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- Normal Distribution and Z-score

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- 1.

$\cdot$ Why are z-scores needed for random continuous variables?

$\cdot$ Relationship between area under the curve and probability

$\cdot$ Leads to Standard normal distribution

- 2.
**Reading the Z Table**

Use the Z table to find:a)the z-score when the area under the curve to the left of z is 0.3015.b)the area from the mean to a z-score of 1.45.c)the z-score when the area under the curve to the left of z is 0.7774. - 3.
**Finding Probabilities from Z-Scores**

Answer the following questions based on the properties of standard normal distribution.a)What is the probability of having a z-score that is less than 0.75?b)What is the probability of having a z-score that is greater than -1.83?c)What is the probability of having a z-score that is between -1.27 to 1.06? - 4.
**Finding Z-Scores from Areas**

Answer the following questions based on the properties of standard normal distribution.

i) by Z table

ii) by calculator

a)Find the z-score that represents the bottom 70%.b)Find the z-score that represent the top 70%.c)Find the z-scores that represent the top 4% and the bottom 4%.

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