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Reauls for this aubmiaalonEmaradAnawer PrevemRezul0.840.84correct0.840.84correct0.520.52incomect-1.16~1.16inconectAl leasl one of Ine answers above NOT corteclpoint...

Question

Reauls for this aubmiaalonEmaradAnawer PrevemRezul0.840.84correct0.840.84correct0.520.52incomect-1.16~1.16inconectAl leasl one of Ine answers above NOT corteclpoint) For each probability expression, find the unknown z-value(s). Unless direcled othenwvise , use thme decimal: in your answers{a) P(Z < z) 0.8. Find Z0:0.84() P(Z < zo) 0.2. Find z0-0. 84P(Z > %) = 0.3. Find z0:0.52(c) P(z < 2 < 0.09) 0.4408. Find Z0-1.16(use twO declmals)

Reauls for this aubmiaalon Emarad Anawer Prevem Rezul 0.84 0.84 correct 0.84 0.84 correct 0.52 0.52 incomect -1.16 ~1.16 inconect Al leasl one of Ine answers above NOT cortecl point) For each probability expression, find the unknown z-value(s). Unless direcled othenwvise , use thme decimal: in your answers {a) P(Z < z) 0.8. Find Z0: 0.84 () P(Z < zo) 0.2. Find z0- 0. 84 P(Z > %) = 0.3. Find z0: 0.52 (c) P(z < 2 < 0.09) 0.4408. Find Z0 -1.16 (use twO declmals)



Answers

Find the expected value for each random variable.
$$\begin{array}{|c|cccc|} \hline {z} & {9} & {12} & {15} & {18} & {21} \\ \hline {P(z)} & {0.14} & {0.22} & {0.38} & {0.19} & {0.07} \\ \hline \end{array}$$

Okay. These problems are asking you to read a table of Z values and find whatever probabilities they ask you find this table usually at the end of your textbook or a quick google search will bring it up in google cumulative normal probability table. Okay so for letter A letter A is talking about um values of Z Between negative 2.15 And -1.09. Okay, wants to know what the probability of getting a Z value between those two numbers is. Okay. So we need to find look at our table and find the number of the probabilities for each of these values. So negative 2.15 is .0158. Mhm. And -1.09 is .1379. All right now for each of these problems, you always need to take the larger Z value that the probability from the larger Z value this and subtract it from the smaller z values to 1.1379 minus 0.158 Anytime you have a range of numbers like this, you always take the bigger minus the smaller to get your probability. So 13.79 -1.58. This is 12.21%. The probability of 12.21%. That z value falls between these negative 2.15 and negative 1.09. Alright, let her be same question two different numbers negative 0.93 and 0.55. Okay. Again look on your table, negative .93 is 17.62%. Mhm. And 0.55 is 70.88%. And then you just subtract them 7.88 -17.62 53.26%. And similarly for letter D, we have 0.682, 0468 on my table is 75.17, Yeah, 2.11 is 98.26. So subtract 98.26 -75.17. Mhm. And you get 23.09%.

46. We need to find the probability that lies between zero and 4.54 from table three A. We can get very that that is smaller than zero is equal toe 4.5. And the probability that then is smaller than open 54 is equal toe point nine or 74 So this very in the differences between this both to language, which is four point. Um, sorry. This is 4.7 eso the difference between these two great 0.2 all 54

In this question. We want to find the shed at area understanding, Normal distribution. Cook. We want to find the probability in which a simple Z is between zero and 0.95

All right. These problems are asking you to use the cumulative normal probability table. All right. This is probably an appendix in the back of your textbook Alright letter A asks for The probability of getting a z value from negative 1.99 2 -1.03. So to do this, you need to look at the table of Z values and find the probability that corresponds to each of these numbers. So negative 1.99 on my table has a probability of 2.33, and negative 1.03 on the table Has a probability of 15.15%. All right, now, when you're doing dealing with ranges, you have to always take the bigger number and subtract the smaller number from it. All right. Because remember what's actually going on is the Z values? They're they're representing areas under the normal curve. If you have a Z value right about here, it's actually telling you the area all the way under the left side of the curve. All right, so negative 1.99 is saying something like this picture. I've just drawn a negative 1.03 is like taking uh taking the whole area under the curve between these two. But you'll notice this area gets counted twice. So that's why you you have to subtract the bigger which is this whole area from? The smaller Which is this area. So you do negative the negative 1.03 which we said was 15.15 and subtract 2.33 from it. Get your answer here. So that is 12 Uh 82%. Alright, let her be is asking same question from negative .87 all the way to 1.58. All right, So negative .87 is 19.22 And 1.58 is 94.29%. So 94.29 -19.22. This is 75.08%. All right. Then. Finally a letter C we have 0.33 all the way to 0.96. has a value of 62.93 .96 has a value of 83.15%. Mhm. 82.15 -62.93 Is 18.78%. Excuse me, It's not right Like can't sleep tonight. Okay. Yeah, that's correct. Mhm. This is 20.22%.


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