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
Question
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
Solution
The standard normal distribution table, also known as the Z table, is used to find the area under the curve for a standard normal distribution.
The Z score of 1.00 corresponds to a value slightly below 0.84 (0.8413 to be exact) in the Z table. This means that approximately 84% of the data falls below a Z score of 1.00.
So, P(Z < 1) = 0.84 when rounded off to two decimal places.
Similar Questions
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.
517222Question 1/1MandatoryStandardised Random VariableA normally distributed random variable X is converted to Z. Find P(-2<Z<3). (Report the answer as a number rounded to two digits after the decimal point.)
Standard Normal DistributionA normally distributed random variable X is converted to a standard normal distribution (Z). What is the value of P(-1 < Z < 2)?47.5%68%81.5%95%
Given that z is a standard normal random variable, compute the following P(0 < z < .92)Question 7Select one:a.0.2182b.0.8212c.0.5912d.0.3212
Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z > -1.1)?Select one:a.0.36432.b.0.8643.c.0.1357.d.-0.1357.e.-0.8643.
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.