STATISTICS & PROBABILITYOPPORTUNITY CLASS2526272829P(x)0,130,270,280,180.14CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTIONSTATWORK #1C. Solve the following problems.Name:Student No.Grade and Section:Date:1. Find the mean and standard deviation of the following probability distribution.A, Classify each random variable as either discrete or continuous,P(x)10.151. The number of arrivals at an emergency room between midnight and 6 AM.2. The weight of a box of cereal labeled "1818 ounces."0.3050.253. The duration of the next outgoing telephone call from a business office.4. The number of kernels of popcorn in a 11-pound container.5. The number of applicants for a job.6. The time between customers entering a checkout lane at a retail store.7. The weight of refuse on a truck arriving at a landfill,8. The number of passengers in a passenger vehicle on a highway at rush hour,9. The number of clerical errors on a medical chart.70.3010. The number of accident-free days in one month at a factory.2. At a car wash, an attendant is paid according to the number of cars that are servicedduring his shift. If X is the amount of income the attendant receives aver a two-hourperiod, compute the employee's expected earnings for two hours. The probabilitydistribution of X is shown below:B. Determine whether or not the table is a valid probability distribution of a discreterandom variable, (VES or NO)-224P(x)0.30.50.20.150751001251501,1254,14.65.3P(x)1/72/72/71/71/7P(x)0,160,140110.270,220.50,250,25P(x)-0.40.50.1| 3. A woman can earn 50,000 pesos in one year with a probability of 0.35 or lose 15,000 overthe same period with a probability of 0,65 by investing in the stocks of a certaincompany, Compute her expected earnings from this investment.(Amount of Gains and Loses)P(z)4. A company estimates that about 0,7% of their products will fail after the 1-yearwarranty but within two years from the date of purchase, If this happens, the companywill pay a replacement cost Php3,500, If the company offers its customers an extendedwarranty covering a period of two years for the price of Php 480, what is the company'sexpected value for each extended warranty that it can sell?(Amount of Gains and Loses)P(z)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use α = 0.01. Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
2.Direction: Classify the random variables as DISCRETE OR CONTINUOUS. 1. The number of votes favoring a candidate. 2. The average amount of electricity consumed per household per month. 3. The number of dropout in SWA for a period of 5 years. 4. The amount of paint utilized in building a project. 5. The speed of a car. 6. Number of tourist each year in a museum. 7. Height of Eiffel Tower in Paris. 8. Number of people who play LOTTO each day. 9. Percentage of the population of Kalinga. 10. Frequency of radio station.
A survey asks 1100 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Forty-six percent of those surveyed say they are reducing the amount of vacation. Ten workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? No Yes What is a success in this experiment? Selecting a worker who is not reducing the amount of vacation Selecting a worker who is reducing the amount of vacation This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. O A. n= B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer…
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.70 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.45 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.45 grams? Use α = 0.05. How to solve for p
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and ? = 0.86 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.60 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.60 grams? Use ? = 0.10. (a) Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
ersity of Nizwa If 20 babies are born, Assume that the gender of a baby is male or female. recording if the baby is male or not. Which of the following experiments would have the same distribution as of this situation? Select one: O A. Choose the first twenty digits from a row in the random number table. Designate odd numbers to mean "female" and even numbers to mean "male." O B. Flip a coin twenty times. Designate a head to mean "female" and a tail to mean "male." O C. Roll a die twenty times. Designate a 1, 2, or 3 to mean "female" and a 4, 5, or 6 to mean "male." O D. All of these will have the same distribution Nex 电月公。 اكتب هنا ل لبحث TOSHISA
ACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TO A GIVEN RANDOM VARIABLE NAME: . TRACK/STRAND & SEC.: SCORE: (HOW MANY SIBLINGS DO THE LEARNERS HAVE) In your Statistics class, the teacher wants to know the number of siblings the learners have. Teacher: How many of the class have 0 sibling? Class: (There were 2 learners who raised their hands.) Teacher: How many of you has 1 sibling? Class: (There were 10 learners who raised their hands.) This continues until 7 siblings. Suppose that we have the following table of frequencies. Let us use W to represent the number of sibling/s. Probability of the jRandom Variable (W) P(W) 2/50 = 0.04 = 4% 10/50= 0.2% = 20% 28/50=0.56%=56% 5/50=0.1 = 10% 3/50=0.06 6% 1/50=0.02 = 2% W= Number of siblings Frequency %3D 1 10 %3D 28 3 4 3 %3D 1 7 1 1/50-0.02 2% Total
Which of the following is not a random variable? The number of heads in ten tosses of a fair coin. The number of passengers in cars passing though a toll booth. The age of the driver in cars passing through a toll booth. The response of randomly-selected people to the question, “Did you eat breakfast this morning?” The response of randomly-selected people to the question, “How many hours of sleep did you get last night?"
Two different professors teach an introductory statistics course. The table shows the distribution of final grades they reported. We wonder whether one of these professors is an "easier" grader. Answer parts a) and b) below. Prof. Alpha Prof. Betal A 6. 11 B. 6. 14 12 Below C 11 4. 11 C.... a) Find the expected counts for each cell in this table. Prof. Alpha Prof. Beta (Round to two decimal places as needed.) A B Below C b) Test the hypothesis about the two professors, and state an appropriate conclusion. (Assume a significance level of a= 0.05) State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: The grade distributions are different. HA: The grade distribution is the same for both professors. O B. Ho: The grade distribution is the same for both professors. Ha: Professor Beta gives out more C's than Professo Alpha. OC. H: The grade distribution is the same for both professors. HA: Professor Alpha gives out more A's than Professor Beta. OD.…
B. random sample D. None of the above 4. Which of the following is an example of a discrete random variable? A. weight of a new born baby B. body temperature of COVID-19 patients C. number of heads that will out if you toss a coin twice D. height of volleyball players 5. Shiela decided to conduct survey of families with four children. She is interested in counting the number of boy in each family. Is this a random variable? A. Yes, it is a random variable. В. Маybe C. No, it I not a random variable D. Cannot be determined 6. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? А. 2 7. Cardo decided to order a pizza but he needs to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering a pizza, from which of the following should you choose? В. 3 С. 5 D. 10 A. Crust: thin or deep dish ; Toppings: cheese, bacon, sausage, pepperoni or hotdog
Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o= 0.88 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is = 4.65 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.65 grams? Use x=0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? OH μ 4.65 g; right-tailed OH = 4.65 g; H₂ μ< 4.65 g; left-tailed OH = 4.65 g; Hμ 4.65 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…

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