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Q: What z probability is less then 1.12?
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What is the probability of obtaining a z-score less than 0.50?

It is 0.6915


Suppose z has a standard normal distribution with a mean of 0 and a standard deviation of 1. the probability that z is less than 1.15 is?

probability is 43.3%


Given a standardized normal distribution with a mean of 0 and a deviation of 1 what is the probability that Z is less than 1.51?

From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.


What is the probability of randomly selecting a z-score less than 0.80?

It is approx 78.8%


For some positive value of Z the probability that a standard normal variable is between 0 and z is 0.3770. The value of Z is?

P(0 < Z < z) = 0.3770 is the same as looking at P(Z < z) = 0.8770 because the other half of the curve (anything less than 0) has probability of 0.5. Now this is a problem of just looking it up from the table. The table gives a value z = 1.16 for the probability of 0.8770. So P(0 < Z < 1.16) = 0.3770.


What is the probability that type 1 error will be made z -2.575 or z 2.575?

The probability is 0.005012, approx.


The probability that a standard normal random variable Z is less than 50 is approximately 0?

False. It is approximately 1. Theoretically, it is not 1. I used excel, and I know the probability is between 0.999999 and 1. as the probability of Z<6 is 0.999999. I can't calculate the probability exactly because excel only goes to 7 place accuracy.


Can a z-score be converted into a probability?

p (z<0)


What is the probability that an event will occur between z equals -0.46 and z equals 2.21 on the standard normalized curve?

The probability is 0.664


Given mean of 0 and deviation of 1 what is the probability that Z is greater than -1.96?

The probability of Z from minus infinity to -1.96 is 0.025. Therefore the probability of Z greater than -1.96 is 1 - 0.025 or 0.975 or 97.5%.


Does a negative z score yield a negative probability value?

no, z score can be negative but a probability is a always positive between 0 and 1.


What is the ranges of z values corresponding to a probability of 0.8213?

-1.13 < z < 1.65