Automobile repair costs continue to rise with the average cost now at $367 per repair.†Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs. (a) What is the probability that the cost will be more than $450? (Round your answer to four decimal places.) (b) What is the probability that the cost will be less than $260? (Round your answer to four decimal places.) (c) What is the probability that the cost will be between $260 and $450? (Round your answer to four decimal places.) (d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars? (Round your answer to the nearest cent.)
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The z-score formula is: $z = \frac{x - \mu}{\sigma}$ where $x$ is the cost, $\mu$ is the mean, and $\sigma$ is the standard deviation. (a) For $x = 450$: $z = \frac{450 - 367}{88} = 0.9432$ The probability that the cost will be more than $450 is P(Z > Show more…
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Automobile repair costs continue to rise with the average cost now at $367 per repair.†Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs. (a) What is the probability that the cost will be more than $480? (Round your answer to four decimal places.) (b) What is the probability that the cost will be less than $220? (Round your answer to four decimal places.) (c) What is the probability that the cost will be between $220 and $480? (Round your answer to four decimal places.) (d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars? (Round your answer to the nearest cent.)
Donna D.
Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs. (a) What is the probability that the cost will be more than $490? (Round your answer to four decimal places.) (b) What is the probability that the cost will be less than $250? (Round your answer to four decimal places.) (c) What is the probability that the cost will be between $250 and $490? (Round your answer to four decimal places.) (d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars? (Round your answer to the nearest cent.)
Jeremy G.
Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions: What is the probability that the cost will be more than $450? What is the probability that the cost will be less than $250? What is the probability that the cost will be between $250 and $450? If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?
Kirsty G.
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