vu mth718 Mid Term Subjective Solved Past Paper No.11

vu mth718 Topics in Numerical Methods Solved Past Papers

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Question 1: Find the first two moments about mean from the following data.
X= 34, 70, 42, 54, 40, 68, 56, 38, 36, 72

Answer:

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Question 2: The mean lifetime of electric light bulbs produced by a company has in the past been 1120 hours with a standard deviation of 125 hours. A sample of 8 electric bulbs recently chosen form a supply of newly manufactured bulbs showed a mean lifetime of 1070 hours. Test the hypothesis that mean lifetime of the bulbs has not changed using a level of significance of 0.05.

Answer:

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Question 3: The probability that a student passes mathematics is 2/3 and the probability that he passes English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that he will pass both courses?

Answer:

Math=2/3
English=4/9
Least one passing probability= 4/5
Math + English =2/3+4/9 =1.11
4/5+1.11 =1.911

Question 4: The reciprocal of the values are 0.012, 0.0235, 0.0135
Calculate Harmonic Mean
Harmonic mean is 250.037

Answer:

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Question 5: What does mean by the independence of two events:

Answer:

We can define independence of two events are statistically independent if the probability of their occurring jointly equals the product of their respective probabilities. Independence of two events also know as stochastic independence.

Question 6: What do you know about discrete random variable?

Answer:

Such a numerical quantity whose value is determined by the value of a random experiment is called a random variable. Example: If we toss three dice together and let X represents the number of heads, then the random variable X consists of the value 0, 1, 2, and 3. the X in this example is a discrete random variable.

Question 7: What is the subjective approach to the probability?

Answer:

Subjective probability is a measure of the strength of a person's belief regarding the occurrence of an event A. Probability in this sense is purely subjective and is based on whatever evidence is available to the individual. It has a disadvantage that 2 or more persons faced with the same evidence may arrive at different probabilities.

Example:

Suppose a panel of three judges is hearing a trial. It is possible that based on the evidence that is presented, two of them arrive at the conclusion that the accused is guilty while one of them decides that the evidence is not strong to draw this conclusion.

Question 8: Why measure of central tendency and measure of dispersion are complementary to each other?

Answer:

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Question 9:

A research was conducted by education department to see the impact of strict teaching practices on the rate of failure among the students.

Identify dependent and independent variables.

Classify this research according to purpose of doing research; exploratory, descriptive or explanatory. Explain your choice.

Classify this research according to use of research; Basic or Applied. Explain your choice.

Answer:

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Question 10: "Because literature survey is a time-consuming exercise, a good in-depth inter view will be sufficient to develop a theoretical framework". Discuss this statement.

Answer: