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During a storm, gage station A was inoperative but the surrounding stations, B, C, and D, recorded rainfall of 5.2, 4.5, and 6.1 in., respectively. The average annual precipitation for stations A, B, C, and D are 48, 53, 59, and 67 in., respectively. Estimate the storm precipitation for station A.

Respuesta :

Answer:

4.247 in

Explanation:

Precipitation at A is P_a

similarly at P_b= 5.2 in, P_c= 4.5 in and P_d= 6.1 in

Normal annual rainfall at station A, B, C, D are

N_a = 48 in, N_b= 53, N_c= 59 in and N_d= 67 in

From the formula we have

P_a/N_a = 1/3( P_b/N_b+P_c/N_c+P_d/N_d)

⇒ P_a = 48/3(5.2/53+4.5/59+6.1/67)

P_a= 16×0.2654 = 4.247 in

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