A teacher buys 500 pens, of which 90 are blue pen and the rest are reds and greens. It isfound that 20% of the total pens bought are defective. There are 5 defective red pens and 40defective blue pens. 250 of the non-defective pens are green.а)Construct aolej Matb)If a pen is selected at random, calculate the probability that the pen isi)green if it is known that the pen is defective.ii)defective blue pen or non-defective red pens.KMIc)Determine whether the events 'defective' and 'not a red pen' are independent.

Construct contingency table from given information.

found that 20% of the total pens bought are defective. There are 5 defecti defective blue pens. 250 of the non-defective pens are green. a) Construct a Mohor olej Ma b) If a pen is selected at random, calculate the probability tha i) green if it is known that the pen is defective.

found that 20% of the total pens bought are defective. There are 5 defecti defective blue pens. 250 of the non-defective pens are green. a) Construct a Mohor olej Ma b) If a pen is selected at random, calculate the probability tha i) green if it is known that the pen is defective.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

See similar textbooks

Related questions

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 5...

A: a) Assume that p as the true population proportion of defaults under $10,000 to be made next month.

Q: Discrete Probability: Each person in a class of 15 students was asked to secretly write down their c...

A: Solution

Q: SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and c...

Q: normal distribution and graph clearly. Show your complete solution and write clearly and readable. T...

A: Given that. X~N( μ , ?^2 ) μ=28 , ?=4 Z-score =( x - μ )/?

Q: Find the indicated probabilities: a. P(5sxs7); µ=6; 0=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c. P(7sxs...

A: Given problem Given that a) P( 5 ≤ x ≤ 7 ) μ = 6 σ = 2 Then, = P( [ 5 - 6 ] / 2 ≤ [ x - μ ] / σ...

Q: The number of hours of computer usage in a day of a random sample of 20 students was recorded as fol...

A: The number of hours of computer usage in a day of a random sample of 20 students was recorded. We ne...

Q: The joint probability dis fxy Where k is a constant.

A: Given

Q: Q1. Sixteen red balls have numbers from 1 to 16. If a ball is drawn at random, find: 1- probability ...

A: There are total 16 red balls. These balls have number 1 to 16. There are total 8 even numbers. 2,4...

Q: In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collecte...

Q: Median [ Choose ] Mode [ Choose ] Range [ Choose ] > > >

A: We have given that Median = middle value of the data set . Mode = most frequent value of the data ...

Q: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products...

Q: Discrete Probability: What is the expected outcome of a hypergeometric distribution in which 10 obje...

Q: Discrete Probability: The student council is selecting six teachers to judge a talent contest. There...

Q: The time to the nearest whole minute, that a city bus takes to go from one end of its route to the o...

A: Mean : A mean is that the basic mathematical average of 2 or additional numbers. There area unit man...

Q: Find the expected value of the probability model.

Q: Suppose a fair die is thrown twice. Let us consider the following variable random: X = the maximum v...

A: Introduction: Denote X1 as the outcome on the first throw, and X2 is the outcome on the second throw...

Q: A project team of 2 to 5 people is being formed from a staff of 15, How many such teams are possible...

Q: 0V find The Sample space furThe experiment.of throwing a Pink dice chce and define The avent Er with...

A: Solution

Q: P(X) X*P(X) X-u (X-u)^2 [X-))^2]*P(X) 0.48 3 0.36 4 0.11 0.05 LO

Q: X is a normal variate with mean 1 and variance 4. Y is another normal varaite independent of X, with...

Q: Nicole Mariana and Deibey Nicolas, the Fajardo Rincon twins, ran a summer business. They put their e...

A: Given Account information of 1st 4 month Find Use the equation to predict how much money will be in ...

Q: There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 47% of the...

A: Solution: Given that: p= 0.47 Population proportion n= 7 Sample size

Q: Which is the best approximation of the fixation probability of the mutant B allele, present as one i...

