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MMPC005 IGNOU Assignment Question for Answer
1. In a railway reservation office, two clerks are engaged in checking reservation forms. On an
average, the first clerk (A1) checks 55% of the forms, while the second (A2) checks the
remaining. While A1 has an error rate of 0.03, that of A2 is 0.02. A reservation form is
selected at random from the total number of forms checked during a day and is discovered to
have an error. Find the probabilities that it was checked by A1 and A2, respectively.
2. “Data used in statistical study is termed as either “Primary” or “Secondary” depending upon
whether it was collected specifically for the study in question or for some other purpose.”
Explain both the sources of collecting the data in brief.
3. A fair coin is tossed 400 times. Using normal approximation to the binomial, find the
probability that a head will occur
a) More than 180 times
b) Less than 195 times.
4. “The primary purpose of forecasting is to provide valuable information for planning the
design and operation of the enterprise.” Comment on the statement.
5. Write short notes on any three of the following:-
a) Methods of collecting primary data
b) Decision tree approach
c) Central limit theorem
d) Opinion polls
e) Use of auto-correlations in identifying time series
Before June 2023
1. The income of a group of 10,000 persons was found to be normally distributed with mean Rs.750 per month and a standard deviation of Rs. 50, show that of this group about 95% has income exceeding Rs. 668 and only 5% had income exceeding Rs. 832. (area between 750 and 668 = 0.4495, area between 750 and 832 = 0.4495).
2. Why is forecasting so important in business? Explain the application of forecasting for long term decisions.
3. What do you understand by Primary Data? What are the various methods of collecting primary data? Also, mention what points to be kept in mind while designing the questionnaire?
4. The means of two large samples of sizes 1000 and 2000 are 67.5 and 68.0 respectively. Test the quality of the means of the two populations each with standard deviation of 2.5. (z table value at á0.05= -1.96).
5. Write short notes on any two of the following:-
(a) Mathematical Properties of Arithmetic Mean
(b) Stratified Sampling
(c) Exponential Distribution
(d) Time Series Analysis
Previous year question paper of ignou assignment
1. Calculate the arithmetic mean from the following data:-
C.I. f
50-59 1
40-49 3
30-39 8
20-29 10
10-19 15
0-9 3
2. Explain the concept of probability theory. Also, explain what are the different approaches to probability theory.
3. Of a large group of men, 5% are under 58 inches and 40% are between 58 and 65 inches. Assuming a normal distribution find the mean height and standard deviation.
4. “Time series analysis is one of the most powerful methods in use, especially for short-term forecasting purposes.” Comment on the statement.
5. Write the short note on any three of the following:-
(a) Mathematical Property of Median
(b) Decision Tree Approach
(c) Stratified vs. Cluster Sampling
(d) Pearson’s Product Moment Correlation Coefficient
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