#22 Suppose cars pass an intersection at a rate of 120 per hour. What is the probability that we need to wait between 25 and 30 seconds for the next car to pass? Please round your answer to 4 decimal places. Expert Answer
interarrival time between cars =60*60/120 =30 seconds
for exponential distribution:
| F(x)=P(X<x)=1-e-x/β |
from above :
| P(25<X<30)=(1-exp(-30/30)-(1-exp(-25/30))= | 0.0667 | |||
#22 Suppose cars pass an intersection at a rate of 120 per hour. What is the...
Cars enter a car wash at a mean rate of 2 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.
Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, no more than 4 cars will enter the car wash? Round your answer to four decimal places.
Cars enter a car wash ata mean rate of 4 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash? Round your answer to four decimal places. Answer How to enter your answer Tables Keypad Keyboard Shortcuts Submit Answer LENG 9:28 AM 7/31/2020
At a walk-in clinic, 120 patients arrive per hour on average. What is the probability that the receptionist needs to wait at least 2 minutes for the next patient to walk in? Round your answer to 4 decimal places.
Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving at a constant speed of 10 miles per hour. At the same time, the other car is 5 miles east of the intersection and is moving at a constant speed of 20 miles per hour. (a) Express the distance d between the cars as a function of time t. (Hint: At t= 0, the cars are 2 miles south and 5 miles east...
Question 12 The traffic flow rate (cars per hour) across an intersection is r(t) = 400 + 600t – 90+”, where t is in hours, and t0 is 6am. How many cars pass through the intersection between 6 am and 9 am? cars Question Help: Video Message instructor D Post to forum Submit Question Question 13 8 A company's marginal cost function is C'(x) where x is the number of units. Find the total cost of the first 64 units...
Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 39.3 and 2.9 mpg, respectively. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected passenger car gets more than 40 mpg? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) Probability:________________ b. What is the probability that the average mpg of four randomly selected passenger...
Suppose that the miles-per-gallon (mp) rating of passenger cars is normally distributed with a mean and a standard deviation of 36.6 and 3.7 mpg, respectively. [You may find it useful to reference the z table.J a. What is the probability that a randomly selected passenger car gets more than 37 mpg? (Round" final answer to 4 decimal places.) value to 2 decimal places, and b. What is the probability that the average mpg of three randomly selected passenger cars is...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 70 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. 1. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 73 mph.
Just solve 3.27 please.
1911 e 45% of the cars on the road are domestic brands and 55% are brands. Let NC) be the number of cars crossing at a given toll booth during (0,1]. Suppose Nd. 0} is a PP with rate 40 per minute. What is the probability that is four foreign cars and five domestic cars cross the intersection during a 10-second i minterval2 . . . 120: In Computational Problem 3.25 suppose 30 foreign cars have...