The accompanying table gives the outcomes and probability distribution of the number of times a student checks her e-mail daily:
Probability of Checking E-Mail
Outcome (number of e-
mail checks) 0 1 2 3 4 5 6
Probability distribution 0.05 0.15 0.30 0.25 0.15 0.08 0.02
Sketch the probability distribution. Next, calculate the c.d.f. for the above table. What is the probability of her checking her e-mail between 1 and 3 times a day? Of checking it more than 3 times a day?
What will be an ideal response?
Answer:
Outcome (number of e-
mail checks) 0 1 2 3 4 5 6
Cumulative probability distribution 0.05 0.20 0.50 0.75 0.90 0.98 1.00
Pr(1 ≤ Y ≤ 3) 0.70 ; Pr(Y > 0.25).
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