 dollars.

dollar(s)

CorrectIncorrect - Question 7 of 10
##### 7. Question

State the following data as categorical or numerical.

*a teacher marks her student’s homework with a grade A, B, C, D, or E.*CorrectIncorrect - Question 8 of 10
##### 8. Question

A sport club in a city wants to improve its facilities. Some of residents object this due to noisy. To support its case the sport club asks all members in the club to sign a petition. State the intended population.

CorrectIncorrect - Question 9 of 10
##### 9. Question

Find \( a, b, c, d, e, f, g \) and the mean.

\( \begin{array}{|c|c|c|} \hline

Score (x) & Frequency (f) & f \times x \\ \hline

5 & a & 5 \\ \hline

10 & 9 & b \\ \hline

15 & c & 165 \\ \hline

20 & 15 & d \\ \hline

25 & e & 350 \\ \hline

Total & f & g \\ \hline

\end{array} \)\(a = \)

\(b = \)

\(c = \)

\(d = \)

\(e = \)

\(f = \)

\(g = \)

\(\bar x = \)

CorrectIncorrect - Question 10 of 10
##### 10. Question

Describe the strength of the linear relationship with correlation coefficient \(r = – 0.3\).

CorrectIncorrect