A shipment of 8 similar microcomputers to a retail outlet contains 3 that are defective. If a school makes a random purchase of 2 of these computers, find the probability distribution for the number of defectives.

A shipment of 8 similar microcomputers to a retail outlet contains 3 that are defective. If a school makes a random purchase of 2 of these computers, find the probability distribution for the number of defectives.

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...

See similar textbooks

Similar questions

A laboratory research group did a microarray experiment five years ago with 10 subjects in the normal group, and 6 subjects in the diet group; one microarray per subject. They never published their results because they felt like their diet group was too small. Now they have more money and they want to get 4 diet animals, and run 4 new microarrays on those animals. They plan to add that data to their study so they can increase their statistical discovery power, and finally publish their results. Although increasing the number of subjects should increase the statistical power of the study, give a reason why increasing the number of samples might NOT result in more significant results.
Several epidemiologists conducted a cohort study of the effect of mercury exposure on the development of brain cancer. Subjects were followed for ten years. There were a total of 150,000 people in the study. Among the subjects, 76,000 were exposed to mercury and the rest were not. 52,000 of those exposed to mercury developed brain cancer, and only 1,200 of those unexposed to mercury developed brain cancer. Please create a two-by-two table. Calculate the relative risk and interpret it in a sentence. Calculate the attributable risk and interpret. Calculate the percent attributable risk and interpret. Assume that 30% of people in Rhode Island are exposed to mercury, calculate and interpret the population attributable risk and calculate and interpret the percent population attributable risk.
Give 7 other examples of random variables.
There are 10 eggs with different colors in each basket. A child randomly chooses 1 egg from each basket. Explain fully whether or not the binomial distribution can be applied to the problem of randomly choosing 3 green eggs from 5 baskets
A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute p, the proportion of the sample who are admitted to the medical school.
UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what their actual majors were. The results for males are shown in the table below. The second column in the table does not add to 100% because of rounding.Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Men - Expected Major Men - Actual Major Art & Humanities 11.0% 600 Biological Sciences 6.7% 330 Business 22.7% 1,130 Education 5.8% 305 Engineering 15.6% 800 Physical Sciences 3.6% 175 Professional 9.3% 460 Social Sciences 7.6% 370 Technical 1.8% 90 Other 8.2% 400 Undecided 6.6% 340 Part (e) What…
Ministry of Environment and Water conducted a research regarding changes of the sea surface temperature that can affect some species of animal, plants, and microbes in Malaysia. Three islands from 42 Islands that gazed as Marine Park in Malaysia are randomly selected as the sample for this study, which are Kapas Island, Kuraman Island and Rusukan Island. For each island, the temperature (in °C) was measured for 50 days. The Microsoft Excel output of descriptive statistics for the data are summarized in Table 1. CONF AL M3 (Apheaut) Test SPM to Table 1 toveko Kapas Island Kuraman Island Мean Rusukan Island 25.9338 Mean 24.2892 Mean 25.1300 Standard Error 0.8597 Median 0.7835 Standard Error 0.8737 25.6100 Median Mode 23.2000 hedian 26.4800 #N/A Mode Standard #N/A Mode #N/A Standard Deviation 6.0790 Deviation 5.5404 Deviation Sample Variance 36.9548 Sample Variance 6.1780 30.6959 Sample Variance Kurtosis -1.3121 Kurtosis 38.1679 Skewness -0.8547 Kurtosis -0.1360 Skewness -1.1987 Range…
A large ski mountain has a fleet of 4 snowmobiles it uses during the winter season. It believes that the time between consecutive repair operations for a single snowmobile is an exponential random variable with a mean of .75 weeks. There are two dedicated technicians that are capable of repairing the snowmobiles. A broken down snowmobile will be repaired by one of these technicians (when one becomes available) and the repair time of a snowmobile can be modeled as an exponential random variable with a mean of .4 weeks. (a) Describe a queueing system model of the repair operations of the snowmobiles by answering the following questions: What are the customers in the queueing system? What are the servers and what service is being provided? b) Provide the rate transition diagram of the birth and death process that captures the queueing system. Be sure to provide λn and µn for each relevant value of n and your logic behind any calculations used to obtain them (c) Provide the…
Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 429 292 289 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 465 303 311 447 295 495 329 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution.…
A shipment of 10 similar microcomputers to a retail outlet contains 4 that are defective. If a school makes a random purchase of 3 of these computers, find the probability distribution for the number of defectives.
A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) These data are shown in the table. Total weight gains (in kg) Ripped Gainz 14.1, 10.9, 12.1, 5.2, 12.0, 17.1, 9.0, 14.8, 11.2, 6.8, 12.4, 8.5, 12.1, 10.5 Send data to calc... v 7.6, 9.5, 8.6, 10.8, 7.9, 10.0, 8.4, 6.2, 8.6, 10.2, 8.9, 8.2 Send data to Excel Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.05 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the…
In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs expensive treatment to make it usable†. These data are also available for download at the Companion Sites for this text. For convenience, the data are presented in increasing order.