The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 77 minutes. find the probability that a randomly selected passenger has a waiting time greater than greater than 3.253.25 minutes.

0.5357

Step-by-step explanation:

If a continuous random variable x is distributed uniformly in interval [a,b] , then the probability density function is given by :-

Given : The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes.

Probability density function=

Now, the probability that a randomly selected passenger has a waiting time greater than greater than 3.253.25 minutes :-

Hence, the required probability = 0.5357

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.