Question

**Speeding on the I-5.** Suppose the distribution
of passenger vehicle speeds traveling on the Interstate 5 Freeway
(I-5) in California is nearly normal with a mean of 72 miles/hour
and a standard deviation of 5.25 miles/hour. Round all answers to
four decimal places.

1. What proportion of passenger vehicles travel slower than 61 miles/hour?

2. What proportion of passenger vehicles travel between 76 and 82 miles/hour?

3. How fast do the fastest 18% of passenger vehicles travel?

4. Suppose the speed limit on this stretch of the I-5 is 65 miles/hour. Approximately what proportion of the passenger vehicles travel above the speed limit on this stretch of the I-5?

Answer #1

Speeding on the I-5. Suppose the distribution
of passenger vehicle speeds traveling on the Interstate 5 Freeway
(I-5) in California is nearly normal with a mean of 72.5 miles/hour
and a standard deviation of 5.5 miles/hour. Round all answers to
four decimal places.
1. What proportion of passenger vehicles travel slower than
69miles/hour? )
2. What proportion of passenger vehicles travel between 60 and
65miles/hour?
3. How fast do the fastest 13% of passenger vehicles travel?
(miles/hour)
4. Suppose the...

Suppose the average speeds of passenger trains traveling from
Newark, New Jersey, to Philadelphia, Pennsylvania, are normally
distributed, with a mean average speed of 89 miles per hour and a
standard deviation of 6.4 miles per hour. (a) What is the
probability that a train will average less than 70 miles per hour?
(b) What is the probability that a train will average more than 79
miles per hour? (c) What is the probability that a train will
average between...

Suppose the average speeds of passenger trains traveling from
Newark, New Jersey, to Philadelphia, Pennsylvania, are normally
distributed, with a mean average speed of 85 miles per hour and a
standard deviation of 6.4 miles per hour.
(a) What is the probability that a train will average less than
69 miles per hour?
(b) What is the probability that a train will average more than
81 miles per hour?
(c) What is the probability that a train will average between...

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...

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