Uniformly distributed on the interva

Assignment Help Mathematics

Reference no: EM13714122

1. Two friends A and B go on a date and agree to meet at 7pm. Friend A is an impatient person and will scold b if A arrives before B and B arrives later than 7.15pm. Let X denote the number of minutes after 7pm that A arrives and Y denote the number of minutes after 7pm that B arrives. Assume that X and Y are independent and that they are both uniformly distributed on the interval (-30, 30).
(a) Draw a graph with X and Y as the two axes and shade the region which represents the event that B will be scolded.
(b) Hence, or otherwise, find the probability that B will be scolded.

Reference no: EM13714122

Questions Cloud

Describe the transitive subgroups of sn for n = 3, 4, 5 : 1. Describe the transitive subgroups of Sn for n = 3, 4, 5 2. Find the invariant factors of Z/4Z ⊕ Z/9Z ⊕ Z/50Z. P.S : Please prove the question with step by step.

The heat pumps coefficient of performance : The interior of a building is maintained at 23oC by a heat pump cycle operating at steady state while receiving thermal energy from well water at 12oC. The thermal energy discharged to the building is at a rate of 116, 250 kJ/h.

Find the optimal solution for all values : Deterministic models / linear programming. Please help asap 1. Consider the following parametric problem: z(θ) = min - 10x1 + 16x2 - x3 x1 - 2x2 + x3 ≤ 2 + 2θ x1 - x2 ≤ 4 + θ x1, x2, x3 ≥ 0,

Refrigeration cycle operating between cold-hot reservoirs : A refrigeration cycle maintains a clean room at 68oF by removing energy entering the room by heat transfer at the rate of 0.21 Btu/s. The cycle rejects energy by heat transfer to the outdoors where the temperature is 80oF.

Uniformly distributed on the interva : 1. Two friends A and B go on a date and agree to meet at 7pm. Friend A is an impatient person and will scold b if A arrives before B and B arrives later than 7.15pm. Let X denote the number of minutes after 7pm that A arrives and Y denote the numb..

Let (p) be the plane x+2y-z=0. : Let (P) be the plane x+2y-z=0. Let T be the reflection in R3 about (P). a) Derive an orthogonal basis B = {b1,b2,b3} for the space R3,such that b1 = n is a normal vector to the plane (P), while b2, b3 are on the plane (P).

Roll three 6-sided dice and flip a coin : 1) Experiment: Roll three 6-sided dice and flip a coin then record the results a) Describe a suitable sample space for the experiment that contains equally likely outcomes. b) Find the probability that the total sum of the three dice is 6 and the coi..

The fluid density-viscosity and revolutions per unit time : The thrust, T, of a marine propeller is assumed to depend only on its diameter, D, the fluid density, the viscosity, the revolutions per unit time, and its forward velocity, V. Express this dependence in non-dimensional terms. Is one of the ?–product..

Determine factor of saftey of gears in bending : A 17-tooth 20 normal pressure-angle helical pinion with a right-hand helix angle of 30 rotates at 1800 rev/min when transmitting 4 hp to a 52-tooth helical gear. The normal diametrical pitch is 10 teeth/in, the face width is 1.5 in, and the set has a..

User Account

All Pages