The 600 students in a faculty include undergraduates and postgraduates who may study full time or part time. Given that 420 of them are undergraduates, out of whom 400 are full times students. In total, only 50 students are part time. A student is selected at random. a) Find the probability that the student is a part time student. b) What is the probability if the student is a postgraduate given that the student taking full-time mode? c) Are events ‘undergraduate’ and ‘full-time’ independent? Verify your answer.

The 600 students in a faculty include undergraduates and postgraduates who may study full time or part time. Given that 420 of them are undergraduates, out of whom 400 are full times students. In total, only 50 students are part time. A student is selected at random. a) Find the probability that the student is a part time student. b) What is the probability if the student is a postgraduate given that the student taking full-time mode? c) Are events ‘undergraduate’ and ‘full-time’ independent? Verify your answer.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CT: Chapter Test

Problem 29CT

See similar textbooks

Related questions

Q: A political scientist surveys 71 of the current 109 representatives in a state's congress. Of them,…

A: Population consists of all individuals related to study. Sample is a subpart of the population which…

Q: 90 adults with gum disease were asked the number of times per week they used to floss before their…

A: Given data is

Q: Pounds 127 120 109 118 143 126 121 128 153 a. Find the correlation coefficient: r = Round to 2…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

Q: The math test scores of 20 UPN students are as follows: 9, 5, 3,10, 3, 8, 4, 7, 7, 5, 4, 8, 9, 7, 9,…

A: We have given data are 9, 5, 3,10, 3, 8, 4, 7, 7, 5, 4, 8, 9, 7, 9, 10, 10, 4, 1, 10

Q: The figure below shows the federal surplus or deficit from 1980 to 2015.

A: Given information: Given graph shows the federal surplus or deficit from 1980 to 2015.

Q: Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

Q: Jump to level 1 A home improvement company is interested in improving customer satisfaction rate…

A: Given that Sample size n =287 Favorable cases x =190 Sample proportion p^=x/n =190/287 =0.6620

Q: According to previous research, the mean amount of money spent on gifts for the holiday season by a…

A: The random variable X follows normal distribution. We have to construct 95% confidence level for the…

Q: Write a sentence that describes the most likely population of interest and another sentence that…

A: Population consists of all individual related to study. Sample is a subpart of population that…

Q: After first classifying by Gender, use the Boxplot option in SPSS to produce Box plots for the…

A: Consider the given boxplot (in a vertical format). The horizontal bold line inside the box indicates…

Q: Question 3 A study was conducted to determine the differences in the average weight loss of four…

A: Given Information: Consider the given data that shows the average weight loss of four groups of…

Q: 10. Sketch a scatterplot for these data: 10 8 4 3 2 1 1 2 3 4 7 8. 9. 10

A: We have given that the data of 7 participants A, B, C, D, E, F and G.

Q: Systolic and diastolic blood pressure are measured in a large sample of healthy adults. The…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: se variables is strong and linear. If a regression equation is constructed in order to predict…

A: Since it is given that the Systolic and diastolic blood pressure are measured in a large sample of…

Q: ISTICS AND PROBABILITY S Schoology A…

Q: The following data was accessed January 6, 2022: Country Total Deaths Total Cases Population…

A: We have to use world data for 1st question. Here given, Total deaths, total cases, total population,…

Q: (, 2, L42) Para me ter 1) AMEKa.ge Vhinhy of the Phili priwer truei gra dvotes at ymt F3 24.000 Mo…

A: Given,The mean no.of vehicles is at most 19

Q: The following results were obtained from statistical software: Syx (regression standard error) =…

A: From the above data Coefficient of determination 0.665

Q: Problem 1. An ethologist is interested in determining the average weight of adult Olympic marmots.…

Q: 28. In words, describe the relationship between X and Y that you found in #26.

A: We need to describe the relationship between X and Y.

Q: 19. What is the value of SSx? (SHOW YOUR WORK)

A: We need to find the value of sum of squares of X i.e. SSx using the given graph and table.

