Find the area in % form. Use 2 decimal places.P (z ≤ -2.3)
Question
Find the area in % form. Use 2 decimal places.P (z ≤ -2.3)
Solution
To find the area to the left of z = -2.3 on a standard normal distribution (which is what P(z ≤ -2.3) is asking for), you would typically use a z-table or a calculator with a normal distribution function.
Here are the steps:
-
Identify the z-score: In this case, the z-score is -2.3.
-
Look up the z-score in the z-table: The z-table shows the cumulative probability from the mean (0) up to your z-score. However, because our z-score is negative, we're looking for the probability from the z-score up to the mean.
-
Find the corresponding probability: For z = -2.3, the corresponding probability is 0.0107. This means that 1.07% of the data falls to the left of z = -2.3.
So, P(z ≤ -2.3) = 1.07%.
Similar Questions
Find the area in % form. Use 2 decimal places.P (-0.52 ≤ x ≤ 0.9)
Consider a standard normal distribution.Find the area between z = -0.95 and z = -0.34
Find the area under the standard normal curve to the right of the following z-values. Round your answer to four decimal places.(a) Find the area under the standard normal curve to the right of =z2.38.(b) Find the area under the standard normal curve to the right of =z1.38.(c) Find the area under the standard normal curve to the right of =z0.61.(d) Find the area under the standard normal curve to the right of =z−2.25.
find the area under the standard normal curve to the left of z=-1.5. Give your answer to four decimal places (for example, 0.1234)
find the value of z so that the specified area to the left of it would be 0.67
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.