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The Accompanying Table Gives the Outcomes and Probability Distribution of the Number

question 26

Essay

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) 0123456 Probability  distribution 0.050.150.300.250.150.080.02\begin{array} { | l | l | l | l | l | l | l | l | } \hline\begin{array} { l } \text { Outcome } \\\text { number of e- } \\\text { mail checks) }\end{array} &0 & 1 & 2& 3 & 4 & 5 & 6 \\\hline \begin{array} { l } \text { Probability } \\\text { distribution }\end{array} & 0.05 & 0.15 & 0.30 & 0.25 & 0.15 & 0.08 & 0.02 \\\hline\end{array} 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?


Definitions:

Significant Influence

A level of control in an investment, generally considered to be an ownership interest of 20%–50%, that allows the investor to have a notable impact on the investee's decisions.

Declared Dividends

Dividends announced by a company's board of directors to be paid to shareholders, often as a share of the company's earnings.

Sleep

A natural, reversible state of reduced responsiveness to external stimuli and relative inactivity, accompanied by complex and predictable changes in physiology.

Ideal Number

A mathematical concept regarding certain integers in number theory, or can refer to an optimal value or condition in various contexts.

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