Q: general, if two variables are strongly associated, does it follow there must be a cause and effect…

A: Correlations means there is relationship between two or more variables.

Q: On a special region, the weather can only be either cool, warm or hot. If it is hot today, there is…

A: The weather can be cool, warm or hot. The states are : cool(c), warm(w), hot(h) If it is hot today,…

Q: A software company is interested in improving customer satisfaction rate from the 80% ourrently…

A: Solution Given that , claim proportion of customer satisfaction p=80% That p=0.80 To test the…

Q: A sociologist claims that the students’ college GPA’s in unrelated to their families’ incomes. For a…

A: It is given that Sample size n = 20 Correlation coefficient r = 0.40 Level of significance = 0.01

Q: A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam…

A: Introduction: It is required to find the proportion of all students who took 50 minutes or more to…

Q: A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if…

A: Given Mean=1.68 n=12

Q: A review of emergency room records at hospital was performed to determine the probability…

A: From the provided information, x P (X = x) 0 0.2725 1 0.3543 2 0.2303 3…

Q: You are interested in constructing a 99% confidence interval for the proportion of all caterpillars…

Q: (c) Compute the P-value. Round the answer to at least four decimal places. P-value

A: Given that Sample size n=354 Sample mean =25.8 Standard deviation =5.3

Q: In a survey conducted by a reputable marketing agency, 248 of 1000 adults 19 years of age or older…

A: Given that ; Sample size (n) = 1000 adults No. Of adults using their cell phones in every bathroom…

Q: JBC Pizza wishes to determine if the type of pizza a parson selects is related to the age of the…

A: For the given data perform Chi square test

Q: Para me ter No fatioe 1) Merage falavy of Poly fachine Vhinhy of thế Phili ppwer PURI gra dvoes at…

Q: JIUgy.com/2ommon-assessment-delivery/start/5808331814?action3Donresume&submissionld%3D835482324…

Q: (H.0.P. ) ce, 2, L74.2). Para me ter 1) Average Whivernty of the Phili ppiner trupi gra duates at…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the probability of the union of the following events. (Show your complete solution, 3 points…

Q: This is a hypothetical question: You run an RCT and there is imperfect compliance. In general, if…

A: RCT stands for Randomized Control Trials. Randomized Control Trials are the form of evaluation in…

Q: the l-value egrees of symmetry.] (Round to three decimal places as needed.) (d) Find the critical…

Q: Find the critical values x and x? for the given confidence level c and sample size n. c= 0.98, n= 15…

A: Given that Confidence level=98%=0.98=c Sample size=n=15

Q: and x for the given confidence level c and sample size n. ecimal places as needed.)

A: Given

Q: Roy is investigating how long his phone's battery lasts (in hours) for various brightness levels (on…

A: For the given data Correlation ( r ) =?

Q: Internet tax: The Gallup Poll asked 1043 U.S. adults whether they believed that people should pay…

Q: In 1945, an organization asked 1414 randomly sampled American citizens, "Do you think we can develop…

A: Given data number of success , x= 753 sample size, n =1414 population proportion,p= 0.5…

Q: d. Between 2 and 9 (including 2 and 9) of them live in poverty.

A: Given that Number of trials n=47 Success of probability p=0.10 X~binomial (n,p)

Q: According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft,…

Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

Q: Table #7.3.7 contains pulse rates after running for 1 minute, collected from females who drink…

A: The random variable pulse rate follows normal distribution. We have to test whether the mean pulse…

Q: DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND…

A: For the given data Mean = ? variance =? s.d =?

Q: which of the following statements is true about probablity (a) A probability of zero means that an…

A: Probability of an event is the chance of occurrence of that event.

Question

The 600 students in a faculty include undergraduates and postgraduates who may study full time or
part time. Given that 420 of them are undergraduates, out of whom 400 are full times students. In
total, only 50 students are part time. A student is selected at random.
a) Find the probability that the student is a part time student.
b) What is the probability if the student is a postgraduate given that the student taking full-time
mode?
c) Are events ‘undergraduate’ and ‘full-time’ independent? Verify your answer.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Expert Solution