Question
ind the specified probability. Round your answer to four decimal places, if necessary.
P(0<z<1.55)
P(0<z<1.55)
Answers
Answered by
GPT 3.5
To find this probability, we need to determine the area under the standard normal curve between z = 0 and z = 1.55.
Using a standard normal distribution table or calculator, we can find the z-score for 0 (which is 0) and the z-score for 1.55.
The z-score for 1.55 is approximately 0.9382.
Now we can find the area under the curve between z = 0 and z = 1.55 by subtracting the area to the left of z = 1.55 from the area to the left of z = 0.
P(0<z<1.55) = P(z < 1.55) - P(z < 0)
P(0<z<1.55) = 0.9382 - 0.5
P(0<z<1.55) = 0.4382
Therefore, the probability P(0<z<1.55) is approximately 0.4382.
Using a standard normal distribution table or calculator, we can find the z-score for 0 (which is 0) and the z-score for 1.55.
The z-score for 1.55 is approximately 0.9382.
Now we can find the area under the curve between z = 0 and z = 1.55 by subtracting the area to the left of z = 1.55 from the area to the left of z = 0.
P(0<z<1.55) = P(z < 1.55) - P(z < 0)
P(0<z<1.55) = 0.9382 - 0.5
P(0<z<1.55) = 0.4382
Therefore, the probability P(0<z<1.55) is approximately 0.4382.