Standard Deviation Binomial Dist: n=50, p=0.3, Prob (x > 13 & 13 < x < 17)

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SUMMARY

The discussion focuses on calculating the standard deviation for a binomial distribution with parameters n=50 and p=0.3. The standard deviation is determined using the formula σ = √(n * p * (1 - p)), resulting in approximately 3.87. Additionally, the normal distribution is utilized to approximate the binomial distribution for calculating probabilities: (a) P(x > 13) and (b) P(13 < x < 17). The discussion emphasizes the importance of applying these statistical concepts in practical scenarios.

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  • Understanding of binomial distribution and its parameters (n and p)
  • Knowledge of standard deviation calculation
  • Familiarity with normal distribution approximation techniques
  • Ability to apply probability formulas for discrete random variables
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  • Learn how to apply the normal approximation to binomial distributions
  • Explore the use of continuity correction in probability calculations
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find the standard deviation for the binomial distribution which has stated values of n=50 and p=0.3. use normal distribution to approximate the binomial distribution and find probability of (a) x> 13 and (b) 13<x 17.
 
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? Any reason why we should?

1) This looks like homework, not something you are just interested in.

2) Everything you ask here can be done by using simple formulas. What are they?

Show what you have done yourself so we will know where you need help.

I am moving this to the homework section.
 

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