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ACI2601 Assignment 4 2025 (883849) - Due 15 August 2025 | COMPLETE ANSWERS

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Teaching Data Handling in the intermediate Phase - ACI2601 Assignment 4 2025 (Unique Number: 883849) - Due 15 August 2025; 100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 1.1 A bag contains a total of 10 marbles: 3 red marbles, 4 blue marbles, 2 green marbles, and 1 yellow marble. 1.1.1 If one marble is randomly drawn from the bag, what is the theoretical probability of drawing: 1.1.1.1 A red marble = ____________ 1.1.1.2 A blue marble = ____________ 1.1.1.3 A green marble = ____________ 1.1.1.4 A yellow marble = ____________ (4) 1.1.2 Conduct an experiment where you draw one marble at a time from the bag and record the colour, returning it each time. Repeat this 14 times. Use the table below to track your results: 1.1.3 Based on the results you found in question 1.1.2, calculate the experimental probability for each colour: 1.1.3.1 P(Red) = ____________ 1.1.3.2 P(Blue) = ____________ 1.1.3.3 P(Green) = ____________ 1.1.3.4 P(Yellow) = ____________ 1.1.4 How do the theoretical and experimental probabilities compare in your results? Mention one reason why they might be different. (7) (4) (2) 1.2 One letter is selected at random from the word STATISTICS. What is the probability that the letter is: 1.2.1 S 1.2.2 E

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August 9, 2025
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Written in
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ACI2601
ASSIGNMENT 4 2025

UNIQUE NO. 883849
DUE DATE: 15 AUGUST 2025

, 1.1

A bag: 10 marbles total — 3 red, 4 blue, 2 green, 1 yellow.

3
1.1.1 Theoretical probabilities (one draw) 1.1.1.1 𝑃(Red) = 10
= 0.300. 1.1.1.2
4 2 1
𝑃(Blue) = 10
= 0.400. 1.1.1.3 𝑃(Green) = 10
= 0.200. 1.1.1.4 𝑃(Yellow) = 10
= 0.100.




1.1.2 Experiment (14 draws, with replacement) (Sequence I used — you can copy
this into the table; totals below.)

Draw results (14 draws): B, R, B, G, B, B, R, G, B, R, B, G, R, B

Tally / Frequency table:

Colour Tally Frequency

Red |||| 4

Blue |||||| 6

Green ||| 3

Yellow | 1

Total 14



1.1.3 Experimental probabilities (from the 14 draws) Calculate: frequency ÷ 14
(rounded to 3 d.p.)

4 6
1.1.3.1 𝑃(Red) = 14
= 0.285714 ⇒ 𝟎. 𝟐𝟖𝟔. 1.1.3.2 𝑃(Blue) = 14
= 0.428571 ⇒ 𝟎. 𝟒𝟐𝟗.
3 1
1.1.3.3 𝑃(Green) = = 0.214286 ⇒ 𝟎. 𝟐𝟏𝟒. 1.1.3.4 𝑃(Yellow) = = 0.071429 ⇒
14 14

𝟎. 𝟎𝟕𝟏.

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