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A routine exercise designed to test one's knowledge; often from a textbook, course, or test used for a class or self-study. This community's policy is to "provide helpful hints" for such questions rather than complete answers.

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Question on calculating probability of independent and mutually exclusive events

To answer my own question #3. I suppose, since P[NL] = 0.35, and does not equal to P[N] * P[L] = 0.7 * 0.6 = 0.42, event N and L are are independent events. Knowing how long a customer stays in a stor …
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  • 217
4 votes
2 answers
167 views

Finding the expected number of success

The scenario goes like this: a cell phone user has 1/3 of a chance to send a text message, and a 2/3 of a chance to receive a text message. Question: what is the expected number of text messages recei …
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  • 217
3 votes
2 answers
244 views

Question on calculating probability of independent and mutually exclusive events

I am given the following question: Monitor customer behavior in the Phonesmart store. Classify the behavior as buying (B) if a customer purchases a smartphone. Otherwise the behavior is no purchase ( …
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  • 217
1 vote
1 answer
431 views

Find Marginal CDF probability from PDF (2 random variables)

Given the following PDF of continuous 2 random variables: $$ f_{X,Y}(x,y)=\begin{cases} y^2 & 0\le y\le x\le 1;\newline 0 & \text{otherwise}. \end{cases} $$ Graph showing the region of i …
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  • 217
0 votes
0 answers
38 views

Find Marginal CDF probability from PDF (2 random variables) [duplicate]

Given the following PDF of continuous 2 random variables: $$ f_{X,Y}(x,y)=\begin{cases} y^2 & 0\le y\le x\le 1;\newline 0 & \text{otherwise}. \end{cases} $$ Graph showing the region of i …
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  • 217