For the standard normal distribution determine the probability of the following Z - score: Between -2.4 and -2.0

1 answer

To find the probability of a Z-score between -2.4 and -2.0 for the standard normal distribution, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find the probabilities corresponding to the Z-scores -2.4 and -2.0:

Z(-2.4) = 0.00820
Z(-2.0) = 0.02275

To find the probability of being between these two Z-scores, we can subtract the smaller probability from the larger probability:

P(-2.4 < Z < -2.0) = P(Z < -2.0) - P(Z < -2.4)
P(-2.4 < Z < -2.0) = 0.02275 - 0.00820
P(-2.4 < Z < -2.0) = 0.01455

Therefore, the probability of a Z-score being between -2.4 and -2.0 for the standard normal distribution is approximately 0.01455 or 1.455%.