Foundation June 2022 Paper 1 Q12
12 The table gives information about the number of gold stars won by each of 25 students in class 7T last week.
| Number of gold stars | Number of students |
|---|---|
| 0 | 6 |
| 1 | 5 |
| 2 | 4 |
| 3 | 7 |
| 4 | 3 |
(a) Work out the mean number of gold stars won. (3)
A student in class 8R is to be chosen at random.
The probability that this student won at least one gold star last week is 0.39
(b) Work out the probability that this student did not win at least one gold star last week. (1)
| Scheme | Marks |
|---|---|
| (0 × 6) + (1 × 5) + (2 × 4) + (3 × 7) + (4 × 3) (= 46) or 0 + 5 + 8 + 21 + 12 (= 46) | M1 |
| ‘46’ ÷ 25 | M1 |
| 1.84 | A1 |
| (3) |
Notes
M1: for at least 4 products added or intention to add (need not be evaluated)
M1: dep on M1
A1: SC B1 for answer only of 2.08 oe
| Scheme | Marks |
|---|---|
| 0.61 | B1 |
| (1) | |
| (4 marks) |
Notes
B1: oe 61% or \(\dfrac{61}{100}\) oe