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There are two ways to get from City One to City Three, (a) directly or (b) via City Two. Let A be the event that the road from City One to Three is open. Similarly, B is for City One to Two and C is for City Two to Three. If snow is forecast for the next day, one can assume from past experience that Pr[A] = 0.6, Pr[B] = 0.7, Pr[C] = 0.4, Pr[C|B] = 0.5, and Pr[A|BC] = 0.4. Pr[A|BC] is the probability of A occuring conditional on BnC occuring. A, B, and C are NOT independent.
a) What is the probability that one can travel to City Three via City Two?
b) Which route ( One to Three or One to Two to Three) should you take? Explain
c) What is the probability that one can travel from City One to Three (directly OR via City Two)
The acceleration of a particle is defined by the relationship a=-kx^-2 ft/s^2, where x is in feet and k is a constant. At x(0)=0.1ft, v(0)=0 and at x(1)=1ft, v(1)=10ft/s. Find the velocity at x=5ft.
determine the required spacing of shear reinforcement over the span of a 28-in-wide and 18-in-deep beam with a clear span equal to 30 ft. 2 in. the beam suports a total factored uniformly distributed load of 5.0 kips/ft.
Determine the tension in the cable as the box moves between A and C and determine normal and tangential force components the road exerts on the car at this instant.
Each of the three partners realizes that in order for the firm to continue at the present rate of growth a realistic business continuation plan must be in place which would include a viable buy-sell agreement between the shareholders.
The coefficient of friction between the crate and the floor is µs = 0.4 and µk = 0.3. If P is slowly increased until the crate starts to move and then remains constant, determine using energy methods the speed of the crate after moving 2 m.
hree wells are drilled in an unconfined aquifer with the following coordinates and observed heads: Well 1: 0,200 (meters) 50 (meters) Well 2: 240,130 54 Well 3: 140, 320 63 (a) Find the magnitude and direction of the hydraulic gradient.
A large residence consumes 3705 kWh of electrical energy over a billing period. Determine the total charge for the billing period based on the rate schedule provided. The margin of error is $0.5
A spherical water tank has a diameter of 10 ft. Determine how many gallons of water are contained in the tank if the tank is filled to a depth of: a) 1 foot of water measured from the bottom of the tank b) 3 feet of water measured form the bottom o..
A result of a 7-day BOD test performed on a sample from anoligotrophic lake was 10 mg/L. The base 'e' BOD rate constantdetermined from previous studies was estimated to be 0.10d-1.
At a plant making MSG (monosodium glutamate) for use inAsian cooking the waste stream discharged to a nearby streamcontains 100 mg of glutamic acid(C5H9O4N) per liter.
The program should use both the maximum shearing-strength criterion and the maximum-distortion-energy criterion. It should also print the values of the principal stresses and, if the material does not yield, calculate the factor of safety.
With all the developments and improvements to the GNSS system over the years, what is one important facet of the system that has not improved
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