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Dalarmire the area under tha standerd nomal curve thal = lies the right of (0) Z = 0.29, (6) 2 = - 1.58, (c)Z = - 1.24, and {WiZ--1.11. (aj The araa to tha right 0f...

Question

Dalarmire the area under tha standerd nomal curve thal = lies the right of (0) Z = 0.29, (6) 2 = - 1.58, (c)Z = - 1.24, and {WiZ--1.11. (aj The araa to tha right 0f z = 0.29 Is (Round t0 four declmal placos a8 nooded )

Dalarmire the area under tha standerd nomal curve thal = lies the right of (0) Z = 0.29, (6) 2 = - 1.58, (c)Z = - 1.24, and {WiZ--1.11. (aj The araa to tha right 0f z = 0.29 Is (Round t0 four declmal placos a8 nooded )



Answers

Find the area under the normal curve that lies to the left of the following $z$-values.
a. $\quad z=-1.30$
b. $\quad z=-2.56$
c. $\quad z=-3.20$
d. $\quad z=-0.64$

I want to find the area between that is equal to zero. And that is equally 2.86 So this is where my zero is. And over here somewhere, I will have 2.86 2.86 Now I know that the area to the right off 0.5. So what I can do is 0.5 minus the area to the right off 2.86 which is nothing with a p value. So if I do this 2.86 I'm using a P value calculator for this. And this value turns out to be 0.21 0.21 And what will this? Well, maybe this will be 0.4. Yeah, this will be What can we say? It is a 0.4979 This is 0.4979 If I am not wrong, Yes. This is the correct answer.

Were asked to find the area under the standard normal core curve between these that values negative 2.75 and 1.28 We start by finding the area under the curve to the left of the suds score. Negative 2.75 This green area here. To do this, we users that table first looking for the road that corresponds with negative 2.7. We know where answer will be somewhere in this road, and we just need to pick the column that corresponds with negative 2.75 which is this column here. During us, we obtain 0.298 as the area to the left of the side, scoring negative 2.75 Next, we want to find the area under the curve to the left of the said score 1.28 and again, we will use. There's a table to do this. He scroll down and we look for the road that corresponds with 1.2 and then we pick the calls. The courage column that corresponds with 1.28 During this, we obtain 0.899 73 Since we know that the blue area is composed of the green area, plus the red area, this tells us that the red area is equal to the blue area minus the green area. Substituting in the values we found. We have 0.89973 minus 0.298 And now we just need to type this into our calculator. And doing this. We obtained 0.89 675

I want to find the area between there is equal to minus one point to wait to 1.28 We're here. I have my zero. And we are going to do this in a similar way that we did the last few questions. This is going to be 0.5 miners the area to the right, off one point to it. And what is the area to the right of one point away? I use a calculator in order to find that my p value for one point away one tail will be 0.1. This is zero point zero point one. What is this? Value is turning out to be 0.1 right. And this is 0.4. Now this area is 0.4. And since this is symmetrical, this area is also going to be 0.4. So I can say that the area that I want is twice off this which is I think, what? 0.8. This is my answer

I want to find the area to the left, off to the left off minus one point to it. And to the right of one point to it. Which means that I want this area on this area. I find the value a P value for 1.28 Eric turns out to be 0.1, which means one side shaded region is 0.1. But since this normal distribution is symmetry, I can multiply this by two in order to find the area for both of these shaded regions to the left as well as to the right. So individually, these two areas are 0.1 and together they add up to 0.2 and this is my answer.


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