Mopeds (small motorcycles with an engine capacity below 50 cm³) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.6 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped. USE SALT (a) What is the probability that maximum speed is at most 49 km/h? (Round your answer to four decimal places.) (b) What is the probability that maximum speed is at least 47 km/h? (Round your answer to four decimal places.) (c) What is the probability that maximum speed differs from the mean value by almost 2.5 standard deviations? (Round your answer to four decimal places.)

Q: 4. The ungrouped data below shows the different temperatures measured during an experiment.…

A: Given, The ungrouped data of different temperature's measured in an experiment is provided. Data:…

Q: The binomial distribution for p = 0.20 and n 100 has a standard deviation of a = 4. True O False

A: It is given that X follows Binomial(n = 100, p = 0.20)

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A: Use EXCEL to determine the regression equation. EXCEL procedure: Go to EXCEL Go to Data>Data…

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A: year x 1951 13 1952 23 1953 21 1954 27 1955 37 1956 52 1957 34 1958 42 1959 31…

Q: An article proposes the Weibull distribution with a = 1.807 and ß = 0.803 as a model for 1-hour…

A: Please note that as per our guidelines if multiple sub parts are there in a question we can answer…

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A: The ternary digit is either 0 or 1 or 2.

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8, 10 and P 0.17.0.23,…

A: The probability distribution is given by Y 2 4 6 8 10 P(y) 0.17 0.23 0.2 0.3 0.1

Q: Use the basic probability principle to solve the following problem. Express each probability as a…

A: Given that  A 12 sided die is rolled  Sample space = S = ( 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 )…

Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…

A:

Q: 4. For each of the following distributions, find the value of D for the given value of If you know…

A:

Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5

A: We have to calculate the mean and SD of given observations. The observations are  X : 1, 2, 3, 4, 5

Q: p(a)= .21, p(b)=.43, and event a and b are independent. what is p(a or b)?

A: given data P(A) = 0.21 P(B) = 0.43 independent events P(A∪B) = ?

Q: Ten people are gathered to form a committee of size 4. If there are 6 men and 4 women in the group…

A: Given: n(total) = 10 n(women) = 4 n(men) = 6 n(chosen) = 4 n(women chosen) = 3

Q: Letters of the word BOEREWORS are randomly rearranged to form 9 letter words. What is the…

A: Note: As per guidelines we will solve the first question only, please repost other questions for…

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours…

A:

Q: What would be the probability of an event 'G' if H denotes its complement, according to ?the axioms…

A: Given: G =H denotes its compliment Compliment rule : P(Ac)=1-P(A) Here A is an event.  Ac =…

Q: How Probability and decision analysis can help us benefit in our future

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Q: A multiple choice exam has 3 choices for each question. A student has studied enough so that the…

A: given data  multiple choice exam  3 choices of each questions  event :  A: know the answer P(A) =0.5…

Q: f (x) = kx^2, k constant, -1 =< x =< 1. f (x) is a p.d.f. the value of k= 1? false b. true a.

A: given function  f(x)  = kx2   ;(-1⩽x⩽1) f(x) is valid pdf is k = ?

Q: Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the oth…

A: Given data:   D Dc Row Total Pos 53 4 57 Neg 2 455 457 Column Total 55 459 514

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A:

Q: 7. There are four QA inspectors in a packaging factory. Each one is supposed to stamp the date of…

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Q: Let A and B be events with P(A) = 3/10, P(B) = 4/10), and P(AUB) = 6/10. (a) Compute P(AC). (b)…

A: From the provided information, P(A) = 3/10, P(B) = 4/10, and P(A U B) = 6/10

Q: 4. Jack's sister ordered 30 bottles of wine for her birthday party. A covid lock-down caused her to…

A: Given information: Total no. of Wine bottles (n)=30Bottles to be selected…

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A: given data,box certain,7 - 40W lightbulbs6 - 60W lightbulbs5 - 75W lightbulbs18    total…

Q: don't understand how you did this answere? Ppiranha=npiranhanTotal=724=

A:

Q: In a gym class of thirty students, students can participate in their choice of either soccer or…

A: Given Information: There are 30 students in a gym class. Two-thirds chose basketball i.e.,…

Q: Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each…

A: Here in this question it given that we have an urn containing 7 red and 3 blue balls. You draw three…

Q: Number of circular permutations of different .!things taken all at a time is (n-1) True .a False .b

A: nPr=n!/[r!(n-r)!] r!=r(r-1)x..x3x2x1

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A:

Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…

A: royal flush: Ace, King, Queen, Jack, and 10 of a same suit there are 4 suits in 52 card deck so…

Q: What is the standard deviation of a binomial distribution with 50 trials and p = 0.4?

A:

Q: 6. A certain company is ordering small parts shipped in large bins from two different suppliers:…

A: Given information: Pdefective|A=2.5%=0.025Pdefective|B=5%=0.05PA=3PBFrom the…

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Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: According to our guidelines we can answer only three subparts and rest can be reposted. Given that,…

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Q: 1. Let A and B be two events such that Ac B, then P(AB)= 1,2, 3 Q1. (22 points)] This question…

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: Let X denote the distance (m) that an animal moves from its birth site to the first territorial…

A: It is given that X has an exponential distribution with parameter λ=0.01337.

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A: A probability tree diagram is a tool to represent the outcomes of an event visually. It helps…

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 965…

A:

Q: a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate…

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A: Given A pair of dice is rolled

Q: The mean weight of 15-year-old males is 142 pounds, and the standard deviation is 12.3 pounds. Find…

A: 1) We have given that Mean(µ) = 142Standard deviations (σ) = 12.3X ~ N (µ, σ )= N(142 ,12.3)

Q: construct the probability distribution for the random variable X which pertains to the number of…

A: From the information, The two coins are tossed The sample space for two coins is,

Q: Ice Cream Sundaes 1. How many three-scoop sundae possibilities would there be if we chose out of 8…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted  Given that…

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.835 hours…

A: