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sergejj [24]
3 years ago
15

Trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 30 miles per day. The mileage per day

is distributed normally. Find the probability that a truck drives between 97 and 107 miles in a day. (Round your answer to 4 decimal places)
Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:  0.1037

Step-by-step explanation:

Given : Mean : \mu=80\text{ miles per day}

Standard deviation : \sigma = 30\text{ miles per day}

The formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x = 97 miles per day ,

z=\dfrac{97-80}{30}\approx0.57

For x = 107 miles per day ,

z=\dfrac{97-80}{30}=0.9

The P-value =P(0.57

=0.8159398-0.7122603=0.1036795\approx0.1037

Hence, the probability that a truck drives between 97 and 107 miles in a day = 0.1037

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