Download 2nd Test Practice

Stats and IDC – Flip the Classroom Parina
https://www.youtube.com/watch?v=biTMjPNv7m8&t=12s – Tangent and Normal Lines
1. Point P has an x-coordinate 2. Find the equation of the tangent to the curve y = x3 – 3 at
P. Give your answer in the form y = mx + c.
2. Point P has x-coordinate -4. Find the equation of the normal to the curve y =
12
𝑥
at P.
Give your answer in the form ax + by + c = 0, where a, b, c 𝜖 Z
3. The gradient of the tangent to the curve y = ax2 at point P(3,b) is 30. Find the values of a and b.
4. How does Parina sign off from the video – what is his closing statement?
https://www.youtube.com/watch?v=cY2KNvLz0Mo – Probability
1. Leanne goes fishing at her favorite pond. The pond contains four different types of fish: bream, flathead, whiting
and salmon. The fish are either undersized or normal. This information is shown the in the table below.
(a) Write down the total number of fish in the pond.
Size/Type of fish Bream
Flathead
Whiting
Salmon
Total
3
12
18
9
42
Undersized
0
11
24
13
48
Normal
3
23
42
22
Total
Leann catches a fish.
(b) Find the probability that she
(i)
Catches an undersized bream;
(ii)
Catches either a flathead or an undersized fish or both;
(iii)
Does not catch an undersized whiting;
(iv)
Catches a whiting given that the fish was normal.
Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the
probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.
(c) Copy and complete the probability tree diagram below.
Fish
0.1
Windy
0.3
______
No Fish
Fish
____
0.65
NonWindy
_______
No Fish
(d) Calculate the probability that it is windy and Leanne catches a fish on a particular day.
(e) Calculate the probability that Leanne catches a fish on a particular day.
(f) Use your answer to part (c) to calculate the probability that Leanne catches a fish on two consecutive days.
(g) Given that Leanne catches a fish on a particular day, calculate the probability that the day was windy.
2. What team does Parina support?
Stats and IDC – Flip the Classroom Parina
https://www.youtube.com/watch?v=biTMjPNv7m8&t=12s – Tangent and Normal Lines
1. Point P has an x-coordinate 2. Find the equation of the tangent to the curve y = x3 – 3 at
P. Give your answer in the form y = mx + c.
2. Point P has x-coordinate -4. Find the equation of the normal to the curve y =
12
𝑥
at P.
Give your answer in the form ax + by + c = 0, where a, b, c 𝜖 Z
3. The gradient of the tangent to the curve y = ax2 at point P(3,b) is 30. Find the values of a and b.
4. How does Parina sign off from the video – what is his closing statement?
https://www.youtube.com/watch?v=cY2KNvLz0Mo – Probability
1. Leanne goes fishing at her favorite pond. The pond contains four different types of fish: bream, flathead, whiting
and salmon. The fish are either undersized or normal. This information is shown the in the table below.
(h) Write down the total number of fish in the pond.
Size/Type of fish Bream
Flathead
Whiting
Salmon
Total
3
12
18
9
42
Undersized
0
11
24
13
48
Normal
3
23
42
22
Total
Leann catches a fish.
(i) Find the probability that she
(v)
Catches an undersized bream;
(vi)
Catches either a flathead or an undersized fish or both;
(vii)
Does not catch an undersized whiting;
(viii) Catches a whiting given that the fish was normal.
Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy days the
probability she catches a fish is 0.65. The probability that it will be windy on a particular day is 0.3.
(j) Copy and complete the probability tree diagram below.
Fish
0.1
Windy
0.3
______
No Fish
Fish
____
0.65
NonWindy
_______
No Fish
(k) Calculate the probability that it is windy and Leanne catches a fish on a particular day.
(l) Calculate the probability that Leanne catches a fish on a particular day.
(m) Use your answer to part (c) to calculate the probability that Leanne catches a fish on two consecutive days.
(n) Given that Leanne catches a fish on a particular day, calculate the probability that the day was windy.
2.
What team does Parina support?