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Illusion [34]
3 years ago
13

Please help answer statistics question? Statistics professor plans classes so carefully that the lengths of her classes are unif

ormally distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs LESS than 51.5 minutes.
Find the probability of selecting a class that runs less than 51.5 min.

(Type an integer or...; Please show steps HOW to get the answer! Thanks!; This is ONLY one question that I don't get.
Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
The duration of the class is uniformly distributed with a minimum of 50.0 minutes and a maximum of 52.0 minutes. This means the random variable for class duration X has density function

f_X(x)=\begin{cases}\dfrac1{52.0-50.0}=\dfrac12&\text{for }50.0\le x\le52.0\\[1ex]0&\text{otherwise}\end{cases}

You're looking for the probability that the class runs less than 51.5 minutes, or \mathbb P(X, which is given by the integral

\displaystyle\mathbb P(X
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Answer:

a

\mu  =  127

b

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The correct option is  option 3

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  0.25

   The sample size is  n =  508

   

Generally the mean is  mathematically represented as  

     \mu  =  np

=>   \mu  =  508 * 0.25

=>   \mu  =  127

Generally the standard deviation is mathematically represented as

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=>   \sigma  =  \sqrt{ 508 * 0.25 (1-0.25)}    

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Generally the z-score of  158 is mathematically represented as

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=>  z-score  =  \frac{158 - 127}{9.76}

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What this means is that the almost the whole  professional hockey league player are born in the first month which is unusual

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