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Problem 34 Hard Difficulty

The number of customer complaints for service representatives at a small company is given in the table. If one representative is picked at random, find the probability that the representative received
a. Exactly 3 complaints
b. Between 1 and 5 complaints, inclusive
c. At least 4 complaints
d. More than 5 complaints or fewer than 2 complaints
$$\begin{array}{c|c}\begin{array}{c}\text { Number of } \\\text { Complaints }\end{array} & \begin{array}{c}\text { Number of } \\\text { Representatives }\end{array} \\\hline 0 & 4 \\\hline 1 & 2 \\\hline 2 & 14 \\\hline 3 & 10 \\\hline 4 & 16 \\\hline 5 & 18 \\\hline 6 & 10 \\\hline 7 & 6 \\\hline\end{array}$$

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Video Transcript

in this problem, we have to study the give a table and uncertainty, Portions asked. The first question asked is if one present Britain is pretty random. What is the probability that that he present it received exactly? Three company. The people shows bag every president rapists who received except lately complaints. No Friday. Become bread off. Three present Pygmies the Earth All the frequencies break this four less Who bless 40 less bless 16. Bless it mean less and plus six pretty sick would do. Pick me, Christie. Quota number off the presently. This is tricky. So the program politic the program really think that the president is a picnic? Django, this is exactly three complaints This the number every present papers that received three complaints. Breath this plan if I paid by the total number of re present haters just baby. So recess. It will provide the white paper So people gravitate Girl brevity eating that the present defected random received exactly complaints. It's one divided by it. The next question asked this What? Mr Probability that re presently picked at random received complaints between by five inclusive to grasp the number pretty present paper use that received complaints. The green bundling price inclusive You. We had B number three president Pay please. Record deceived brunch Do could he? Good right. Price Complaint. So we had two plus would be less que nos 60 less. Everything rich is equal to 60. So the pro gravity through baby tea bread he prison people speak six Langham. Let's see between running five complaints, I use it busy. Quick. Oh, number three present Dateless that will sift between one and five Complaint, which is 60 divided by the total number off every president papers reach respecting so rhesus equal to three d white played by foot. Now, the next question I ask please, What was the program? It'd be that the re present rate of respect random received at least four complains the great thing about a free present Papers, breakfast Seek at least four complaints. We had me number three President Greatness Breakfast soup four, price six. Our seven grumblings because we want at least food so it can before are greater than Seoul. That this 60 Bless me. Plus Okay. Plus six Rick Christie, while proof, if weak. So the rebbe Greg he prison 3636 and go. This seed at least four complaints is equal to number three present papers. But received at least for complaint like this 50 right? Made Brady told somebody off every President Baker's it is me. So this is equal to fries, right? Paid right. Big rethinks always required probability. Now the next question asked these What is the probability bread we represented affected? Trento received more than five complex off fewer than two complaints You get the number for the president. Please read. Received more than five. Come, please. We head the number of three present. Break, please. Greg received six for seven. Come, please. So it is dead plus six and plus six. Is it quite to 16? No, a great number. Pretty present papers. Great to see you were drank too complacent. The egg We know but every president take mix breakfast. See? Zero are one promptly like this. What dress do re Chrissy? Quite to six. So rule brevity me dick He present 36 tango Receive more than friends complaints? Or if you were going to complaints Rezek Well too number for the President Nicolas That received more than five complaints that this 16 plus number of re present with this that received few wording to complaints that this six belive it bready total number of re present pictures, which is me. So this is equal to frankly, six be righted by Let me, frankly will be right there by me. So this is equal to 11 divided by four weeks. Thought the required probability is 11 divided by 40.

Other Schools
Top Algebra Educators
GH
Grace H.

Numerade Educator

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University