Knowee
Questions
Features
Study Tools

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.

🧐 Not the exact question you are looking for?Go ask a question

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).

  1. 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).

  2. 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.

  3. 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).

  4. 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).

This problem has been solved

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.

1/3

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.