A sample of 5 parts is drawn without replacement from a total population of 13 parts. Determine the probability of getting exactly 3 defective parts. The population is known to have 6 defective parts

Q: manufacturing machine has a 10% defect rate if 8 items are chosen at a random what is the…

A: It is given that  A manufacturing machine has a 10% defect rate i.e. probability that a machine has…

Q: Two test parts are mixed in with a box of 25 good parts. Probability of randomly selecting one of…

A: We have given a box of 25 good parts.Two test parts mixed with 25 good parts inside the boxSo,Total…

Q: We asked 6 students how many times they rebooted their computers last week. . There were 4 Mac users…

A:

Q: If a manufacturing machine has a 7% defect rate and 6 items are chosen randomly what is the…

A: Defect rate of the manufacturing machine is 7%. The items taken for sample is 6.

Q: etermine the probability of having 2 girls and 3 boys in a 5​-child family assuming boys and girls…

A: Here, Number of boys=3 Number of girls=2 Total children n=5  assuming boys and girls are equally…

Q: Calculate the probability for the most probable macrostate for eight molecules that are in an…

A: Lets consider there are x particles in first half and y particle in other half. Total particles = 8

Q: A box of 50 diodes contains 10 defective diodes. Suppose 10 diodes are selected at random and…

A: There are 50 diodes and 10 are defective in them and 10 are selected for inspection, let X be the…

Q: Randomly select and test 56 batteries and determine whether each is within specifications. The…

A: From the provided information, Sample size (n) = 56 A shipment contains 3000 batteries and 1% of…

Q: A student organization committee consisting of 7 people to be formed by selecting from a group of 26…

A: We have to find given probability.

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: A 4-sided die is fair and the sides are numbered 1, 2, 3, 10.  This die is rolled twice and the…

A: The four sided die has numbers 1, 2, 3, 10.

Q: Assume that when 3 adults with smartphones are randomly selected, 46% use them in meetings or…

A:

Q: A lock consists of all 3 dials, where each dial has 4 letters. What is the probability of guessing…

A:

Q: Lots of 40 components each are deemed unacceptable if they contain 3 or more defectives. The…

A: Given ,    Total no of components=40    no of defectives in the entire lot=3   So , no of non…

Q: If a manufacturing machine gas a 5% defect rate and 9 items are chosen randomly what is the…

A: We have to use Binomial distribution. If x follows Binomial distribution with parameter n and p then…

Q: A production process that is binomially distributed produces 90% non-defective parts. A sample of 10…

A: Given that, Sample size of parts selected for production process n=10 Probability of producing…

Q: Find the expected number of girls in a family of 3 children.

A: Let X : Number of girls in a family of three children. We have to find the expected value i.e. EX…

Q: Assume that when adults with smartphones are randomly selected, 56 % use them in class or meetings.…

A: Given problem Given that   Assume that when adults with smartphones are randomly selected , 56%…

Q: We know that certain bacteria are present in water in a proportion of 3 bacteria per cm3 . What is…

A: Given:. This means that on average, we expect to find 3 bacteria in each cubic centimeter of…

Q: A production process that is binomially distributed produces 90% non-defective parts. A sample of 10…

A: Given: Sample size (n) = 10 p (non-defective parts) = 1- p (defective parts)  p (non-defective…

Q: A statistics class has 200 students. Each student has as standard deck of 52 cards and each of them…

A: From the given information, there are 200 students. Each student has as standard deck of 52 cards…

Q: coin is flipped three times. Y is a random variable that assigns 3 times the number of heads flipped…

A: We want to find numbers is assigned to HHT

Q: The probability that a person in the United States has type B+ blood is 13%. Five unrelated people…

A:

Q: The unemployment rate in a city is 13%. If 6 people from the city are sampled at random, find the…

A:

Q: Time magazine reported that when 19,218 gas masks from branches of the military were tested, it was…

A: The number of masks are tested is 19,218.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.