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Converting A Normal Random Variable To A Standard Normal Variable And Vice-Versa Quiz

Quiz by Charlene Tabaniera

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Q 1/5
Score 0
A random variable x has a mean of 6 and a standard deviation of 2. Find the corresponding z-score for x=11.
29
z=0.5
z=2.5
z=1.5

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5 questions

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Q1
A random variable x has a mean of 6 and a standard deviation of 2. Find the corresponding z-score for x=11.
z=0.5
z=2.5
z=1.5
120s
Q2
120s
Q3
A random variable x has a mean of 28 and a standard deviation of 5. Find the corresponding z-score for x=18.
z=-1
z=0
z=-2
120s
Q4
The scores in a summative test of 11-ABM students are normally distributed with a mean of 65 and a standard deviation of 12. Find the probability that some students got a score below 40.
$P\left(z\le2.08\right)=0.4812\ or\ 48.12\%$
$P\left(z<-2.08\right)=0.0188\ or\ 1.88\%$
$P\left(z>-2.08\right)=0.0188\ or\ 1.88\%$
120s
Q5
The height (in meters) of grade 11 HUMSS students in Panabo City SHS follows a normal distribution with a mean of 1.6 and a standard deviation of 0.3. Find the probability that students chosen at random has a height greater than 1.75.
None of these
$P\left(z<0.5\right)=0.1915\ or\ 19.15\%$
$P\left(z>0.5\right)=0.3085\ or\ 30.85\%$
120s

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