A survey was conducted to determine, on average, how longpatients have to wait to see a doctor. The number of patients thatended up waiting up to 2 hours to see a doctor, recorded in10-minute intervals, is given in the table below.
a) Define and name the random variable associated with this data.
b) Find the probability distribution for the random variable anddraw the corresponding histogram. Express all probabilities as afraction in lowest terms.
c) What is the probability that a patient had to wait between 20and 50 minutes?
d) What is the expected number of minutes a patient must wait? Givean exact answer. (2 marks
e) Calculate the standard deviation for this distribution.Explain what it means in the context of this problem.
2.
Waiting Time in minutes
10
20
30
40
50
60
70
80
90
100
110
120 Frequency of Occurrence
1
4
15
20
35
42
28
19
13
5
2
1
e) Calculate the standard deviation for this distribution. Explainwhat it means in the context of this problem.
