A radar makes a random error in measuring the distance of an aircraft as follows. If the true distance of the aircraft is T, the distance M that is measured by the radar is given by M=T+E, where the random error E is a normal random variable with a mean of 227.01 and a standard deviation of 227.01 What is the probability that the measured distance M is smaller than the true distance T ? Use the standard normal table (available in the summary notes that is provided for your use during the exams) to solve this problem and express your answer with four decimal digits after the decimal point.

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A radar makes a random error in measuring the distance of an aircraft as follows. If the true distance of the aircraft is
T, the distance M that is measured by the radar is given by M=T+E, where the random error E is a normal random
variable with a mean of 227.01 and a standard deviation of 227.01
What is the probability that the measured distance M is smaller than the true distance T ?
Use the standard normal table (available in the summary notes that is provided for your use during the exams) to
solve this problem and express your answer with four decimal digits after the decimal point.
Transcribed Image Text:A radar makes a random error in measuring the distance of an aircraft as follows. If the true distance of the aircraft is T, the distance M that is measured by the radar is given by M=T+E, where the random error E is a normal random variable with a mean of 227.01 and a standard deviation of 227.01 What is the probability that the measured distance M is smaller than the true distance T ? Use the standard normal table (available in the summary notes that is provided for your use during the exams) to solve this problem and express your answer with four decimal digits after the decimal point.
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