Question

In: Statistics and Probability

Incomes of 12 households are given in the following table. 7524 11070 18211 26817 36551 41286...

  1. Incomes of 12 households are given in the following table.

7524

11070

18211

26817

36551

41286

49312

57283

72814

90416

135540

190250

Construct a box-plot after obtaining the necessary values. Comment on results

2-

A telephone company’s goal is to have no more than five monthly line failures on any 100 kms of line. The company currently experiences an average of two monthly line failures per 50 kms of line. Let x denote the number of monthly line failures per 100 kms of line. Assuming x follows a Poisson distribution: Find the probability that the company will: a) meet its goal on a particular 100 kms of line, b) not meet its goal on a particular 100 kms of line, c) have no more than five monthly failures on a particular 200 kms of line, d) have more than 12 monthly failures on a particular 150 kms of line

3-

the following frequency distribution summarizes the weights of 200 garlands made in a shop.

Weight (kgs)

1-3

4-6

7-9

10-12

Frequency

53

118

21

8

     Calculate the mean, median and standard deviation of these data.

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