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Calculating Expectation

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by

Mr Mattock

on 19 January 2018

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Transcript of Calculating Expectation

Calculating Expectation
Starter
In a bag there are red and blue counters. The probability of selecting a red counter from the bag is 4 .
5

(a) If the bag contains 5 counters, how many are red?

(b) If the bag contains 10 counters, how many are red?

(c) If the bag contains 100 counters, how many are red?

(d) If there are 75 counters in the bag, how many are red?
Calculating Expectation
In a bag there are red and blue counters. The probability of selecting a red counter from the bag is 4
5

(a) If the bag has 85 counters in how many are red?

(b) If the bag has 130 counters in how many are red?
Example
For a particular set of traffic lights, the probability of encountering a red light is 0.3.

If 14760 cars pass the set of lights in a week, how many cars would you expect to have to stop at the red light?
L.O. - To use a probability to calculate the expected number of a particular result.
Main Activity
Complete the Red, Amber, Green Activity sheet.
Red - (1) 0.02 x 30000 = 600 toast
(2) 0.8 x 240 = 192 drawing pins
(3) 0.7 x 120000 = 84000 plants
Amber - (4) x 1300 = 52 planes delayed.
(5) (a) x 240 = 40 times.
(b) x 240 = 120 times.
(c) x 240 = 160 times
(d) x 240 = 80 times
Green - (6) (a) 0.111
(b) Cumulus - 110, Stratocumulus - 91
Stratus - 54, Altocumulus - 40, Cirrus - 18
Cirrocumulus - 7, Nimbostratus - 2
Cumulonimbus - 1
1
25
1
6
3
6
4
6
2
6
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Starter
In a bag there are red and blue counters. The probability of selecting a red counter from the bag is 4 .
5

(a) If the bag contains 5 counters, how many are red?
4

(b) If the bag contains 10 counters, how many are red?
8

(c) If the bag contains 100 counters, how many are red?
80

(d) If there are 75 counters in the bag, how many are red?
60
Example
For a particular set of traffic lights, the probability of encountering a red light is 0.3.

If 14760 cars pass the set of lights in a week, how many cars would you expect to have to stop at the red light?


0.3 x 14760 = 4428
Calculating Expectation
In a bag there are red and blue counters. The probability of selecting a red counter from the bag is 4
5

(a) If the bag has 85 counters in how many are red?
68

(b) If the bag has 130 counters in how many are red?
104
Activities
Activity
Answers

Key
Examples

Worked
Example
Worked
Example
Full transcript