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 $290? (Round your answer to four decimal places.) (c) What is the probability that the cost will be between $290 and $490? (Round your answer to four decimal places.)
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We are given that the cost of automobile repairs is normally distributed with a mean ($\mu$) of $367 and a standard deviation ($\sigma$) of $88. We need to find the probabilities of the cost being more than $490, less than $290, and between $290 and $490. 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 $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.)
Madhur L.
Tim T.
Use the following to answer the next two exercises: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $\$ 4.59$ and a standard deviation of $\$ 0.10 .$ Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. What's the approximate probability that the average price for 16 gas stations is over $\$ 4.69 ?$ a. almost zero b. 0.1587 c. 0.0943 d. unknown
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