5. About 15% of a town's population consists of senior citizens. Let X count the numberof customers that arrive at a certain restaurant until the tenth senior citizen arrives.(a) What type of random variable is X? Indicate both the type and the appropriateparameters using the ""notation. Write down the pmf of X, and do not forgetto indicate the range of values that X can take on.(b) Compute P(X2 55). Write down this probability in term of binomial coeffi-cients, etc., and then use WolframAlpha to obtain a decimal approximation of theprobability.Probability=

Answered: Image /qna-images/answer/20ab54ce-45f0-4b65-9b8d-a78118b4c572.jpg

Answered: 5. About 15% of a town's population…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A concrete beam may fail either by shear (S) or flexure (F). Suppose that three failed beams are randomly selected and the type of failure is determined for each one. Let X = the number of beams among the three selected that failed by shear. List each outcome in the sample space along with the associated value of X. S: FFF SFF FSF FFS FSS SFS SF SS X:
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. 1. The maximum value in this range is ______ girls. 2. The minimum value in this range is ______ girls. 3. Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. C. Yes, 1 girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant. D. Not enough information is given.
A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack.i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s.ii. What is the probability that the order will be accepted?iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
A recent poll has suggested that 61 % of Canadians will be spending money - decorations, halloween treats, etc. - to celebrate Halloween this year. 23 Canadians are randomly chosen, and the number that will be spending money to celebrate Halloween is to be counted. This count is represented by the random variable X. Part (a) Compute the probability that 16 of these Canadians indicate they will be spending money to celebrate Halloween. P(X16) = (use four decimals in your answer) Part (b) Compute the probability that between 7 and 16 of these Canadians, inclusive, indicate they will be spending money to celebrate Halloween. P(7< X < 16) = (use four decimals in your answer) Part (c) How many of the 23-Canadians randomly chosen would you expect to indicate they will be spending money to celebrates Halloween? Compute the standard deviation as well.. E(X) = 4x = SD(X)=ox= (use two decimals in your answer) (use two decimals in your answer) Part (d) Compute the probability that the 14-th…
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 26 40 37 28 36 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since n is large with unknown σ. The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we assume that x…
following random 2. Let W be a random variable giving 1. Classify variables as discrete or continuous a. X: the number of automobile accidents per year in EDSA b. Y: the length of time to paly 18 holes of golf. c. M: the amount of eggs laid each month by a hen. d.P: the number of building permits issued each month in Camiling, the the number of heads minus the number of tails in three tosses of a coin. a. List all elements of the sample space S for the three tosses of the coin and to each sample point assign a value w of W. b. Find the probability distribution of the random variable W, assuming that the coin is biased so that a head is twice as likely Tarlac e. Q: the weight of grain produces per hectare. to occur as a tail. c. Compute for value, variance and standard deviation variabe W. the expected of the random
q21- Gender is an example of a continuous random variable. Select one: True False
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
nd markers without ink. Assume that the box contains 17 markers: 12 that contain ink and 5 tha ontain ink. A sample of 8 markers is selected and a random variable Y is defined as the number arkers selected which do not have ink. ow many different values are possible for the random variable Y? Part 2
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of >= 6 professional basketball players gave the following information. 81 64 67 72 73 73 y 51 46 40 47 47 46 X Given that S * 2.684, a*14.237, b≈ 0.446, and x*71.667, use a 1% level of significance to find the P-Value and test for the claim that (slope of the population regression line) is greater than zero. O Since the P-Value is is greater than than = 0.01, we fail to reject the null hypothesis that the population slope is not zero in favor of the alternate hypothesis that the population slope is greater than zero. O Since the P-Value is is greater than than = 0.01, we reject the null hypothesis that the population slope O Since the P-Value is is less than than a = 0.01, we reject the null hypothesis…
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
Total blood volume (In ml) per body welght (In kg) is Important In medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kg.t Red blood cell volume that is too low or too high can Indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 26 40 37 31 35 29 Let x be a random varlable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data Indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, nght-taled, or two-talled test? O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled O Ho: H- 28 m/kg; H: H 23 2$ backspace 1 4. 8 9.

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