Let X denote the time in minutes (rounded to the nearest ½ minute) for blood samples...

Let X denote the time in minutes (rounded to the nearest ½ minute) for blood samples to be taken from patients in UrgentCare clinic near Mountainside, NJ. A random survey of 200 patients revealed the following frequency distribution in minutes.
X = x (mins)
0 0.5 1.0 1.5 2.0 2.5
Freq (# of patients)
20 38 62 44 14 22
Determine the following:
a) P (X < 2.0)
b) P (0.75 < X ≤ 1.5)
c) P (X ≥ 2.0)
d) P (X = 1.5)
e) Mean and standard deviation of the random variable X
f) Interpretation of mean of random variable X.
g) Draw a probability histogram (pdf) for the random variable X and locate the mean (draw a vertical dash line to indicate the mean) in a graph. Mark the x-axis and y-axis and indicate the variables and the scales appropriately.
h) Construct the c.d.f. for the random variable X in a graph formats. Mark the x-axis and y-axis and indicate the variable and the scale appropriately.

Expert Solution

milcah answered 3 weeks ago

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