IDENTIFYING DISCRETE AND CONTIN-UOUS RANDOM VARIABLES. In Exercises5 and 60, refer to the given values, thenidentify which of the following is most ap-propriate: discrete random variable, contin-uous random variable, or not a randomvariable.5. a. IQ scores of statistics studentsb. Exact heights of statisticsstudentsc. Shoe sizes (such as 8 or 8½) ofstatistics studentsd. Majors (such as history) of sta-tistics studentse. The number of rolls of a die re-quired for a statistics student toget the number 4

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Computational Statistics (MASC 20003) -Spring- 2021-CW (Assignment 2)- All-R-QP 3) Let X be random variable represents the weights of the vehicles follows the normal distribution with mean B kg and standard deviation A kg. Find the probability that value taken by X is a. Find the probability that X less than (B + 20) kg. b. Find the probability that X greater than (B- 20) kg. c. Find the weights in kg that 95% of the vehicles exceed? Note that: A is first two-digit number (before English alphabet letter) from your college ID. B is last four-digit number (after English alphabet letter) from your college ID. For example, if your MEC ID is 16F23451, then A = 16 and B 3451 %3D
A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.03. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.5364 b. 0.3127 C. 0.5846 d. 0.404 е. 0.4773
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
Example Compute the expected value of a Bernoulli random variable.
Identifying Discrete and Continuous Random Variables. In Exercises 5 and 6, refer to the given values, then identify which of the following is most appropriate: discrete random variable, continuous random variable, or not a random variable. a. Exact weights of the next 100 babies born in the United States b. Responses to the survey question “Which political party do you prefer?” c. Numbers of spins of roulette wheels required to get the number 7 d. Exact foot lengths of humans e Shoe sizes (such as 8 or 81/2) of humans
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Nonconforming Conforming Total Supplier Parts Parts 45 4 49 Y 130 1 131 65 70 Total 240 10 250 Table 2.1: Inspection Results by Supplier If 250 parts described-in the table above are contained in the box, what is the probability of selecting a random part by supplier Y or by supplier Z?
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Assume that a coin is tossed twice. The coin may not be fair. The sample space consists of the outcomes (HH, HT, TH, TT}. Outcome HH HT TH TT Probability 0.38 1.04 0.09 0.27 Is the given a probability model? No No Yes
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent. What is the probability that at least one of the births results in a defect? 0.8574 1.0000 0.0000 O 0.1426

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IDENTIFYING DISCRETE AND CONTIN- UOUS RANDOM VARIABLES. In Exercises 50 and 60, refer to the given values, then identify which of the following is most ap- propriate: discrete random variable, contin-