AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023 – Business Mathematics is a fundamental aspect of any business, providing tools for analysis and decision-making. As part of the Allama Iqbal Open University (AIOU) course code 1429, students delve into the intricacies of Business Mathematics. In this blog post, we will explore Assignment 1, spanning the first four chapters, covering five questions with a breakdown of each part.

### AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023

AIOU Course Code 1429 Solved Assignment 1 Autumn 2023 | |||||

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**Question 1: Probability in Quality Control**

The question begins with a comprehensive table detailing acceptable and unacceptable products across three types. From calculating the probability of selecting a product type at random to conditional probabilities, the question tests students on their understanding of basic probability concepts.

Q. 1 (a)

Product 1 | Product 2 | Product 3 | Total | |

Acceptable | 156 | 350 | 204 | 710 |

Unacceptable | 24 | 40 | 26 | 90 |

Total | 80 | 390 | 230 | 800 |

A sample of 800 parts has been selected from three product lines and inspected by the quality control department. The given table summarizes the results of the inspection. If a part is selected at random from this sample, what is the probability that:

- The part is of the product 1 type
- The part is unacceptable?
- The part is an acceptable unit of product 3?
- The part is an unacceptable unit of product 1?
- The part is acceptable, given that the selected part is a unit of product 2?
- The part is product 1, given that the selected part is acceptable?
- The part is product 3, given that the selected part is unacceptable?

(b) What is the meant by the sample space for an experiment? Write the sample spaces for the given experiments:

i) A day in June is chosen for a picnic.

ii) A coin is tossed and a die is rolled

iii) The manager of a small company must decide whether to buy office space of lease it.

**Question 2: Probability Distributions and Family Structures**

This question shifts the focus to probability distributions and family structures. Students are tasked with finding probabilities related to body types, such as overweight, and formulating a probability distribution for the number of boys in families with three children.

Q. 2 (a) A study on body types gave the following results: 45% were short, 25% were short and overweight, and 24% were tall and not overweight. Find the probability that a person is:

i) Overweight;

ii) Short, but not overweight;

iii) Tall and overweight.

(b) Find a formula for the probability distribution of the number of boys in families with three children assuming equal probabilities for boys and girls.

**Question 3: Visualization and Random Variables**

This question combines the graphical representation of a plane equation with assessing the validity of a given probability distribution for a random variable. It challenges students to apply mathematical concepts in visualizing equations and evaluating probability distributions.

Q. 3 (a) Sketch the plane representing 2x + 3y + 4z = 12

(b) If a random variable can take the values 0, 1, 2 and 3. Then check that whether the following satisfy the condition of being a probability distribution.

P(X=0) = 0.18 P(X=1) = 0.20 P(X=2) = 0.38 P(X=3) = 0.24

**Question 4: Intervals, Equations, and Interpretations**

Students are required to sketch various intervals on the number line, showcasing their understanding of different interval notations. The second part involves working with equations, converting them to slope-intercept form, identifying slopes and y-intercepts, and interpreting the meaning of slopes in a real-world context.

Q. 4 (a) Sketch the following intervals:

i) (–3, 0) ii) [–5, –3] iii) [–5, –1] iv) (5, 10] v) [–2, 3}

(b) Given the equation

i) Rewrite the equation in slope intercept form

ii) Identify the slope and y– intercept

iii) Interpret the meaning of the slope

**Question 5: Inequalities and Graphical Solutions**

The final question focuses on solving second-degree inequalities algebraically and graphically. Students tackle quadratic inequalities and then verify their solutions graphically. This question integrates both analytical and graphical problem-solving skills.

Q. 5 (a) Solve the following second degree inequality:

i) x^{2} + 4x – 12 ≤ 0 ii) 5x^{2} – 13x – 6 ≥ 0

(b) Solve graphically and check your answer algebraically.

–x + 3y = 2

4x – 12 = –8

### Conclusion: AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023

AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023 provides students with a holistic review of probability, probability distributions, graphical representations, and inequalities. The questions are designed to reinforce theoretical concepts while challenging students to apply their mathematical knowledge to practical scenarios. By mastering these assignments, students are better equipped to navigate the mathematical intricacies of the business world.

## FAQ’s

### Is AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023 accurate?

Yes

### What is the last date of Submission of AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023?

Last date of submission of AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023 is 01-04-2024.

### How many questions are there in AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023?

There are 5 questions in AIOU Course Code 1429 Business Mathematics Solved Assignment 1 Autumn 2023.