A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the actual capacity of a randomly selected tank has a distribution that is approximately Normal with a mean of 15.0 gallons and a standard deviation of 0.15 gallons. The manufacturer of this gasoline tank considers the largest 2% of these tanks too large to put on the market. How large does a tank have to be to be considered too large?
Here, the actual capacity of a randomly selected tank has a distribution that is approximately Normal with a mean of 15.0 gallons and a standard deviation of 15.0 gallons.
So X~ N(mean= 15.0, sd=0.15)
Now
The manufacturer of this gasoline tank consider the largest 2% of these tanks too large to put on tbe market.
Therefore we have to find tank size x such that,
P(X > x) =2% =0.02
From Z table we get
Thus the tank of size 15.3075 gallons is to be considered too large.
A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose...
A gasoline tank for a certain car is designed to hold 15.0 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15 gal and standard deviation 0.2 gal. (Round all answers to four decimal places.) (a) What is the probability that a randomly selected tank will hold at most 14.7 gal? P(x ≤ 14.7) = (b) What is the probability...
#6
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photos for each question are all in a row
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How can we assess whether a project is a success or a
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I have this case study to solve. i want to ask which
type of case study in this like problem, evaluation or decision? if
its decision then what are the criterias and all?
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