For each of the following situations list any quantities tha

For each of the following situations, list any quantities that might reasonably be considered a random variable, state whether they are continuous or discrete, and indicate a reasonable range of values for each.

a) A weather forcast gives the prediction for july 4th as a temperature, 84; low temperature, 67; wind, 8 mph; humidity, 75%; THI, 72; sunrise, 5:05 am; sunset, 8:45 pm.

b) A traffic survey on a busy street yields the following values; number of vehicles per minute, 26; average speed, 35 mph; ratio of cars to trucks, 6.81; average weight, 4000lb; number of accidents per day, 5.

Solution

(a)Random variables- Temperature(T),Low temperature(LT),Wind(W),Humidity(H),THI(THI)

Discrete-THI

Continuous-T,LT,W,H

T>-459.4

-459.4<LT<t

0<W<infinity

0<H<100

(b)

Discrete rv- No. of vehicles per minute(V),no. of accidents(A)

Continuous rv-Ratio of cars to trucks(R),Average speed(S),Average Weight(W)

V>0

A>0

R>0

S>0

W>0