Carbon monoxide (CO) emissions for cars vary with mean 2.9 gm/mi and standard deviation 0.4 gm/mi. The Ponaxtiruchiranalignim Car Rental Fleet has 10 of these cars in its fleet, acquired from various (i. e., random) sources. The CO emissions follow a normal distribution. a) What is the probability that a randomly selected car from the street has a CO emission greater than 3.1 gm/mi.
b) What is the probability that a randomly selected car from the fleet has CO emissions in excess of 3.1 gm/mi.
c) What is the shape of the distribution of the CO emissions of the cars in the fleet?
d) Construct the normal curve for the cars in the fleet.
e) What are the conditions for the Central Limit

5+2x=a

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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.