Normal Distribution Z to Probability Question: What is the Normal Distribution probability between z = -0.37 and 0.00? Level of difficulty = 1 of 5 Please format to 3 decimal places.
Question
Normal Distribution Z to Probability Question: What is the Normal Distribution probability between z = -0.37 and 0.00?
Level of difficulty = 1 of 5 Please format to 3 decimal places.
Solution
To find the Normal Distribution probability between z = -0.37 and z = 0.00, we need to look up these values in the Z-table (also known as the Standard Normal Table).
-
The Z-table gives us the probability from z = 0 to any positive or negative z-value. Since we are looking for the probability between z = -0.37 and z = 0.00, we need to find the probability at z = 0.37 (since the normal distribution is symmetrical, the probability at z = -0.37 is the same as at z = 0.37).
-
Looking up z = 0.37 in the Z-table, we find a probability of 0.6443. This is the probability from z = 0 to z = 0.37.
-
Since we want the probability from z = -0.37 to z = 0.00, we need to subtract the probability at z = 0.00 from the probability at z = 0.37. The probability at z = 0.00 is 0.5000 (since half the distribution is to the left of the mean).
-
Subtracting, we get 0.6443 - 0.5000 = 0.1443.
So, the Normal Distribution probability between z = -0.37 and z = 0.00 is 0.144 (to three decimal places).
Similar Questions
For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 isQuestion 3Select one:a.0.9267b.1.254c.0.4267d.1.42670.5000
What is the Normal Distribution Probability for the following numbers:where X is less than 107.46 for a mean of 116, and standard deviation of 26.68Level of difficulty = 1 of 3Please format to 2 decimal places.
Given that z is a standard normal random variable, compute the following probabilities.P(-2.5 < z)Question 5Select one:a.0.9938b.0.0622c.0.0062d.0.9928
Standardised Normal DistributionA normally distributed random variable X is converted to Z. Find P(Z < 1).Note: Report the answer as a number rounded off to two digits after the decimal point
A normally distributed random variable X is converted to Z. Find P(−2 < Z < 3). Note: Report the answer as a number rounded off to two digits after the decimal point.
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.