Question: Please help me with my homework question! Here is the question: A radar unit is used to measure speeds of cars on a motorway. The

Please help me with my homework question!

Here is the question:

A radar unit is used to measure speeds of cars on a motorway. The actual speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. The readings from the radar unit are normally distributed with a mean of 85 km/hr and a standard deviation of 9km/hr. Find the probability that the difference between the actual speed of the car and the speed recorded by the radar is more than 7 km/hr. So find P(D>7).

write expression you will use to represent D. use A = actual speed + R = radar speed.
find the mean and standard deviation
find the probability requested in the main problem above. P(D>7)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

I HAVE SOLVED FRST QUESON PLEASE SOLVE SECOND WTH CLEAR EXPLANATON a-)A radar unit is used to measure speeds of cars on a specific motorway. The speeds are normally distributed with a mean of 90...

1. A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. The fastest 5% of drivers may be...

Entry to a certain University is determined by a national test, The scores on this test are no distributed with a mean of 492 and a standard deviation of 87. Use this information to ansy questions...

Unit 10 Assessment 1. The number of centimeters y in a linear measurement varies directly with the number of inches x in the measurement. Pablo's height is 152.4 centimeters or 60 inches. What is...

Correct answers only. 1) Suppose X - N(130, 25). Find; a) P(X 120) c) P(130 620) (iii) the 90" percentile (iv) the lower and upper quartiles. Use graphs with labels to illustrate your answers. 3) A...

Statistics c) The following contingency table shows the number of females and males students in statistics class who each have a given eye colour. man-n mm i. What is the probability of selecting a...

A radar unit is used to measure the speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car...

A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. What is the probability that a car...

6. [ 10 points] A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a u=85 km/hr and a standard deviation given of o=8 km/hr. What is the...

) A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 100 km/h and a standard deviation of 8 km/h. What is the probability that a car...

Which statement best expresses the factors that purchasers of securities registered under the Securities Act of 1933 need to prove to recover losses from the auditors? (1) The purchasers of...

Multiple-Concept Example uses the same physics principles as those employed in this problem. A block of material has a mass of 130 kg and a volume of 4.6 10-2 m3.The material has a specific heat...

a Define the term machine learning. b Explain how machine learning and artificial intelligence (Al) differ. c Describe how a search engine might use machine learning to determine the most appropriate...

Bridgeport Limited had investments in securities on its statement of financial position for the first time at the end of its fiscal year ended December 31, 2020. Bridgeport reports under IFRS and its...