Find the indicated probability for the standard normal Z: P(1.35< Z < 1.72)
Question
Find the indicated probability for the standard normal Z: P(1.35< Z < 1.72)
Solution
To find the probability that a standard normal random variable Z is between 1.35 and 1.72, you need to use the standard normal distribution table or a calculator with a normal distribution function.
Here are the steps:
-
Look up the Z-score for 1.35 in the standard normal distribution table. The value you get is the probability that Z is less than 1.35. Let's call this value P1.
-
Look up the Z-score for 1.72 in the same table. The value you get is the probability that Z is less than 1.72. Let's call this value P2.
-
Subtract P1 from P2 to get the probability that Z is between 1.35 and 1.72. In other words, P(1.35< Z < 1.72) = P2 - P1.
Remember that the values you get from the table are cumulative probabilities, so when you subtract P1 from P2, you're finding the probability of Z falling in that specific range.
Similar Questions
Find the indicated probability for the standard normal Z: P(Z > 0.82)
Given that z is a standard normal random variable, compute the following probabilities. P(-1.23 < z < 2.41)Question 8Select one:a.0.9920b.0.8827c.0.8872d.0.1093
Given that Z is a standard normal random variable, P(Z > − 2.68) is:Group of answer choices0.4963.0.5037.0.9963.0.0037.
Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places.(a) =P>Z0.93(b) =P≤Z1.72(c) =P<−0.57<Z2.06
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%
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.