Find Probability of Item Weight in Normal Distribution | Statistics Help

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In summary, statistics is a branch of mathematics that involves collecting, analyzing, and interpreting numerical data. It is important because it allows us to make evidence-based decisions and predictions, understand trends and patterns in data, and solve problems in various fields. Some common statistical methods include descriptive statistics, inferential statistics, and regression analysis. To improve understanding of statistics, one should have a good grasp of basic mathematical concepts and a solid foundation in statistical principles and methods. Common mistakes to avoid in statistical analysis include using biased or insufficient data, misinterpreting statistical significance, and drawing conclusions based on correlation rather than causation. It is also important to carefully plan and execute study designs for accurate and reliable results.
  • #1
619snake
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need help with this problem
x~normal(mean= 12, stdev=2)
item weight from 8 to 16 ounces
i have a random sample of 7 items and need to find the probability that 3 of those items fulfill the weight
each item is independent

this is what i got at the moment
z=(16-12)/(2) = 2
p(z<2)-p(z<-2)
=.9772-.0228
=.9544
 
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  • #2
You need to use the transformation Z=(X-μ)/σ, and then read the range off of your table.

(σ = std.dev, and μ=mean)
 

Related to Find Probability of Item Weight in Normal Distribution | Statistics Help

What is statistics?

Statistics is a branch of mathematics that involves collecting, analyzing, and interpreting numerical data. It helps researchers make sense of large amounts of data and draw conclusions about a particular phenomenon or population.

Why is statistics important?

Statistics is important because it allows us to make evidence-based decisions and predictions. It helps us understand trends, patterns, and relationships in data, and can be used to identify and solve problems in various fields such as science, business, and healthcare.

What are some common statistical methods?

Some common statistical methods include descriptive statistics (such as mean, median, and standard deviation), inferential statistics (such as t-tests and ANOVA), and regression analysis. These methods can be used to summarize and analyze data, test hypotheses, and make predictions.

How can I improve my understanding of statistics?

To improve your understanding of statistics, it is important to have a good grasp of basic mathematical concepts and a solid foundation in statistical principles and methods. You can also practice by analyzing real-world data and familiarizing yourself with statistical software programs.

What are some common mistakes to avoid in statistical analysis?

Some common mistakes to avoid in statistical analysis include using biased or insufficient data, misinterpreting statistical significance, and drawing conclusions based on correlation rather than causation. It is also important to carefully plan and execute your study design to ensure accurate and reliable results.

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