Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the density curve is as pictured below (a uniform distribution):

(a) What is the probability that x is less than 11 min? more than 14 min? P (x is less than 11 minutes) = P (x is more than 14 minutes) =

(b) What is the probability that x is between 8 and 13 min? P (x is between 8 and 13 minutes) =

(c) Find the value c for which P(x < c) = .8. c = mins You may need to use the appropriate table in Appendix A to answer this question.

a) P (x is less than 11 minutes) =  0.55

P (x is more than 14 minutes) = 0.3

b) P (x is between 8 and 13 minutes) = 0.25

c)  P(x < c) =0.8 is 0.05 x c = 0.8

Step-by-step explanation:

a) P (x is less than 11 minutes) = 11 x 0.05

                                                 = 0.55

P (x is more than 14 minutes) = 0.05 x (20 - 14)

                                                = 0.05 x 6

                                                = 0.3

b) P (x is between 8 and 13 minutes) = 0.05 x (13 -8)

                                                            = 0.05 x 5

                                                             = 0.25

c)  P(x < c) =0.8

The area between 0 and c is 0.8

Hence,

0.05 x c = 0.8

the first one, all those points on the line just make a strait line.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.