Q: The answer above is NOT correct. You ask a neighbor to water a sickly plant while you are on vacatio...

A: Given that P( die | no water) =0.7 P( die | water) =0.55 P( water ) =0.87 P(no water ) =1-0...

Q: A couple intends to have children until they get at least one boy and one girl, but they agree that ...

Q: Determine the correlation for the following joint probability distribution y f(X.y) | 1/8 1 1 2 4 3 ...

A: Let X and Y be two random variables. Then the correlation coefficient between X and Y is given by, ...

Q: na job fair, 3000 applicants applied for a job. Their nean age was found to be 28 with a standard ev...

A: given that. X~N( μ , ?^2 ) μ=28 , ?=4 Z-score =( x - μ )

Q: CNNBC recently reported that the mean annual cost of auto insurance is 958 dollars. Assume the stand...

Q: 3. Suppose that in a casino, a certain slot machine pays out an average of Php 15, with a standard d...

A: Given that, In a casino, a certain slot machine pays out an average of Php 15 with a standard deviat...

Q: 352 students are signed up for freshman physics what is the largest number of section of physic offe...

A: Equation : An equation is a mathematical statement that consists of an equal symbol between two alge...

Q: During the 2015–16 NBA season, Stephen Curry of the Golden State Warriors had a free throw shooting ...

A: X~Bin(n=2, p=0.908)

Q: 10.0cherwise, Compute the probability

Q: The table below shows the soft drinks preferences of people in three age groups. COLA ROOT BEER LEMO...

A: Solution

Q: Evaluate 12C9

A: GivenC912

Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

Q: An array of 30 LED bulbs is used in an automotive ight. The probability that a bulb is defective is ...

Q: 1. Describe the distribution of the mean of the sample means for samples of sizes i) ii) 10 50. 2. D...

A: Here use central limit theorem

Q: Ex. 1. 7. The mean age of non-residential buildings is 30 years and their standard deviation 5 years...

Q: A bin of 50 parts contains 5 that are defective. A sample of 10 parts is selected at random, without...

Q: Babies: According to a recent report, a sample of 300 one-year-old baby boys in the United States ha...

A: We have given that, Sample mean weight (x̄) = 25.5, population standard deviation (σ) = 5.3 and sam...

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...

Q: 1.)Find the proportion of the area above z= -1. Draw the graph. Please show your complete solution. ...

Q: QUESTION 1 There are -two- boxes containing blue and white marbles. Box 1 has 4 blue and 3 white mar...

A: There are two boxes. 1) Box 1 contains 4 Blue and 3 White Marbles 2) Box 2 contains 3 Blue Marbles...

Q: Below is a tree diagram showing the likelihood of it snowing on two consecutive days. Day after tomo...

Q: There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 45% of the...

Q: outcomes are defined in terms of the results of the three interviews. Bffer for a position ör no off...

Q: Your friend convinces you to play a game where you roll a standard die one time. It costs $5 to play...

Q: The normal probability of a z-score of 1.26 is 89.62%. O True O False

Q: In a city, weekly observations were made in a study on the living index of families. NOTE: the maxim...

A: First we enter the given data into Excel sheet. Then we highlight the data, and go to Insert > C...

Q: A manager accepts the work submitted by his typist only when there is no mistake in the work. The ty...

A: Given that A manager accepts the work submitted by his typist only when there is no mistake in the ...

Question

A teacher buys 500 pens, of which 90 are blue pen and the rest are reds and greens. It is
found that 20% of the total pens bought are defective. There are 5 defective red pens and 40
defective blue pens. 250 of the non-defective pens are green.
а)
Construct a
olej Mat
b)
If a pen is selected at random, calculate the probability that the pen is
i)
green if it is known that the pen is defective.
ii)
defective blue pen or non-defective red pens.
KMI
c)
Determine whether the events 'defective' and 'not a red pen' are independent.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here