Question
For the standard normal distribution determine the probability of the following Z - score: Between -1.93 and 0.78
0.8125
0.7555
0.6575
0.6255
0.9255
0.8125
0.7555
0.6575
0.6255
0.9255
Answers
GPT 3.5
To find the probability of a Z-score falling between -1.93 and 0.78 on the standard normal distribution, we need to calculate the area under the curve between these two Z-scores.
Using a standard normal distribution table or a calculator, we can find the area to the left of -1.93 and 0.78.
The area to the left of -1.93 is 0.0262 and the area to the left of 0.78 is 0.7823.
Therefore, the probability of Z-score falling between -1.93 and 0.78 is the difference between these two probabilities:
0.7823 - 0.0262 = 0.7561
Rounded to four decimal places, the probability of Z-score between -1.93 and 0.78 is 0.7561.
Using a standard normal distribution table or a calculator, we can find the area to the left of -1.93 and 0.78.
The area to the left of -1.93 is 0.0262 and the area to the left of 0.78 is 0.7823.
Therefore, the probability of Z-score falling between -1.93 and 0.78 is the difference between these two probabilities:
0.7823 - 0.0262 = 0.7561
Rounded to four decimal places, the probability of Z-score between -1.93 and 0.78 is 0.7561.