Reply:


a. What is the likelihood that the cost will exceed $450?
We need to determine P(x > 450)
Formula: 


Consult the z table:
P(z<0.9431)=0.8264
P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736
Therefore, the probability that the repair costs will surpass $450 is 0.1736
b)What is the likelihood that the repair cost is below $250?
We need to establish P(x<250)
Formula: 


Referencing the z table:
P(z<-1.3295)=0.0934
Hence, the probability that the cost will be under $250 is 0.0934
c)What is the likelihood that the repair cost is in the range of $250 and $450?
P(250<z>
Therefore, the likelihood that the repair costs will fall between $250 and $450 is 0.733
d) If your car repair expense ranks in the lowest 5% of all automobile repair costs, what would your payment be?
p = 0.05
checking against the z table
z = -1.65
Formula: 




Thus, if your repair price falls within the lowest 5% of car repair costs, the amount charged would be $221.8
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