BCS-040-SOLVED ASSIGNMENT 2016-2017 IGNOU BCA 4thSEM

2.

Consider a family with 2 children. Assume each child is as likely to be a boy as it is to be a girl. What is the conditional probability that both children are boys given that (i) the elder child is a boy (ii) at least one of the children is a boy.

3.

It has been claimed that in 60% of all Android Applications installation, the utility bill is reduced by at least one third. Accordingly, what is the probability that the utility bill we reduced by one third in (i) four of five installations (ii) at least four of five installations.

4.

If a Hardware support centre receives on an average λ = 6 wrong complaints per day, then what is the probability that it will receive 4 wrong complains on any given day.

5.

Verify whether the following situations can be described by uniform distribution or not. (i) The average life span of a bulb produced by manufacturing company, (ii) the number of defective items produced by assembly process.

6.

An individuals IQ score has N(100, 152) distribution. Find the probability that the individuals IQ score is between 91 and 121.

7.

From a population of 200 observation, a sample of n = 50 is selected. Calculate the standard error, if the population standard deviation equals 22.

8.

A random sample of 100 observations is taken from a normal population having variance σ2 = 42.5. Find the approximate probability of obtaining a sample standard deviation between 3.14 and 8.94.

9.

If independent random samples of size n1 = n2 = 8 comes from normal populations having the same variance, what is the probability that either sample variance will be at least seven times as large as the other ?

10.

A random sample of 800 computers contains 24 defective items. Compute 99% confidence interval for the proportion of defective computers.

11.

An Antivirus developer claims that it cleans the entire system is 5 minutes (with standard deviation of 2 minutes ). Ten people volunteers to take it to test the claim. The average time to get the system cleaned was 7.5 minutes. Do you accept the claim at 10 % level.

12.

A random sample of size 1000 from lot of computers supplied by manufacture - 1, contains 20 defectives and a random sample of size 1500 from computers supplied by manufacture - 2 contains 40 defectives. If α = 0.05, can you say computers supplied by manufacture -1 are better than those supplied by manufacturer -2.

13.

A software company owner has 3 developers A, B and C. During a particular week, the owner tried to evaluate the productivity of A, B and C (x software developer was on leave)

14.

An economist wants to estimate relationship in a small community between a family's annual income & amount that family serves. Following data of 9 families obtained

Calculate the least square regression line.

15.

Fit the trend curve to the population data given below, using second degree equation, i.e., Tt = a0 + a1t +a2t2. Use t = 1, 2, …., 10. How good is your fit.

16.

A sample of size 4 is to be selected from a population of 11 computer brands. List all the possible sample by (i) Linear systematic sampling (ii) circular systematic sampling

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