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crimhill
05.11.2020 •
Mathematics
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
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Ответ:
0.6069
Step-by-step explanation:
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 24 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 108 and 153 miles in a day. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For x = 108 miles
z = ( 108 - 120)/24
z = -0.5
Probability value from Z-Table:
P(x = 108) = 0.30854
For x = 153 miles
z = (153 - 120) /24
= 1.375
Probability value from Z-Table:
P(x = 153) = 0.91543
The probability that a truck drives between 108 and 153 miles in a day is
P(x = 153) - P( x = 108)
0.91543 - 0.30854
= 0.60689
Approximately = 0.6069
Ответ:
ANSWER
The correct answer is A
EXPLANATION
The parent function is
The function g(x) is obtained by shifting the graph of the parent function, 4 units left and 6 units up.
Therefore the transformation is of the form:
Hence the transformed function has equation:
The correct answer is A