From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.
p (z<0)
The probability is 0.664
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%.
-1.13 < z < 1.65
It is 0.6915
probability is 43.3%
From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.
It is approx 78.8%
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.
The probability is 0.005012, approx.
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.
p (z<0)
The probability is 0.664
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%.
no, z score can be negative but a probability is a always positive between 0 and 1.
-1.13 < z < 1.65