Question

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 $220? (Round your answer to four decimal places.) (c) What is the probability that the cost will be between $220 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.) $

Answer 1

SDO = 88 Avon that M= 367 then @ P(x >450) > 88 P(X-4 450-367 365) P/2 > 0.94 = TPIZ <0.94) = 1-0.8264 (by z table] = 0.1736 6 P(<220) s 220-367 88 367) P/X-4 P/ 2 < -1.67 Ö. 0475 C P[Ado <x<450) = P(229 220-36) < X-4 <y soek?) P/ -1.67 < 2 < 0.94) = P1220.94) - P122-467) 0.8264 00475 0.7789 As pao chegy gute I am sollving only 3 peot. thank you P/Zz joke the Ans Reep Smilmy