Math Professors Bowling: Normalcdf Probability Analysis

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In summary, a group of math professors went bowling and calculated their mean score to be 88 and standard deviation to be 15. The probability of selecting a math professor with a score greater than 100 is 21.18%. The probability of selecting a math professor with a score between 50 and 100 is 78.24%. However, it is important to note that these calculations are only valid if the scores follow a normal distribution.
  • #1
rowdy3
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One summer night at Bellair Lanes, a group of math professors went bowling. In true form, they decided to calculate their mean bowling score and standard deviation to use for the statistics problems. Here are the results: u(mean) 88, o(standard dev.)15.
Find the probability that if a math professor is selected, his or her score will be greater than 100.
100-88 / 15 = .8 normal cdf(.8,4) =.2118

Find the probability that, if a math professor is selected, his or her score will be between 50 and 100.
50-88 / 15 = -2.53 100-88 / 15 =.8 normal cdf(-2.53,.8)= .7824.

Did I do the problems right? Thanks
 
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  • #2
Why "cdf(.8, 4)" for the first one? Where did the "4" come from?
 
  • #3
Unless the problem states that the scores resemble a normal distribution your calculation isn't justified. If your instructor left that comment out, it's pretty sloppy.
 

FAQ: Math Professors Bowling: Normalcdf Probability Analysis

What is "Math Professors Bowling: Normalcdf Probability Analysis"?

"Math Professors Bowling: Normalcdf Probability Analysis" is a statistical method used to analyze the probability of a certain outcome occurring in a game of bowling. It utilizes the normal cumulative distribution function (normalcdf) to calculate the probability of a specific score or range of scores in bowling.

How is the normalcdf function used in this analysis?

In "Math Professors Bowling: Normalcdf Probability Analysis", the normalcdf function is used to calculate the area under the normal distribution curve, which represents the probability of a certain score occurring in bowling. The inputs for the function are the mean, standard deviation, and the desired range of scores.

What is the importance of using this method in bowling?

This method allows for a more accurate and data-driven approach to predicting the outcome of a game of bowling. By using statistical analysis, it takes into account the variability and distribution of scores, rather than relying on intuition or chance.

Can this method be applied to other sports or activities?

Yes, the normalcdf function and probability analysis can be applied to other sports or activities that involve a similar scoring system, such as golf or darts. However, it may require some adjustments to the inputs and interpretation of the results.

Is this method commonly used by math professors or statisticians?

Yes, this method is commonly used by math professors and statisticians in various fields, including sports analytics, finance, and social sciences. It is a fundamental tool for analyzing probability and making predictions based on data.

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