In: Statistics and Probability
A gasoline tank for a Honda Accord is engineered to hold 15 gallons of gas. Gas tank capacity for a randomly selected Accord has an approximately normal distribution with mean 15.0 gallons and standard deviation of 0.1 gallons.
(a) What is the probability that a randomly selected Accord has a gas tank capacity within one standard deviation of the mean?
(b) What is the probability that a randomly selected tank will hold at most 14.85 gallons? Sketch a graph of this situation and shade the appropriate region.
(c) What is the probability that in the next twelve cars randomly selected, exactly four of those tanks will hold at most 14.85 gallons? Use your results from part (b).
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All you need here is to standardize the random variable. Please go through the solution. All of it has been done in a detailed manner