5

(2 points) PMF of special random variables_ When yOU are hiking in Hawaii, mosquito lands on your neck with probability 0.5 at each second. If a mosquito lands; it ...

Question

(2 points) PMF of special random variables_ When yOU are hiking in Hawaii, mosquito lands on your neck with probability 0.5 at each second. If a mosquito lands; it will bite You with probability 0.2, and it will never bother you with probability 0.8, independently of other mosquitoes_ Denote the time (in seconds) between successive bites by X. Find the PMF of X.

(2 points) PMF of special random variables_ When yOU are hiking in Hawaii, mosquito lands on your neck with probability 0.5 at each second. If a mosquito lands; it will bite You with probability 0.2, and it will never bother you with probability 0.8, independently of other mosquitoes_ Denote the time (in seconds) between successive bites by X. Find the PMF of X.



Answers

A binomial random variable $x$ is based on 15 trials with the probability of success equal to 0.2. Find the probability that this variable will take on a value more than 2 standard deviations from the mean.

In problem for we cast the die to independent times and we let X. P. is the absolute value of the difference of the two resulting values. For example, if the two times gives one and four the X near equals three. We want to find the probability mass function of X here. It is not necessary to find a formula for the probability mass function. Then we can just get all possible values of X and find its probability. Then define the probability mass function. X can take Values ranges from 0 to 5 from zero. Can take 01, 2, 3, 4, 5. Because the maximum difference comes when the two numbers is one and six or six and one, then we have only two possibilities to have five and four will be for numbers for possibilities to have one and five or five and one of course two and 6 or 600. And when we get to three, These possibilities will be three. Not to blow by two will be six And for two will be former to blow by two is it? One will be five multiplied by two. Well beaten and zero. We have only six beers. We're not being multiplied by two Because six and 6 is the same as six answer. Then it's only six or 12 divided by two. These are the number of possibilities. And to get the probability We add by the submission and submission should be six multiplied by six 36. Six plus 10 plus eight plus six plus four plus 2. 36. Yes. Then It's one divided by six. Then by the bus at six It's five divided by 18. Then divided by 36. He stood divided by nine. Six and a quarter percent six. Of course one divided by six. four divided by 36 Is one divided by nine. and finally two divided by 36 is one divided by 18, and to find the probability mass function V. Of X. It equals one divided by sex, when X equality, five divided by 18. When X equals one, two divided by nine, and X equals two, one divided by six. x equals three. one, divided by nine. X equals four, wonderful by 18 When x equals five, and this is the final answer of our problem.

Yeah. The probability that a random variable Is greater than or equal to two. Because the probability is that 8, 8 holes too, Since the random variable can take -2 -101 M2. And so their sickles point to. Mhm And its expectation he calls assam mhm of the value of the outside times is probability. Richie calls -2 times point to plus minus one times point to Plus zero times point to Because one times point to Plus two times point to. And this it goes miners point fel Miners .2 plus .2 plus .4 and The final answer is zero.

When you're going in the expected value in this problem. Uh That processes, it's pretty familiar because each outcome has a certain probability. So as we're looking at this too, As a probability of one in 20, uh Moving on to the fore. As a probability, it's most likely to happen 15 out of 20. uh then six only happens twice out of 20 And then the last one of eight, he's yeah, A score of two out of 20, so those probabilities makes sense. It adds up to one. So what you do is you multiply as you, you know, I guess I could show the word two times one out of 20 Plus four times 15 out of 20 Plus six times 2 out of 20 and eight times 2 out of 20. Now, I would probably just leave these all over 20 because there's a like to nominate, we can just put together and then just multiply it into the expo or start into the numerous two times one. Four times 15, that's a full time around the clock. If you do math the way I do, that makes sense. Um and then this will be 16. So as you add up those values, uh let's see, 16 plus 12 would be 28 Plus two, maybe 30 plus the 60 would be 90. So if you divide I actually like to leave an answer as a fraction nine hats. Um But what's that actually equal to is about 4.5? Um Yeah. Mhm. So this Yeah

Okay. We know that p of four is 0.2 and the sum of all the probabilities must be one. Therefore, p of X greater than two is your 20.6. So we're looking at P of three plus p of four. So we know that P A 40.2 if you have X is greater than two. Is your point sex?


