The number of tires ordered by Conrad’s Tire Service follows a normal distribution. The average number of tires ordered per month is 875 with a standard deviation of 40.
What is the probability that Conrad’s will order fewer than 845 tires?
You may use any standard normal distribution table, or use the attached table, for your answer.
Expert Answer
1st we calculate the z-score for ordering 845 tires
mean m = 875
standard deviation s = 40
z = (845-875)/40
z = -30/40 = -0.75
corresponding value on standard normal distribution table for z = -0.75 is 0.2266
0.2266 represents probability of of less than 845 tires.
hence
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