aiou solved assignment spring 2022 code 1429

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AIOU Course Code 1429-1 Solved Assignment Spring 2022

Course: Business Mathematics (1429)

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Semester: Spring, 2022

ASSIGNMENT No. 1

(a)            

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

180 /800 = 0.225

• The part is unacceptable

If unacceptable so the calculation not possible.

• The part is an acceptable unit of product 3

230 / 800 = 0.2875

• The part is an unacceptable unit of product 1

800 / 180 = 4.44

• The part is acceptable, given that the selected part is a unit of product 2

390 / 800 = 0.4875

• The part is product 1, given that the selected part is acceptable

570 / 800 = 0.7125

• The part is product 3, given that the selected part is unacceptable

800 / 390 = 2.051

(b)    What is the difference between the states of statistical independence and statistical dependence?

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life: If you want to attend a concert, it might depend on whether you get overtime at work; if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events:

• Robbing a bank and going to jail.
• Not paying your power bill on time and having your power cut off.
• Boarding a plane first and finding a good seat.
• Parking illegally and getting a parking ticket. Parking illegally increases your odds of getting a ticket.
• Buying ten lottery tickets and winning the lottery. The more tickets you buy, the greater your odds of winning.
• Driving a car and getting in a traffic accident.

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the  probability  of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

• When two events are independent, one event does not influence the probability of another event.
• Owning a dog and growing your own herb garden.
• Paying off your mortgage early and owning a Chevy Cavalier.
• Winning the lottery and running out of milk.
• Buying a lottery ticket and finding a penny on the floor (your odds of finding a penny does not depend on you buying a lottery ticket).
• Taking a cab home and finding your favorite movie on cable.
• Getting a parking ticket and playing craps at the casino.
• Here are more formal ways to quantify dependent or independent events. You’ll come across these formulas in basic  probability .
• P(A|B) = P(A).
• P(B|A) = P(B)

The probability of A, given that B has happened, is the same as the probability of A. Likewise, the probability of B, given that A has happened, is the same as the probability of B. This shouldn’t be a surprise, as one event doesn’t affect the other. You can use the following equation to figure out probability for independent events: P(A∩B) = P(A) · P(B).

(a)    Unemployment statistics within a western state indicate that 6 percent of those eligible to work are unemployed. Suppose that an experiment is conducted where three persons are selected at random and their employment status is noted. If the random variable for this experiment is defined as the number of persons unemployed.   

• i) Construct the probability distribution for this experiment and determine the probability that
• ii) None of three is unemployed

iii)     Or two or more are employed

(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.

• All girls – 0.5*0.5*0.5 =0.125 (12.5%)
• 2Boys 1 Girl — 3C2 * 0.125 = 37.5%
• At least 2 girls — 2Girls 1 boy + all girls = 37.5% +12.5% = 50%
• 2 Boys at most — All posibilities — P(all boys) = 100%– 12.5% =67.5%

(a)    Sketch the plane representing 2x + y + 0z = 4

(b)    The average size of farms in the United State increased from 100 acres in 1920 to 700 acres in 1980. Let y be the average size x years after 1900. In what year was the average size 400 acres?

Number of years = 1980 – 1920 = 60

Total growth in farm size between (1920-1980) = 700 acres

Average yearly growth in farm size (x) = (700 acres – 100 acres)/ 60 = 600/60 = 10 acres

10 acres X 30 years = 300 acres

1920 + 30years = 1950

(a)    Sketch the following intervals.                                                                       

• ii) [–5, –3]

iii)     [–5, –1) 

• iv) (5, 10]

(b)    Solve:         

• i) |7x – 12 | = |4–3x|
• ii) [5x – 4| £ –10

(a)    The value of machine is expected to decrease at a liner rate over the time. Two data points indicate that the value of the machine at t=0 (time of purchase) is $18,000 and its value in 1 year will equal $14,500.                                                                      

• i) Determine the slope intercept equation (V = mt + k) which relates the value V of the machine to its age t.

The two ordered pairs are (0, 18000) and (1, 14500).

So, the equation will be

⇒ V – 18000 = – 3500t

⇒  V = – 3500t + 18000 (Answer)

• ii) Interpret the meaning of the slope and V intercept.

Now, the slope in the above equation i.e. – 3500 is the rate of decrease of machine value in $ per year.

