ICS AND PROBABILITYRAND & SECTION.QUESTIONS:1. How many students does the teacher have?2. What is the random variable in this activity?3. What are the values of the random variable?4. Find the sum of the probability of the random variable (W). Is the answer acoincidence or should this be expected? Briefly explain.5. How many learners is/are only child?6. What is the probability that a randomly-selected learner is an only child?7. What is the chance that a randomly-selected learner has at most two siblings?8-10. What is the probability that a randomly-selected learner has three or moresiblings? (Your two classmates Lisa and Felix tried to answer. Below are theirsolutions.)FelixP(W > 3) = P(W = 3 orW = 4 or W = 5 or W = 7)=P(W = 3) + P(W = 4) + P(W = 5) +P(W=7)=0.1 + 0.06 + 0.02 + 0.02LisaP(W > 3) = P(W = 4 or W = 5 or W = 7)=P(W = 4) + P(W = 5) +P(W=7)=0.06 + 0.02 + 0.02=0.1 or 10%=0.2 or 20%Therefore, the probability of picking a learnerhaving 3 or more siblings out of 50 students is 0.10or 10% of chance.Therefore, the probability of picking a learner having3 or more siblings out of 50 students is 0.20 or 20%chance.Who do you think got the correct answer? Briefly explain your answer.11-15. What is the probability that a randomly-selected learner have at least 2siblings? (Use the back page of this activity sheet for your solutions.) STATISTICSDirectly answer on this bond paper. Write your NAME, TRACK/STRANACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TOA GIVEN RANDOM VARIABLENAME:SCORE:TRACK/STRAND & SEC.:(HOW MANY SIBLINGS DO THE LEARNERS HAVE)In your Statistics class, the teacher wants to know the number ofsiblings 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 followingtable of frequencies. Let us use W to represent the number ofsibling/s.Probability of the Random Variable (W)W= Number of siblingsFrequencyP(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%211028354316.711/50=0.02 = 2%Total

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Description: ICS AND PROBABILITYRAND & SECTION.QUESTIONS:1. How many students does the teacher have?2. What is the random variable in this activity?3. What are the values of the random variable?4. Find the sum of the probability of the random variable (W). Is th

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Math

Probability

QUESTIONS: 1. How many students does the teacher have? 2. What is the random variable in this activity? 3. What are the values of the random variable?

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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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
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
1. How do you determine the values of a random variable? 2. How do you know whether a random variable is continuous or discrete? What is the difference between the two types of random variables?
1. TOSSING THREE COINS Suppose three coins are tossed. Let Y be the random variable representing the number of tails that turn up. Find the values of the random variable Y. Complete the table below. POSSIBLE OUTCOMES VALUE OF THE RANDOM VARIABLE Y (Number of Tails)
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Choose the correct definition of a random variable from the list below. A random variable is one whose values correspond to a scale with a countable number of values. one that occurs in one of two possible states, labeled success and failure. one that is measured to explain changes in the response variable. one whose values describe the outcome of some chance process. O one whose effect in an experiment cannot be distinguished from the effects of other variables.
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
The number of automobiles sold by a dealership in a day is an example of The binomial random variable. b. A continuous random variable. c. The normal random variable. d. A discrete random variable.