Similar Solved Questions

5 answers
1 0 1 1 I86 2 1 IEe 1 J: 1 { 09 0 E 28} 1 1 4J- E ZE 3 2 WE 02 1 ]V a { I6 E { L 0 | 0 1 @ 1 { }h 1 1 L 1 1 1 V { L 6 1 F 2t L 1 1p 8 1 5 E 0[
1 0 1 1 I86 2 1 IEe 1 J: 1 { 09 0 E 28} 1 1 4J- E ZE 3 2 WE 02 1 ] V a { I6 E { L 0 | 0 1 @ 1 { } h 1 1 L 1 1 1 V { L 6 1 F 2t L 1 1 p 8 1 5 E 0 [...
5 answers
NOHl H,ocuiv NaOC Hs C HYOH BrCH;CH,CH;CH;C,BrCH;(COC H;hPhCH-CO,C,H;LDAIHF PbCCH,BrBrr CHCo h Pyridine. hcatDraw the GTFIGATES of the aldol self-condensation product for each of the following compounds Write the complete stepwise mechanism for Ta O the back of this page:al-f#-al-ch CH;H (intramolecular)
NOHl H,o cuiv NaOC Hs C HYOH BrCH;CH,CH;CH;C,Br CH;(COC H;h PhCH-CO,C,H; LDAIHF PbCCH,Br Brr CHCo h Pyridine. hcat Draw the GTFIGATES of the aldol self-condensation product for each of the following compounds Write the complete stepwise mechanism for Ta O the back of this page: al-f#-al-ch CH; H (in...
5 answers
_3 1 /Find all vectors X and y such that xyT-2
_3 1 / Find all vectors X and y such that xyT -2...
5 answers
F++AwWZA; 8a}Nnfnic #5lvFr
F++Aw WZA; 8a} Nnfnic #5lv Fr...
4 answers
Biological transmission: complex process, initiated via bite spread requires insect consumes blood from several mammalian hosts pathogen multiplies in vector s gut, migrate to salivary glands; injected directly into host following a bite (?) ap erp Ids ~l Ran Q~JJ {ilord ccr- Jas} vector serves as the host too 1JL 70 ce $5 Ex: Dengue virus, West Nile, Plasmodium sps transmitted by mosquitoEiet uakaL34lrO7eAir 6'.
Biological transmission: complex process, initiated via bite spread requires insect consumes blood from several mammalian hosts pathogen multiplies in vector s gut, migrate to salivary glands; injected directly into host following a bite (?) ap erp Ids ~l Ran Q~JJ {ilord ccr- Jas} vector serves as t...
5 answers
When the price of juice is S4.40 per bottle company supplies 56 bottles: If the price drops to 54.35 per bottle, the company supplies 54 bottles_ Assuming the supply function is Iinear; find an equation S(p) for the number of bottles supplied as function of = the price per bottle (in dollars).OA S(p)40p2244.40 B. S(p) 40p 2235.6 S(p) 0,0sp 55.78S(p)40p 232OE S(p) 40p 120
When the price of juice is S4.40 per bottle company supplies 56 bottles: If the price drops to 54.35 per bottle, the company supplies 54 bottles_ Assuming the supply function is Iinear; find an equation S(p) for the number of bottles supplied as function of = the price per bottle (in dollars). OA S(...
5 answers
Li 1 1 eachl the the by revolving Consider L the region the shell IH method line method pue the V 3 following X< H solid
li 1 1 eachl the the by revolving Consider L the region the shell IH method line method pue the V 3 following X< H solid...
5 answers
Problem 1 Part a: Find the area bound by the curve and x-axis fromx = 2 tox= 5: 1 f(x) = x2Problem ! Part b: Find the area bound by the curve and X-axis fromx =-2 tox= 5: f(x) = 2x3Problem 2 Part e: Find the anti derivative XVx - 5 dxProblem 2 Part b: Find the anti derivative sin(Sx + 3) dx Problem 3 Parta Find the derivative f(x) = ex xBe* + 2Problem 3 Part a Find the anti-derivative f(ex + 1)dx Problem 4 Find dx ex T ev + eZxy + _ =5 dx
Problem 1 Part a: Find the area bound by the curve and x-axis fromx = 2 tox= 5: 1 f(x) = x2 Problem ! Part b: Find the area bound by the curve and X-axis fromx =-2 tox= 5: f(x) = 2x3 Problem 2 Part e: Find the anti derivative XVx - 5 dx Problem 2 Part b: Find the anti derivative sin(Sx + 3) dx Probl...
1 answers
Right, or wrong? Say which for each formula and give a brief reason for each answer. a. $\int \sqrt{2 x+1} d x=\sqrt{x^{2}+x+C}$ b. $\int \sqrt{2 x+1} d x=\sqrt{x^{2}+x}+C$ c. $\int \sqrt{2 x+1} d x=\frac{1}{3}(\sqrt{2 x+1})^{3}+C$
Right, or wrong? Say which for each formula and give a brief reason for each answer. a. $\int \sqrt{2 x+1} d x=\sqrt{x^{2}+x+C}$ b. $\int \sqrt{2 x+1} d x=\sqrt{x^{2}+x}+C$ c. $\int \sqrt{2 x+1} d x=\frac{1}{3}(\sqrt{2 x+1})^{3}+C$...
1 answers
Give the exact value of each expression. See Example $5 .$ $$\cos 30^{\circ}$$
Give the exact value of each expression. See Example $5 .$ $$\cos 30^{\circ}$$...
5 answers
V H 948E 1
V H 948 E 1...
5 answers
A shop sign weighing 210 NN hangs from the end of auniform175-N beam-Find the tension in the supporting wire (at 35.0∘∘). -Find the horizontal force exerted by the hinge on the beam atthe wall. -Find the vertical force exerted by the hinge on the beam at thewall.-
A shop sign weighing 210 NN hangs from the end of a uniform175-N beam -Find the tension in the supporting wire (at 35.0∘∘). -Find the horizontal force exerted by the hinge on the beam at the wall. -Find the vertical force exerted by the hinge on the beam at the wall. -...
5 answers
Use the gven :ranstormation#vallate -ha [email protected] c33yherthe -rpezjicaeon ~icn 3tca0), (0, 3)'
Use the gven :ranstormation #vallate -ha [email protected] 5 c33 yher the -rpezjicae on ~icn 3tca 0), (0, 3)'...
5 answers
(D) Find the solution of the IVP (solution)
(D) Find the solution of the IVP (solution)...

-- 0.022201--