Question

The speeds (in miles per hour) of motor vehicles on a certain stretch of Route 3A as clocked at a certain place along the highway are normally distributed with a mean of 64.4 mph and a standard deviation of 9.78 mph. What is the probability that a motor vehicle selected at random is traveling at the following speeds? (Round your answers to four decimal places.)

Name: the speeds in miles per hour of motor vehicles on a certain stretch of route 3a as clocked at a certain place along the highway are normally distributed with a mean of 644 mph and a standard 10164
Uploaded: 2021-12-28T20:23:09-08:00
Duration: 1 min 40 s
Channel: Joshua Hale
Description: the speeds in miles per hour of motor vehicles on a certain stretch of route 3a as clocked at a certain place along the highway are normally distributed with a mean of 644 mph and a standard 10164

          The speeds (in miles per hour) of motor vehicles on a certain
stretch of Route 3A as clocked at a certain place along the highway
are normally distributed with a mean of 64.4 mph and a standard
deviation of 9.78 mph. What is the probability that a motor vehicle
selected at random is traveling at the following speeds? (Round
your answers to four decimal places.)

Added by Jessica J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Joshua Hale

12/28/2021

Step 1

Given: Mean (μ) = 64.4 mph Standard Deviation (σ) = 9.78 mph Speed (X) = 70 mph Use the formula for Z-score: \[ Z = \frac{X - \mu}{\sigma} \] Substitute the values: \[ Z = \frac{70 - 64.4}{9.78} \] \[ Z = \frac{5.6}{9.78} \] \[ Z \approx 0.5714 \] Show more…

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The speeds (in miles per hour) of motor vehicles on a certain stretch of Route 3A as clocked at a certain place along the highway are normally distributed with a mean of 64.4 mph and a standard deviation of 9.78 mph. What is the probability that a motor vehicle selected at random is traveling at the following speeds? (Round your answers to four decimal places.)