Let the mean and the variance of 5 observations \( x_{1}, x_{2}, x_{3} \), \( x_{4}, x_{5} \) be...

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Let the mean and the variance of 5 observations \( x_{1}, x_{2}, x_{3} \), \( x_{4}, x_{5} \) be \( \frac{24}{5} \) and \( \frac{194}{25} \) respectively. If the mean and variance of the first 4 observation are \( \frac{7}{2} \) and a respectively, then \( \left(4 \mathrm{a}+x_{5}\right) \) is equal to: \( \left(4 \mathrm{a}+x_{5}\right) \) is equal to:
(a) 13
(b) 15
(c) 17
(d) 18
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