Find the z-score such that: a. The area under the standard normal curve to its left is 0.5 b. The area under the standard normal curve to its left is 0.9826 c. The area under the standard normal curve to its right is 0.1423 z

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

a)

From the normal distribution, 0.5 corresponds to a z score of 0.

z = 0.

b) From the normal distribution, an area of 0.9826 to the left corresponds to a z score of 2.11.

c) An area to the right of 0.1423 = an area of 0.8577 ( 1- 0.1423) to the left.  From the normal distribution, an area of 0.8577 to the left corresponds to a z score of 1.07

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all