a 3-point scale. Let X denote the rating given by expert A and Y denote the rating given by B. The following table gives the joint distribution for X and Y . 4.12 If a dealer’s profit‚ in units of $5000‚ on a new automobile can be looked upon as a random variable X having the density function fx= 21-x‚0<x<10‚elsewhere find the average profit per automobile. 4.14 Find the proportion X of individuals who can be expected to respond to a certain mail-order solicitation if X has the density function
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are lifted at a time. Compute the probability of an accident. [0.1587] 3. A soft –drink vending machine is set so that the amount of drink dispensed is a random variable with a mean of 200 milliliters and a standard deviation of 15 milliliters. What is the probability that the mean amount dispensed in a random sample of size 36 is at least 204 milliliters? [0.0548] 4. An automatic machine in a manufacturing process is operating properly if the lengths of an important
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binomial distribution for the random variable X? Give reasons for your answer in each case. (a) An auto manufacturer chooses one car from each hour’s production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimples‚ ripples‚ etc.) in the car’s paint. No: There is no fixed n (i.e.‚ there is no definite upper limit on the number of defects). (b) The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents
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An act of random kindness Introduction A random act of kindness is an allegedly selfless act carried out by a person or persons wishing to either give a hand or cheer up an individual or in some cases it extends to animals. There will commonly be no reason other than to make people smile‚ or be happier. Either spontaneous or premeditated‚ random acts of kindness are encouraged by various communities. In 1982‚ California peace activist Ann Herbert allegedly roughly wrote on a placemat in a restaurant
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There are many ways to select a random sample. Four of them are discussed below: Simple Random Sampling: In this sampling technique‚ each sample of the same size has the same probability of being selected. Such a sample is called a simple random sample. One way to select a simple random sample is by a lottery or drawing. For example‚ if we need to select 5 students from a class of 50‚ we write each of the 50 names on a separate piece of paper. Then‚ we place all 50 names in a hat and mix them thoroughly
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Random Acts of Kindness For our Random act of Kindness project we decided to surprise a teacher with flowers‚ candy‚ and pictures of her favorite animals. We chose Mrs. Adams because we all like her as a teacher and she was recently going through a hard time. I brought her some flowers‚ purchased some of favorite candy‚ and drew pictures of her favorite animals. During advisory we placed the gifts right by her door and knocked on her door. We then ran away and left the gifts as a surprise. Who
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During one of my Online Facebook sessions‚ I was watching a video on random acts of kindness called “Validation”‚ it reminded me that performing random acts of kindness like simply complimenting people is something that I need to incorporate more into my life on a regular basis. I actually had a warm feeling inside knowing that many people have done so many kind things to me. I too have done many kind things to others; but‚ I had still not decided to incorporate this small thing into my life. I immediately
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Types of Sampling In applications: Probability Sampling: Simple Random Sampling‚ Stratified Random Sampling‚ Multi-Stage Sampling * What is each and how is it done? * How do we decide which to use? * How do we analyze the results differently depending on the type of sampling? Non-probability Sampling: Why don’t we use non-probability sampling schemes? Two reasons: * We can’t use the mathematics of probability to analyze the results. * In general‚ we can’t count on a non-probability
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RANDOM ACTS OF KINDNESS Day of the week Target Act Monday Someone in my homeroom I helped a person in my homeroom by telling him that his bag was wide open. When he realized that his bag was open‚ he had gotten a smile on his face and he did give me a smile for helping him. I also felt really different and positive because after helping anyone makes you feel that you are a good person and that negativity is something that doesn’t really suit you. Tuesday A family member I washed the dishes
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Suppose he can handle at most 3 complaints in half an hour. a. What is k? b. What is the probability there are less than 2 complaints in half an hour? c. What is the probability there are less than 2 complaints in an hour? 3. A random variable [pic] can be assumed to have five values: 0‚ 1‚ 2‚ 3‚ and 4. A portion of the probability distribution is shown here: |x |0 |1 |2 |3 |4 | |P(X
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