A random sample of 20 widgets was examined, 4 widgets out of these 20 are found to be defective. What is the probability that the machine had been shaken? Hint: What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has been shaken? What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has not been shaken? (b)

A random sample of 20 widgets was examined, 4 widgets out of these 20 are found to be defective. What is the probability that the machine had been shaken? Hint: What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has been shaken? What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has not been shaken? (b)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Which qualities are preferred for an estimator? (Select all that apply.) Not centered around the…

A: The qualities preferred for an estimator are: Unbiasedness: The estimator is not centered around…

Q: A factory that manufactures bolts is performing a quality control experiment. Each object should…

A: The hypothesis is zero. There is a difference between the two: Ming is greater than 13 brackets. .

Q: Consider a blood test for some virus. 200 persoons received the test and here is the result: 120…

A: given the following information 200 person received the test 120 person who are healthy rested…

Q: Explain why Random Early Detection calculates drop probability using two thresholds. Diagrams…

A: Random Early Detection (RED) is a congestion avoidance mechanism used in network routers to control…

Q: 1)What does the Empirical Rule say? 2). Can you use the Empirical Rule for ALL probabilities in…

A: The Empirical Rule, also known as the 68-95-99.7 rule, is a statistical guideline used to understand…

Q: Problem#2 23. Reading Rates The reading speed of second grade students is approximately normal, with…

A: For statistical computation and graphics, many people use the free and open-source R programming…

Q: You run a logistic regression model in R using the glm() function. The dependent variable is the…

A: Introduction : This question type of objective (logistic regression) which of the equation of a…

Q: You roll two ordinary, 6-sided dice. What is the expectation of the sum of the two values showing?…

A: In probability theory, the expectation,often denoted as E[X], of a random variable X is a…

Q: Suppose that a factory has two machines, Machine A and Machine B, both producing Phone touch…

A: Bayes' Theorem

Q: Three coins are tossed at the same time, each equally likely to come up heads or tails. What is…

A: We are given a probability question in which 3 coins are tossed and we have to find out the…

Q: 10. What is the probability that in a random group of 10 people at least two have the same birthday?

A: As per guideline, one question is answered at a time. Kindly, post remaining question separately.

Q: A confusion matrix based on one particular cut-off probability can determine the entire ROC curve.…

A: Given that a confusion matrix based on one particular cut-off probability can determine the entire…

Q: Consider a die in which the outcome 1 is twice as likely to occur as any other outcome. Let X be the…

A: Define X = 1 if die is 3, otherwise X = 0. X takes values in {0, 1} and has distribution: Pr(X = 0)…

Q: A student goes to the school canteen. The probability that they get fish is 0.2, get chips is 0.5,…

A: Given probability that the student gets fish P(A) =0.2 probability that the student gets chips P(B)…

Q: If they use a Wald chi square test to assess whether age (entered as a continuous variable in the…

A: The Wald chi-squared test is a parametric statistical measure used to determine whether or not a set…

Q: For males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks…

A: for males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks…

Q: Students graduating Atlantis University are being administered a test to check their general…

A: Answer is given below-

Q: A study shows that the correlation between head circumference and IQ score is 0.50. If a…

A: Answer is given below

Q: Suppose that the number of years that a used car will run before a major breakdown is exponentially…

A: Exponential distribution describes wait time between any two Poisson occurrences. If T is the time…

Q: 1. Suppose that a set of samples x1, x2, ..., xn, all real numbers, are drawn i.i.d. from the same…

A: Note: Answering the first question as per the guidelines. Input : Set of samples: x1,x2, ...., xn…

Q: 5. Let X be the random variable that represents the number of hearts in a 4 card hand drawn from a…

A: Introduction : There are 13 hearts and 39 non-heart cards in a deck of 52 cards. Based on the…

Concept explainers

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.

Question

When correctly adjusted, a machine that makes widgets operates with a 5% defective rate.
However, there is a 10% chance that a disgruntled employee shakes the machine, in which
case the defective rate jumps up to 30%.
Q4

(b)
A random sample of 20 widgets was examined, 4 widgets out of these 20 are
found to be defective. What is the probability that the machine had been shaken?
Hint: What is the probability of finding 4 defective widgets in a sample of 20, if
(given) the machine has been shaken?
What is the probability of finding 4 defective widgets in a sample of 20, if (given)
the machine has not been shaken?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 33 investors found that 21 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. ... Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Họ: H;: (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.) State the conclusion at the 0.05 level of significance. The p-value is the chosen value of a, so the null hypothesis. There is evidence to conclude that the proportion of investors who are risk-averse is not at least 0.6.
Conditional probability
If the probability of an event is 62%, what is the probability of its complement?
Solve In R programmning language: Calculate the probability for each of the following events: (a) A standard normally distributed variable is less than -2.5. (b) A normally distributed variable with mean 35 and standard deviation 6 is larger than 42 but less than 45. (c) A normally distributed variable with mean 35 and standard deviation 6 is larger than 40 but less than 41. (d) X < 0.9 when X has the standard uniform distribution (min=0, max=1). (e) 1 < X < 3 in the exp distribution with rate λ = 2.
A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded that: If the handyman is lying, then so is the butler. The gardener and the handyman cannot both be telling the truth. The cook and the gardener are not both lying. The handyman is telling the truth only if the cook is lying. For each of the four witnesses, can the detective determine whether that person is telling the truth or lying? Use the truth table to explain your reasoning (Give the full truth table). Please use the following notations in your reasoning – B: The butler is telling the truth. C: The cooking is telling the truth. G: The gardener is telling the truth. H: The handyman is telling the truth.
consider a population where 30% is in poverty. If you randomly sampled 10 people, how many would you expect to be in poverty?
Explain how we perform maximum likelihood
Step 4: Hypothesis Test for the Population Mean (II) A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that your team scored at an average of less than 110 points in the years 2013-2015. Test this claim at a 1% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown. You are to write this code block yourself. Use Step 3 to help you write this code block. Here is some information that will help you write this code block. Reach out to your instructor if you need help. 1. The dataframe for your team is called your_team_df. 2. The variable 'pts' represents the points scored by your team. 3. Calculate and print the mean points scored by your team during the years you picked. 4. Identify the mean score under the null hypothesis. You only have to identify this value and do not have to print it. (Hint: this is given in the problem statement) Assuming the…
Suppose you have to select one project partner from a set of four classmates, who have different GPAs. Assume you do not know any student’s GPA in advance but can get to know it after you have picked a student from that group (a) Suppose you pick one of the four students at random and accept that student as your project partner. What is the probability that your partner is the one with the highest GPA? (b) Suppose you decide to reject the first student and to then accept the next student if and only if that student has a higher GPA. Note that you MUST have a partner, so if the first three are rejected by you, then you have to accept the fourth student. What is the probability that your partner will be the one with the highest GPA.