# IGNOU MST-001 Solved Assignment 2022

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## IGNOU MST-001 Solved Assignment 2022

MST-001 Solved Assignment 2022 is an e-book for students who want to specialise in statistics. This completed assignment will allow you to assess your degree of preparation and will be extremely beneficial. All questions and concerns of PGDAST IGNOU Assignment have been addressed and clarified. As a result, students will comprehend the concepts of any question in the assignment.

 Assignment Paper IGNOU MST-001 Solved Assignment 2022 Subject Name Foundation in Mathematics and Statistics No.of Pages in Solution 28 Course PGDAST Language ENGLISH Session 2022 Last Date for Submission of Assignment For June Examination 31st March 2022 or as per dates given in the Ignou website For December Examination 30th September 2022 or as per dates given in the Ignou website

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## IGNOU PGDAST MST-001 Sample Solution 2022

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## (Foundation in Mathematics and Statistics)

MST-001: Foundation in Mathematics and Statistics

# 1. State whether the following statements are True or False. Give reason in support of your answer:

(a) Between any two different rational numbers there is another rational number.

(b) ​$$\int _{-1000}^{1000}\:\left(x^{1001}+x^{2001}+x^{3001}\right)dx=0$$

(c) 210 is 51st term of the sequence 10, 15, 20, 25, …
(d) ​$$\begin{vmatrix} a & x & b+c \\ b & x & c+a \\ c & x & a+b \end{vmatrix}=0$$

(e) The range of the data shown in the following frequency distribution is 350.

 Classes 200-250 250-300 300-350 350-400 400-450 450-500 500-550 Frequencies 0 7 3 8 4 0 0

2. (a) A carpenter was hired to build 192 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?

(b) Set having values ​$$\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},\frac{1}{36},\frac{1}{49}……..\:is\:countable.$$

(c) How many words each of three vowels and two consonants can be formed from the letters of the word INVOLUTE?

3.(a) Express 700.1400.2100.2800.3500.42000 in terms of factorial.

(b) How many different signals are possible with 5 blue,4 red,3 white and 2 green flags by using all at a time in a queue?

(c) If in a hall there are 10 randomly selected students then how many numbers of ways arethere such that all of them have different birthday. Assume that all of them have their birth day in non-leap years.

4. Discuss the continuity and differentiability of the following function at x = 2/3.

$$f\left( x\right) =\begin{cases}\left| x-\dfrac{2}{3}\right| ;x\neq \dfrac{2}{3}\\ 0 \:\:\:\:\:\:\:\:\:\:\:;x=\dfrac{2}{3}\end{cases}$$

5. Evaluate the following integrals:

\begin{aligned}\left( i\right) \int \left( 10x^{9}+40x^{4}+3\right) \sqrt{x^{10}+8x^{5}+3x+5}dx\\ \end{aligned}

$$\left( ii\right) \int \dfrac{1}{\left( x-5\right) \left( x^{2}+4\right) }dx$$

6. Find values of x, y and z given that

\begin{aligned}5x+y+z=36\\ x+y+z=16\\ 10x+2y+2z=72\end{aligned}

You are bound to use the matrix techniques to solve the given equations.

7(a) Write flow charts of Cramer rule and matrix method.

(b) Write whether the following data are discrete or continuous. Give reason in support of your answer.

i)  Number of children in a family in a colony of 100 families.

ii)  Number of pages in each of the 50 books having some mistake.

iii)  Height of students of IGNOU who enrolled in 2021.

iv)  Waiting time of metro when a person reaches metro station.

v)  Monthly income of the family.

8(a) Write any 10 principles of data visualisation.
(b) What is the relation of unit on y-axis with unit on x-axis in histogram.

Insert math as
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