A professor had students keep track of their social interactions for a week. The number of social interactions over the week is shown in the following grouped frequency distribution. What is the class​ width?    # of social interactions Frequencies 15-24 5 25-34 17 35-44 18 45-54 13 55-64 20 65-74 8 75-84 3 85-94 7 95-104 1 105-114 1The class width is?

Q: If n=26, ¯xx¯(x-bar)=31, and s=8, find the margin of error at a 99% confidence level Give your…

A: Given  n=26, ¯xx¯(x-bar)=31, and s=8,

Q: The numbers of on-time flights and the number of delayed or cancelled flights for four major…

A: Here we have given the table that summarizes, The numbers of on-time flights and the number of…

Q: Suppose that a family has 8 children. Also, suppose that the probability of having a girl (based on…

A: given data P(girl) = P(boy) = 12sample size (n) = 8x = no. of girls in childrenP(x=X) =nCxpxq(n-x)…

Q: It is the beginning of September and you have been offered the following deal to go heli-skiing. If…

A: From given data we have : Probability = 30% Cost of vacation = $4600 Cost of capital = 11% per year…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: 4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls…

A: Boys girls Mr. Fastwrong's estimation 4 0  1/5 3 1  1/5 2 2  1/5 1 3  1/5 0 4  1/5

Q: Suppose that if you got in a collision, your claim amount would be around $25,000. You go to an…

A: Introduction: Denote the random variable X as the amount gained by the insurance company in a…

Q: The velocity of a particle in a gas is a random variable X with probability distribution fx(x) =…

A:

Q: 1. The following probability distribution of X is given in the following table X 2 3 5 6 7 8 p(x)…

A: Solution-: We have given the following probability distribution table: X 2 3 5 6 7 8 P(X) 1/6…

Q: 7. You are on an island inhabited by three types of people: those who only tell the truth (knights),…

A:

Q: A car wash service contains two stages: (1) washing and (2) detailing. Each stage has two…

A: Given, a car wash service contains two stages: (1) washing and (2) detailing. Each stage has two…

Q: In Exercises 29-34 the mean and standard deviation of a nor- mal variable X are given. Find the…

A:

Q: Suppose that three fair dice are rolled. a)  What is the probability of not getting at least one…

A: If a fair die is rolled, then the number of possible outcomes is 6. So, if three fair dice are…

Q: Let X Uniform(0,л/2). Find the density function of Y = sin(X).

A: Solution

Q: A = { 3, 0, 1 } B = { y, x }  what is the cardinality of A x P(B) ?

A: Given that, A = {3,0,1}  B ={ y , x }  Power set of B = {{},{x},{y},{x,y}}  Generally cardinality is…

Q: A special sensor is used to measure speeds of cars on a highway. The speeds are normally distributed…

A: Given information- Population Mean µ = 90 km/hr Standard deviation (σ) = 10 km/hr Let, X be the…

Q: a shipment contains 14 igneous, 12 sedimentary, and 12 metamorphic rocks. if 8 rocks are selected at…

A: Given  38rocks=14(igneous)+12(sedimentary)+12(metamorphic)

Q: Network breakdowns are unexpected rare events that occur every 3 weeks, on the average. Compute the…

A: Given For 15 week lamda=15/3=5

Q: 3. Let y be distributed as N3 (μ, E) where (-²¹). 2 1 0 1 1 1 4. μ = Σ =|1 0 Find the distribution…

A: Objective of this question is that, find the distribution of Z , where Z given below Z=2Y1+3Y2-Y3

Q: A person must pay $5 to play a certain game at the casino. Each player has a probability of 0.12 of…

A: From the provided information, The probability distribution table can be constructed as:…

Q: A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: Given mean is 44 and standard deviation is 9.

