Reference no: EM13500759

 The following examples are experiments and their associated random variables.  In each case identify the values the random variable can assume and state whether the random variable is discrete or continuous:

EXPERIMENT                                                RANDOM VARIABLE (x)

a.)  Take a 20-question examination                   Number of questions answered correctly

b.)  Observe cars arriving at a tollbooth               Number of cars arriving at the tollbooth for 1 hour

c.)  Audit 50 tax returns                                  Number of returns containing errors

d.)  Observe an employee’s work                       Number of non-productive hours

       for 8 hours

e.)  Weigh a shipment of goods                       Number of pounds

 

21.  For the standard normal random variable z, compute the following probabilities:

a.)   P(0 ≤ z ≤ 0.83)

b.)  P(− 1.57 ≤ z ≤ 0)

c.)  P(z > 0.44)

d.)  P(z ≥ 20.23)

e.)  P(z < 1.20)

 

f.)  P(z ≤ 20.71)