Question

Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 68.3 mph and a standard deviation of 3.9 mph. Suppose you are a police officer on this stretch of road and only have time to ticket 1% of the cars that go by you. How fast should someone be traveling before you pull them over? Round your answer to 1 decimal place.

Answer #1

Given,

= 68.3 , = 3.9

We convert this to standard normal as

P(X < x) = P(Z < x - / )

We have to calculate x such that,

P(X > x) = 0.01

P(X < x) = 0.99

P(Z < x - / ) = 0.99

From Z table, z-score for the probability of 0.99 is 2.3263

So,

x - / = 2.3263

x - 68.3 / 3.9 = 2.3263

Solve for x

**x = 77.4**

Speeding: On a stretch of Interstate-89, car
speed is a normally distributed variable with a mean of 69.3 mph
and a standard deviation of 3.1 mph.
Suppose you are a police officer on this stretch of road and only
have time to ticket 2% of the cars that go by you. How fast should
someone be traveling before you pull them over? Round your
answer to 1 decimal place.
mph

Speeding: On a stretch of Interstate-89, car
speed is a normally distributed variable with a mean of 68.3 mph
and a standard deviation of 3.5 mph.
You are traveling at 75 mph. Approximately what percentage of cars
are traveling faster than you? Enter your answer as a
percentage with 1 decimal place.
%

Speeding: On a stretch of Interstate-89, car
speed is a normally distributed variable with a mean of 68.5 mph
and a standard deviation of 3.5 mph.
You are traveling at 75 mph. Approximately what percentage of cars
are traveling faster than you? Enter your answer as a
percentage with 1 decimal place

You are driving a car traveling on an interstate highway at 50
mph, and you pass a police car. Four minutes later, you pass a
second police car, and you are again traveling at 50 mph. The speed
limit on the interstate is 60 mph. The distance between the two
police cars is five miles.
1. You foolishly argue with the patrolman who is writing your
speeding ticket, and he calls his brother who is currently taking
Calculus and has...

Suppose that the speed at which cars go on the freeway is
normally distributed with mean 69 mph and standard deviation 5
miles per hour. Let X be the speed for a randomly selected car.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. If one car is randomly chosen, find the probability that it is
traveling more than 67 mph.
c. If one of the cars is randomly...

Suppose that the speed at which cars go on the freeway is
normally distributed with mean 74 mph and standard deviation 9
miles per hour. Let X be the speed for a randomly selected car.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. If one car is randomly chosen, find the probability that it is
traveling more than 72 mph.
c. If one of the cars is randomly...

STEP BY STEP
Suppose that the speed at which cars go on the freeway is
normally distributed with mean 71 mph and standard deviation 10
miles per hour. Let X be the speed for a randomly selected car.
Round all answers to 4 decimal places where possible. a. What is
the distribution of X? X ~ N(,) b. If one car is randomly chosen,
find the probability that it is traveling more than 73 mph. c. If
one of the...

A police officer in a helicopter is hovering 1110 feet directly
over a straight stretch of I-5 where the speed limit is 70 miles
per hour. A car passes below very quickly so the officer pulls out
the radar gun. At the moment of using the radar the results show
that the car is 1985 feet away from the helicopter, and it is
moving away from the helicopter at 95 feet per second.
The helicopter officer notifies the ground patrolman...

You are an investigator at the scene of a car crash. A Volvo of
has hit an Alpha Romeo from the side and the two are inter-tangled
(stuck together). You can see that the Volvo was traveling due east
on a concrete road with a 50 mph speed limit and made a 30.0 m long
skid mark before reaching the intersection where it hit the Alpha
Romeo which was driving due North on a concrete road with a 25 mph...

1. Starting from rest, it took you 12 seconds to accelerate your
car to 24 m/s at a constant acceleration. Find your
acceleration.
2.A prototype car starts from rest and accelerates at a constant
rate to 60 m/s in 5.1 seconds. How much distance did the car travel
during the 5.1-second accelerated motion?
3. A speeding driver noticed a police car parked about 443 m in
from of him on the side of the road and reduced his speed at...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 22 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 48 minutes ago

asked 54 minutes ago

asked 56 minutes ago

asked 57 minutes ago

asked 58 minutes ago

asked 1 hour ago