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nickersia
 2 years ago
A random variable X follows a normal distribution with mean 20. (standard deviation 5)
Find probability 14=<X=<26
nickersia
 2 years ago
A random variable X follows a normal distribution with mean 20. (standard deviation 5) Find probability 14=<X=<26

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kropot72
 2 years ago
Best ResponseYou've already chosen the best response.1Do you know how to work out the zscores for 14 and 26? \[z=\frac{X\mu}{\sigma}\]

nickersia
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, but I'm not sure should I put 6 and 6 for z? That way I got 50 for x, which makes me no sense

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.1\[z _{1}=\frac{1420}{5}=?\] \[z _{2}=\frac{2620}{5}=?\]

nickersia
 2 years ago
Best ResponseYou've already chosen the best response.0I got 76.98% as an answer. z= 1.2 and 1.2 So, z score from beginning of the curve to the s.d. of 1.2 is 0.8849, which meas that on the right it's 0.1151 and same on the left, so it's 0.2302. 23.02% are lower than 14 and bigger that 26, so 76.98% is X. Am I right?

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.1A standard normal distribution table gives the following values for cumulative probability: z = 1.2 : p = 0.8849 z = 1.2 : p = 0.1151 You can check these results on the table at the following link (choose 'normal.pdf' from the menu: http://www.math.bgu.ac.il/~ngur/Teaching/probability/

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.1\[P(14<X <26)=0.88490.1151=?\]

nickersia
 2 years ago
Best ResponseYou've already chosen the best response.00.7698 which is 76.98% So, I suppose I got it right :) That's basically the same thing I did, thank you very much! :)
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