5

42) Find the area under the standard norma curve between 2 = and 2 = 3.43) Find the area under the standard norma cuNVe between 2 = -15 and. 2 =25.44) Determine whe...

Question

42) Find the area under the standard norma curve between 2 = and 2 = 3.43) Find the area under the standard norma cuNVe between 2 = -15 and. 2 =25.44) Determine whether the graph could represent = variable with norma distribution. Explain your reasoning:

42) Find the area under the standard norma curve between 2 = and 2 = 3. 43) Find the area under the standard norma cuNVe between 2 = -15 and. 2 =25. 44) Determine whether the graph could represent = variable with norma distribution. Explain your reasoning:



Answers

$33-34=$ Calculate the area of the region that lies under the
curve and above the $x$ -axis.
$$y=2 x-x^{2}$$

It wasn't very condom the area and then the girl We're going to the integral from MGP f next. Thanks in this question were given the function y equals two for minus x square from interval Minister Tutu to here we can identify I am be there from the area Do equal to inter government due to do I'm not function here before minus x square t x on. Then we get equal to until they lived in the four equal to the four x until they give them the X square English Explorer 3/3 You evaluated under minus 2 to 2. So we get equal to then we use the to him. The four times still managed to about 3/3 on, then minus for the manager. So we have four times Managed two months. Managed to about three hours three Then we get equal to here we be the eight minus eight under three then plus eight. This one you have. This will be the minus 803. So we get this one will be you go to the 16 and then minus 16/3 I we get ego Judah 40 eight minus 1603. They were going to go to the thirties to I was three. That's when we the answer.

The reason. Even ambiguous and white, one minus X expert. Well, you can do the area under the given occur and above the exit. So as you know, the formula for the area, it magical. It would be why BX there extended far into unit. It's maybe were I. It will be pastorally company. The value of any so Baylock envy will compel the X intercept off the given. So the for computer, the X intercept for the given Cup blocked by plugging the white people, would you? So why different? Geo one minus X squared. So excess critical one. The value of X is last. Mannesmann So valuable age we can I hear daily walk a minus one in the value of beach. We'll know a lot in here. So the minus one well, the video of quiet one minus its the spread and do be now inventing is an indication of one X, and then they get enough excess guy and in the power of very indicates an excuse. But a kiddie limited minus one. Do what now? Most people like that, like in the parliaments of the Apple Limited one minus one Q by TD minus minus one minus minus one. Can you buy TV from here? We get one minus one between. Good to wait. TD minus minus one minus a leg minus minutes. Mess plus or minus minutes. Plus to the minus one. Last one day. No, simply pay more than you get. Who by T minus minus one plus on Betty's minus two Bay Hill. Now we wait three minutes minutes, plus so plus to obey team. It's now at the base close to Betty. Then they'll get the ideological do a magical before. Wait till so the final answer is for right. Thank you.

What I could do. Two x negative X squat. And here why I called to see you. So we put Hear why quarters you Then we get two X negative X squared quarters trio So here we get factor X two negative X equal to zero. So here executed ju Oh to negative X equal to zero. So we get X equal to two. So here's a limit. Ex concezio too X equal to two So now we have sketched the region enclosed by the given curve So you can see that here is our graph for this so you can see that here and here is the limit X equal to 02 X equal to two. Now we have to find the shedded area. So being treated two eggs negative X square D x 0 to 2 So now we know that two times in trickled eggs D x 0 to 2 negative and to you X square D x 0 to 2 So now you can see that here two times X squared upon to that is incredible off x 0 to 2 That is our limit Negative Act two the power three upon three Our limited 0 to 2. Now we put the limit and we get two times two squares. So here we get four upon to mhm and when we put lower limit X equal to zero. So we get here zeros. So here begins to no negative report your lower upper limit, which is to So we put here. So here we get eight upon three and lower limited zero. So here we get negative zero. So here, 8.3 No, we simplify this. So we get four negative 8.3. So now we take least common denominator and which is three. So we get three and in the new minister to a negative four, so we get 4.3, so it is our final and

Here we reckoned in the area another curve with the coaching integral from HP on the function F x t x In this question here were given the function. Why need coaching the chew off X on the interval from one too far And here we can identify, This will be the end api the phone the area because you integral from one too far. Haven't you have X t x? We know that anti derivative of this one equal to the to a line of the X from one too far. So we get equal to to to and then in the form on this and I don't know one, you know, and then under one equal to zero, therefore negativity you and then for


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