And the V-intercept 18000 gives the initial value of the machine.

iii)     Solve for the t intercept and interpret its meaning.

The t-intercept will give

0 = – 3500t + 18000

⇒  t = 5.14 years.

This means the value of the machine will become zero after 5.14 years.

(b)    Solve graphically and check your answer algebraically.                               

                        –x + 3y = 2

                        4x – 12 = –8

x=1 and y=1

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AIOU Solved Assignment Code 1429 Spring & Autumn 2023 PDF

Here, We have provided AIOU Solved Assignment Code 1429 for both Spring and Autumn semesters. According to AIOU policy, The assignment marks are 50% of your total exam marks. So Without submission of your assignments of code 1429 for BA , you will be considered a Fail.

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Aiou code 1429 business mathematics assignments spring and autumn.

Allama Iqbal Open University (AIOU) presents a variety  of programs to empower University students with data and expertise . Amongst these, Business Mathematics (Code 1429) stands out as a vital topic that gives a basis for understanding mathematical ideas within the context of enterprise and economics. The assignments for this course, provided in each of the Spring and Autumn semesters, function as a bridge between ideas and sensible software.

AIOU Code 1429 Business Mathematics :

AIOU Code 1429, Business Mathematics , is designed to equip University students with the mathematical instruments essential for decision-making within the enterprise world. From fundamental arithmetic operations to superior statistical evaluation , the course covers a large spectrum of mathematical ideas related to numerous enterprise disciplines.

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Aiou solved assignments code 1429 Autumn & Spring 2024. solved assignment 1 & 2 Business Statistic 2024 code 1429. past & old papers, assignments marks are aslo given.

AIOU Solved ASSIGNMENTS Code 1429 Autumn & Spring 2024

Course: Business Statistic Level: B.A/BS Semester Autumn & Spring 2024 Course Code: 1429 Assignment No. 1

• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • Question No: 1 The metrology Department has collected the following data for snowfall in muree during the month of January.

What is the probability that there will be 3 orrnare snowfall this January? What is the probability that there will be at max 6 snowfall this January? Answer:- a) Probability that there will be 3 or more snowfall this January:

P{ 3) = P(X=3) + P(X=4) + P(X=5)+p(x=6) + P(X=7) + P(X=8) + P (X =9) + more than 9 = 0.02 + 0.05 +0.10+0.13.+0.20+ 0.25 + 0.08 + 0.05 = 0.88 Probability that there will be ,3 or more snowfall this January is 0.88.

Aiou solved assignments code 1429 Autumn & Spring 2024

b) What is the probability that there will be 3 at max 6 snowfall this January? P( 6) = P(X=0) + P(X=1) + P(X=2) + P (X =3) + P(X=4) + P(X=5) + P IX =6) = 0.02 + 0.04 + 0.06 + 0.02 + 0.05 +0.10+0.13 =0.42

What is the probability that there will be 6 at max snowfall this January is 0.42.

b) Given that card are selected at random, without replacement, from a standard 52-card deck, determine the probability that I) The first 2 cards are hearts P (1st heart and 2nd heart) = P(ist heart)*P(second heart)

• 13/52 * 13/52 = 169/2704 1/16

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Q.2 a) A police department believes that the number& scrimes which occur each month can be estimated by the equation c =1200 -12.5p Where c equals the number of serious crimes expected per month and p equals the number of officer assigned to preventive patrol. if c is graphed on the vertical axis

• Identify the slope and interpret its meaning
• Identify the c interpret and interpret its meaning
• Identify the p interpret and interpret its meaning

ii) C-Intercept = 1200 Unit positive increa intercept

iii) P intercept is graphed on horizontal axis. If positive increase in c mean decrease in the value of p-intercept.

Aiou solved assignments Business Statistics Autumn & Spring 2024

Q.2 b) Compute the slope of the line joining the points (0, 0) and (c, d). Also interpret it if c and d are both positive.

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Business Mathematics (1429) B.A Spring & Autumn 2023 Solved Assignments

November 4, 2023 Sarfraz Allma Iqbal Open University , Universities 0

Business Mathematics (1429) B.A Spring & Autumn 2023 Solved Assignments

Business Mathematics(1429) B.A Spring 2023 Solved Assignments

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