The same statistic problem but different ques a. What is the probability that Company B would charge more than Company A to drill a well?

2015-10-28 1:47 pm
更新1:

Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of of RM3500 to drill a well regardless of its depth. Company B charges RM1000 plus RM12 per foot to drill a well. The depths of wells in this area have a normal distribution with a mean of 250 feet and a standard deviation of 40 feet. a. What is the probability that Company B would charge more than Company A to drill a well?

回答 (2)

2015-10-28 1:59 pm
✔ 最佳答案
Cost of A = 3500RM
Cost of B = 1000RM + 12x , where x feet are drilled
12x+1000=3500
12x= 2500
x = 2500/12 = 208.33

If more than 208.33 feet are drilled, B charges more than A
Find P( x > 208.33)

μ = 250
σ = 40
standardize x to z = (x - μ) / σ
P(x > 208.33) = P( z > (208.33-250) / 40)
= P(z > -1.0417) = 0.8508
(From normal probability table)
2015-10-28 3:35 pm
thankss =)


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