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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Answered: CHAPTER 1: RANDOM VARIABLES &…

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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• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The height of a randomly selected giraffe c. The eye color of people on commercial aircraft flights d. The number of free-throw attempts before the first shot is made e. The amount of rain in City B during April f. The number of hits to a website in a day a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable. b. Is the height of a randomly selected giraffe a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random…
The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about
4. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立

Four coins are tossed, and the number of heads is recorded. Shade the region on the histogram that gives the indicated probability. P(x > 2) Which of the following shaded regions gives the indicated probability? (Type A, B, C, or D.) A) 0.5- 0.38- 0.25- 0.13- 0- 0.5- 0.38 0.25- 0.13- लट 0 1 2 3 4 01 2 3 4 B) D) 0.5- 0.38- 0.25- 0.13- 0- 0.5- 0.38 0.25 0.13- 0- 0 1 2 3 4 0 1 2 3 4
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
C. Test value D. Make a decision
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