Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 70 vehicles enter this intersection from the east, use technology and the normal approximation to the binomial distribution to find the exact and approximate probabilities of the following. (Round your answers to four decimal places.)

(a)

26 or fewer turn right

exact probability =

approximate probability =

(b)

at least two-thirds of those in the sample turn

exact probability =

approximate probability =

Expert Solution

orchestra answered 2 years ago

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles...

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles during the peak period of traffic. If the design peak hour volume for the left turn movement is 150 vehicles per hour and the red time interval per signal cycle for the left turn movement is 60 seconds. a) Compute the average number of left turn vehicle arrivals per red interval of each signal cycle during the design peak hour. b) Assume that left...

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or...

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles. (Enter your answers in set notation. Enter EMPTY or ∅ for the empty set.) (a) List all outcomes in the event A that all three vehicles go in the same direction. A = (b) List all outcomes in the event B that all three vehicles take different directions. B = ...

Exercise 1. Suppose that vehicles taking a particular freeway exit can turn right R, turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles.

Exercise 1. Suppose that vehicles taking a particular freeway exit can turn right R, turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles.(a) List all outcomes in the event A that all three vehicles go in the same direction.(b) List all outcomes in the event B that all three vehicles take diffierent directions.i(c) List all outcomes in the event C that exactly two of the three vehicles turn right.(d) List all outcomes...

A word that reads the same from left to right and right to left is a...

A word that reads the same from left to right and right to left is a palindrome. For example, "I", "noon" and "racecar" are palindromes. In the following, we consider palindromic integers. Note that the first digit of an integer cannot be 0. How many positive palindromic integers are 5-digit long and contain 7 or 8?

Geo stats question: 2)Drivers wishing to turn left at a particular intersection arrive at an average...

Geo stats question: 2)Drivers wishing to turn left at a particular intersection arrive at an average rate of five per minute. (i) if the left-turn arrow is red for 30 seconds, and there is room in the left-turn lane for five cars, what is the probability that the capacity of the lane will be exceeded for a given cycle of the signal? (ii) Given that transportation planners and traffic engineers wish to reduce the probability to less then 0.05 by...

Assume that voters are uniformly distributed along a straight line from “far right” to “far left”...

Assume that voters are uniformly distributed along a straight line from “far right” to “far left” (however you want to describe each). We have seen that Hoteling’s model predicts that candidates in a two-party system will be positioned in the center. Moreover this would imply policies coming out of a two-party system will be somewhere in the middle. What happens if a viable third party / third candidate is inserted into the mix? What is the equilibrium then? (Assume that...

Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...

Suppose a particle is moving right and left in a straight line. Its position, in centimeters, at time t seconds is given by the function s(t) = −t3 + 12t2 − 21t. (For the purposes of this problem, assume that t ≥ 0.) (a) At what t-values is the particle stopped (that is, has a velocity of zero)? (b) Over what time interval(s) is the particle moving left? (c) Find the acceleration of the object when t = 4.

Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...

Suppose a particle is moving right and left in a straight line. Its position, in centimeters, at time t seconds is given by the function s(t) = −t^3+ 12t^2 − 21t. (For the purposes of this problem, assume that t ≥ 0.) (a) At what t-values is the particle stopped (that is, has a velocity of zero)? (b) Over what time interval(s) is the particle moving left? c) Find the acceleration of the object when t = 4.

One five-member committee consists of individuals A,B,C,D,E seated in a straight row from left to right....

One five-member committee consists of individuals A,B,C,D,E seated in a straight row from left to right. How many distinct seating arrangements are possible? If E is seated far left, how many distinct seating arrangements are possible? If B is seated far right, how many distinct seating arrangements are possible? If A is seated in the center, how many distinct seating arrangements are possible? If C and D are far left and far right respectively, how many distinct seating arrangements are...

A palindromic number reads the same both ways (left-to-right and right-to-left). The largest palindrome made from...

A palindromic number reads the same both ways (left-to-right and right-to-left). The largest palindrome made from the product of two 2-digit numbers is 9,009 = 91 × 99. The largest palindrome made from the product of two 3-digit numbers is 906,609 = 913 × 993. The largest palindrome made from the product of two 4-digit numbers is 99,000,099 = 9,901 × 9,999. 1. Write a function IN JAVASCRIPT to find the largest palindrome made from the product of two 7-digit...

Question

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.

Solutions

Expert Solution

Related Solutions

A left turn lane is to be designed at a signalized intersection to accommodate leftturning vehicles...

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or...

Exercise 1. Suppose that vehicles taking a particular freeway exit can turn right R, turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles.

A word that reads the same from left to right and right to left is a...

Geo stats question: 2)Drivers wishing to turn left at a particular intersection arrive at an average...

Assume that voters are uniformly distributed along a straight line from “far right” to “far left”...

Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...

Suppose a particle is moving right and left in a straight line. Its position, in centimeters,...

One five-member committee consists of individuals A,B,C,D,E seated in a straight row from left to right....

A palindromic number reads the same both ways (left-to-right and right-to-left). The largest palindrome made from...