Q: The mean water temperature downstream from a power plant cooling tower discharge pipe should be no…

A:

Q: Shares of company A are sold at $20 per share. Shares of company B are sold at $50 per share.…

A:

Q: For the experiment described below, let x determine a random variable, and use your knowledge of…

A:

Q: Provide an appropriate answer. Use the following frequency distribution to determine the modal class…

A: 42-48

Q: A game that draws 4 digits from 0-9 from four separate machines. What is the probability of winning…

A: Given: A game draws 4 digits from 0-9 from four separate machines.     Probability is the number of…

Q: pair of dice is rolled. What are the odds of rolling a sum of 10 or a sum of 11? the odds of…

A: Sample space of pair dice.  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5)…

Q: Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years and…

A: From the provided information, Mean (µ) = 36.2 Standard deviation (σ) = 3.7 X~N (36.2, 3.7)

Q: A legislative committee consists of 7 democrats and 8 republicans. A delegation of 3 is to be…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: A particular system in a space vehicle must work properly in order for it to gain reentry into the…

A: To find: What is the probability that the system will fail?

Q: Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0…

A: Given information,  All area codes has a 0 or a 1 ad the middle digit and the first digit could not…

Q: Determine whether the argument is valid or invalid. You may compare the argument to a standard form…

A:

Q: The types of raw materials used to construct stone tools found at an archaeological site are shown…

A: The given sample of 1486 stone tools were obtained from a current excavation site.

Q: The probability of a successful SSD read-write during shock tests of an SSD storage product is 0.8.…

A: Let X denotes the number of trials required to get the first successful SSD during shock tests.  The…

Q: 6 Analyse the following classic Bayes net (See Figure 4). Compute P(BIC) and P(CIB). Take note that…

A: Given the classic Bayes net as

Q: The masses, in kg, of some bags on an airplane are shown below 7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8,…

A: Solution:- from the given information given data: 7,6.2,6.1,6.8,6.1,6.2,6.8,5.8,6.2.6.3 Arrange the…

Q: Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval…

A: We have to find confidence interval for population proportion (p)  Formula :  (p^ - zα/2p^(1-p^)n)…

Q: According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework…

A:

Q: 4.93 Give a simple method to simulate from the gamma distribution with parameters a and when the…

A: Consider X1 and X2 the two independent exponential random variables with parameter λ. Thus:…

Q: I need four decimal places

A: Here, we have the probability of exactly 6 are sedimentary upto 3 decimal places.

Q: Hank is holding a red lollipop that is 20% to be cherry, 30% to be strawberry and 50% to be…

A: Define the events, A : The Lollipop is cherry B : The Lollipop is strawberry C : The Lollipop is…

Q: 4. Suppose that the events A and B are mutually exclusive with P(A) Let A' denote the complement of…

A: given data mutually exclusive eventsP(A) = 0.4P(B) = 0.4P(A'∩B) = ?

Q: 4.75 Use the central limit theorem to verify the following results. (a) The probability of getting r…

A: 4.75. a) In the given situation, 6r fair dice are thrown. When throwing a dice, the probability of…

Q: 5. Imagine playing a game for which the exact odds are known. You have two options. With Option A,…

A:

Q: A certain disease has an incidence rate of 0.5%. If the false negative rate is 4% and the false…

A: Given certain disease has an incidence rate of 0.5%. If the false negative rate is 4% the false…

Q: The probability that a person who identifies as male will be color-blind is 0.036. Find the…

A: given data  n = 48 peoples P(color blind) = p = 0.036 x = no. of people hat are color blind P(x=X) =…

Q: On the fifth day of Christmas, my true love gave to me: Five Golden Rings. If the weight of a golden…

A: On the fifth day of Christmas, my true love gave to me: Five Golden Rings. The weight of a golden…

Q: Question 3 Among employees of a certain firm, 61% know Java, 58% know Python, and 47% know both…

A: Question 3 Consider the events, J : Employees know java P : Employees know python  From the given…

Q: A committee of 3 members is selected from a club made up of 6 junior members and 24 senior members.…

A: given data, 06-junior24- senior30- total members a commitee of 3 members is selected from a club…

Q: Sales 11 10+ 9- 8- 7+ 6+ 5+ 4+ 3 2+ 1+ Mon 1.l Wed Thur Q Tue The plot above shows the number of…

A: The bar graph for the number of computers sold on the first four days is given.