Probability Question
Q: Suppose that the probability density function of the length of computer cables is f (x) = 2x/(32) fo...
A: Let X be the continuous random variable which denotes the length of the computer cables.The probabil...
Q: If A and B are independent events, show that A' and B are also independent. [Hint: First estabblish ...
A: Independent events:If the events A and B are said to be independent then P (A and B) = P (A) × P (B)...
Q: If A and B are events such that P(A)equals=0.60 and P(A∪B)equals=0.70, find P(B) when (a) A an...
A: (a)If events A and B are mutually exclusive events, then, P (A or B) = P(A)+ P(B).Or, P(B) = P (A or...
Q: Annual salaries in a large organization can be modeled as a lognormal variable with log (to the base...
A: Lognormal distribution:Lognormal distribution is a continuous probability distribution, in which the...
Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the ind...
A: Consider that X has normal distribution with specified mean and standard deviation:
Q: Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy ...
A: According to the given question, Porphyrin is a pigment in blood protoplasm and other body fluids th...
Q: Express the number 0.000727= (Use scientific notation. Use the multiplication symbol in the math pa...
A: According to scientific notation any number is written from 1 to 10 and exponent to the base 10 is e...
Q: The table shows the leading causes of death in a certain country in a recent year. The population of...
A: To estimate the number of deaths due to cancer, as expected from the given data
Q: 1. Two businessmen agree to meet for lunch between 12 and 1. They are not surethey will be able to m...
A: Hi! You seem to have uploaded many questions at a time. So, only first three questions are being ans...
Q: Samples of rejuvenated mitochondria are mutated (defective) with a probability 0.17. Find the probab...
A: Probability of mutated mitochondria = 0.17It means that if we take a sample of mitochondria there is...
Q: Consider a series of events. (a) How does a tree diagram help you list all the possible outcomes of ...
A: (a) Tree diagram:Tree diagrams is used to show all the possible outcomes of an event. Each branch in...
Q: One deck of card, u have total 330 chips, total 75 hands per game, u have to bet every hand with at ...
A: We are given that you have total 330 chips and total 75 hands per game. You have to bet every hand w...
Q: Let A and B be events such that Pr[A] =0.370.37, Pr[B] =0.630.63, and Pr[A ∩ B] =0.240.24. Fin...
A: Required to calculate the conditional probability that A occurs given B has occured, P(A|B)
Q: Find the median for the data items in the given frequency distribution Score, X Frequency, f 6 4 6 2...
A: First, we will find the sum of the given frequency and then will check at which position the score w...
Q: The pattern 1, 8, 27, 64, 125, ... is a cubic pattern named because 1equals=1times•1times•1 or 1 ...
A: The given series is 1, 8, 27, 64, 125, … are the cubed values of 1, 2, 3, 4, 5, … respectively.
Q: 12. Suppose the pdf is given by f(x) Cx2 for 1 < I < 2, and zero otherwise. (a) Find the value of C....
A: The total probability under a probability density curve is 1. Integrating f(x) from 1 to 2 and equat...
Q: An experiment consists of casting a pair of fair six sided dice (one green and one red) and observin...
A: The total number of outcome after rolling a pair of fair six sided dice is 36. Consider E be the eve...
Q: An opinion poll asks a simple random sample of 1500 adults how they view the state of the economy....
A: According to the provided information, a survey is done on a random sample (n) of 1500 adults and we...
Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways ...
A: Combination Rule:A combination is a selection of all or part of a set of objects, without regard to ...
Q: ou toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there a...
A: Tossing a pair of dice:The possible outcomes for tossing a pair of dice is as follows:
Q: An urn contains 4 white balls and 6 red balls. A second urn contains 8 white balls and 2 red balls. ...
A: Introduction:Let A be the event that the first urn is selected; so, AC denotes that the second urn i...
Q: The probability density function of the time to failure of an electronic component in a copier (in h...
A: Computing the probability that a component lasts more than 1,156 hours before failure:Define the ran...
Q: A basket contains 3 white, 3 yellow, and 4 black transistors. If a transistor is randomly picked, fi...
A: Number of white transistors in basket = 3Number of yellow transistors in basket = 3Number of black t...
