Suppose x is a discrete, binomial random variable

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Discussion Overview

The discussion revolves around calculating probabilities related to a discrete binomial random variable, specifically focusing on expressions like P(x < 1) and P(x > 2). Participants are seeking assistance with both the mathematical calculations and the proper notation for these probabilities.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Participants inquire about calculating P(x < 1) for a binomial random variable with parameters n = 6 and p = 0.1.
  • Another participant asks for help calculating P(x > 2) with n = 8 and p = 0.3, suggesting the use of the relationship P(x > value) = 1 – P(x <= value).
  • A participant provides the formula for the binomial distribution, f(x) = (n choose x) p^x (1-p)^(n-x), as a starting point for calculations.
  • There is a suggestion to use LaTeX notation for the probability expressions, specifically for P(x ≤ 1).
  • One participant expresses gratitude for help with notation but also requests assistance with the actual calculations.
  • Another participant outlines the calculation steps for P(x > 2), indicating the need to sum probabilities up to x = 2.

Areas of Agreement / Disagreement

Participants generally agree on the formulas and methods to approach the calculations, but there is no consensus on the final numerical answers or the specific steps to take, as some participants are still seeking clarification.

Contextual Notes

Some participants have not fully resolved their understanding of the notation and calculations, and there are missing details regarding the summation process for the binomial probabilities.

nachelle
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How do I do this p(x<1) this sign has a _ under the <
n=6 p=0.1




Suppose x is a discrete, binomial random variable.

Calculate P(x > 2), given trails n = 8, success probability p = 0.3

[Hint: P(x > value) = 1 – P(x <= value) <= is a < with a _ under it

(tell me the number value you get)




Please I need help !
 
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nachelle said:
How do I do this p(x<1) this sign has a _ under the <
n=6 p=0.1
Suppose x is a discrete, binomial random variable.
Calculate P(x > 2), given trails n = 8, success probability p = 0.3
[Hint: P(x > value) = 1 – P(x <= value) <= is a < with a _ under it
(tell me the number value you get)
Please I need help !

A binomial random variable distribution is given by f(x)=\left( \begin{array}{c} n \\ x \end{array} \right) p^x (1-p)^{n-x}. That's a starting point.

Edit: one more hint - the probability that a discrete random variable will have a value less or equal x is F(x) = P(X \leq x) = \sum_{i;x_{i}\leq x}f(x_{i}).
 
Last edited:
nachelle said:
How do I do this p(x<1) this sign has a _ under the <
n=6 p=0.1

Use the \le construction in tex. Remove the blanks in the tags here to get it.
[ tex]p(x \le 1)[/tex ]
to get
p(x \le 1)
 
Thank you for your help with how to make the symbols... I also need help with the answers
 
nachelle said:
Thank you for your help with how to make the symbols... I also need help with the answers

P(x &gt; 2) = 1 - P(x \leq 2)
P(x \leq 2) = \left( \begin{array}{c} 8 \\ 0 \end{array} \right) 0.3^0 (1-0.3)^{8-0} + \cdots (sum until x = 2, including that case)

I hope you know how to carry on now.
 

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