Question
The probability mass function of a normal variable is as follows: $ f(x)=\frac{1}{\sqrt{18 \pi}} e^{\frac{-(x-12)^2}{18}}, \quad-\infty$
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| year | $2015$ | $2016$ | $2017$ | $2018$ |
| Average Monthly wages (₹) | $35,000$ | $40,000$ | $42,000$ | $50,000$ |
| Cost of living Index number | $120$ | $150$ | $130$ | $160$ |
| $x$ | $3$ | $6$ | $9$ | $12$ | $15$ |
| $y$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| Year | $2010$ | $2011$ | $2012$ | $2013$ |
| Average monthly wage $(Rs.)$ | $35,000$ | $40,000$ | $42,000$ | $50,000$ |
| Cost of living index number | $120$ | $150$ | $130$ | $160$ |