Q: A random customer buys either brand A, brand B, or brand C with probabilities 0.25, 0.30, 0.35. Ther...
A: a. The probability that there will be at least one purchase for each of the brands, A, B and C:The g...
Q: Can someone help me solve these please ?
A: Probability:The formula for probability of an event is,
Q: The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each clu...
A: Introduction:The first school has 8 players in their chess club, out of which, 4 are to be selected....
Q: A certain virus affects 0.1% of the population. A test used to detect the virus in a person is posit...
A: According to the provided data, certain probabilities are,
Q: An insurance company sells a $4,500, eight-year term life insurance policy to an individual for $335...
A:
Q: 14. Step 1 Global warming may be due to increased concentrations of greenhouse gases such as carbon ...
A: As the regression line for predicting carbon dioxide from time is given by:y = 311.662+1.43866 xWher...
Q: In how many ways can first and second prize be awarded in contest with 100 people, assuming that eac...
A: There are 100 students in the contest.
Q: A large corporation has found that it has “outgrown” its current code system for routing inter offic...
A: The problem is concerned with counting the total number of codes available in the current (old) and ...
Q: Assume that the box contains balls numbered from 1 through 26, and that 3 are selected. A random var...
A: As per the question, the number can be either odd or even and 3 are selectedSo total possible combin...
Q: If you draw five cards at random from a standard deck of 52 cards, what is the probability that ther...
A: Consider the provided problem: it is given that 5 cards are drawn from the deck of 52 cardsThe total...
Q: Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in c...
A: According to the question, the inclusions follow Poisson distribution which is given by:
Q: A classroom contains 9 students. A student committee of 3 (president, vice-president, and treasurer)...
A: Total number of students = 9Student committee of three people with designations President, Vice-pres...
Q: Glven P (A)-0.56, P (B) - 0.75, P(C) = 0.12 and that events A, B, and C are independent, what is P (...
A: Independent events:If the probability of occurring of one event does not affect the probability of o...
Q: If you roll a four sided die and a six sided dice ( numbered 1,2,3,4) what is the probability of rol...
A: Given a four sided dice which have numbers 1,2,3,4 and six sided dice have numbers 1,2,3,4,5,6 on it...
Q: Define confidence interval and degree of confidence. Provide at least one example of a confidence in...
A: Confidence interval can be defined as an interval that shows the true population parameter lies with...
Q: The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00...
A: Given info:P(22 year old female will die within one year) = 0.00044.Insurance company sells a one-ye...
Q: Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups...
A: a)a) As per the question, no of consumers who are in the age of 18-24 years of age who dislike crunc...
Q: Suppose that 2 fair dice are rolled and their sum is noted. What is the expected sum? Suppose you ro...
A: As you have posted 3 different questions, we are answering the first question. In case you require t...
Q: The credit department of Lions department store in California reported that 22% of their cells are c...
A: The probability that she paid cash is obtained below:Define the event A1 and A2 as form a partition ...
Q: for 1 die, find: (a) P (roll a "7") (b) P (roll a "multiple of 3")
A: a.finding the probability that the die comes up value 7:It is given that die is rolled one time.When...
Q: Can someone help me with these questions? Attached you will find the questions
A: Given DataProbability that person is smoker = 0.20Probability that person is smoker and develop emph...
Q: This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10, w...
A: To find the fourth number x from {0,1,2,...,10} so that the standard deviation of the numbers 1,1,1 ...
Q: Please, help me with a step by step solutions to question and I will be very grateful to you. I don'...
A: As you have posted 2 different questions, we are answering the first question. In case you require...
Q: Which of the following numbers are inside the event ?=[2,4]⋃[5,8]E=[2,4]⋃[5,8]? (Select all that app...
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...
Q: A computer system uses passwords that contain exactly 4 characters, and each character is 1 of the 2...
A: Let event A represents the password that consists of only letters.The password consists of 4 charact...
Q: Working on Set operations and Ven diagram Help needed to understand this problem: If n(A)=28, n(B)=2...
A: To determine the number of elements in the set A' union B using the given information.
Q: On average, a house has 2 repairs per year. a) What is the probability that in the next 3 years, the...
A: a)Average repairs per year is 2.So, the average repairs in the next 3 years is,
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