A stick of length 1 is broken at a point chosen uniformly along its length. One piece is used as the length of a rectangle, and the other is used as the width. Find the mean area of a rectangle formed in this way.

Q: A certain manufacturer makes 400W light bulbs. Assume that these light bulbs have lifetimes that are…

A: Here the lifetime of light bulbs follows Normal distribution with mean=430 and SD=75. We need…

Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: The distribition function is defined as F(x) = P(X ≤ x)  Let p be the probability that a student…

Q: Suppose that the amount of time (in hours) that it takes for a phone to fully charge has a normal…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

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Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: The distribution function is defined as F(x) = P(X ≤ x) Let p be the probability that a student…

Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: The distribution function is defined as F(x) = P(X ≤ x) Let p be the probability that a student…

Q: During the Saint Louis University Foundation Day, the Director of Physical Education recorded the…

A: For male students who showed average participation : Sample Mean 1 (Xˉ1)(\bar X_1)  = 70.370.3…

Q: The number of times a toggle switch made by the Acme company can be switched between the on and off…

A: They want to make switched that last longer than previous.

Q: Due to rounding, the total of the cumulative relative frequencies in the cumulative relative…

A: We have given that an statement about to cumulative relative frequency. We need to find out that the…

Q: books in the library are found to have average lentgh of 350 pages and a standard divation of…

A: Let "X" be the average length of the book.

Q: Suppose the length of 4cm wire cable produced by a machine follows a normal istribution with a mean…

A: 7. Given that the length of wire cable produced by a machine follows a normal distribution with a…

Q: The manager at a local movie theatre has collected data for a long period of time and has concluded…

A: For a continuous distribution, the probability between an interval equals to the area under the…

Q: The mean age of a group of teachers representing a school at a conference is 40 years old. If the…

A:

Q: If a wildlife service wishes to estimate the mean number of days of hunting per hunter for all…

A: Following information is given. Confidence level is 96% Error bound = 2 population standard…

Q: An improved filling machine will always be less incosistent, in the amount in each box is still…

A: Z-score:Z-scores are a used to compare results from a normal population. The formula for z-score is,

Q: Suppose that the speeds of cars travelling on California freeways are normally distributed with a…

A: Given ,          Mean μ=60 mileshourLet 'X' be the speed of carsgiven probability is pX>75=0.02

Q: Suppose Golden and Blacky are both on guard, what is the average number of strangers to hear the 1st…

A: Here define probability  Probability of golden bark = p1 Probability of blacky bark = p2

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Q: Find out the mean number of breakdowns per week for this machine.

A: here give distribution of x  = no of breakdown of machine in week

Q: hours. If exactly 98% of the bulbs die before 925 hours, find the mean lifet

A: The z score is calculated as: z=x-μσ The value of z at 98% is 2.05. (from z table).

Q: The mean weight of 500 male students in a certain college is 151 Ibs. and the standard deviation is…

A:

Q: The number of times a toggle switch made by the Acme company can be switched between the on and off…

A: Correct answer is (C)

Q: From a sample with n=20, the mean number of televisions per household is 4 with a standard deviation…

A: From a sample with n=20, the mean number of televisions per household is 4 with a standard deviation…

Q: Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 74…

A: Let , X be the resting pulse rate among healthy adults Mean(μ) = 74 beats per minute Standard…

Q: A certain manufacturer makes 400W light bulbs. Assume that these light bulbs have lifetimes that are…

A:

Q: The estimate of the standard error of the mean is computed as?

A:

Q: Calculate the mean of the distribution. In

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  Here given discrete probability…

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A: Given data,μ=15σ=4P(X<x)=0.975

Q: Find the measure: mRT

A: The measure of the arc AB subtended by an angle c with its vertex on the circumference of the circle…

Q: Find the mean. Rounding rule for the mean: round to one more decimal place than the data as needed.…

A: Given: Total compensation, X 19.3 19.7 19.8 20 20.1 21.6 22.9 23.2 23.7 24…

Q: IF the mean of five observations is 8 and devietions of these observations about their mean ave…

A: Given, mean of observations x¯ = 8 deviations of there observations about their mean are  -2, 3, -5,…

Q: The sampling distribution of the mean will have the same mean as the original population from which…

A:

Q: The mean of 15 items was found to be 45. On rechecking, it was found that two items were wrongly…

A: Given: Wrong mean = 45 Number of observations = 15 Incorrect values = 12, 18 Correct values = 32, 28

Q: What measure of central tendency is calculated by adding all the values and dividing the

A: Common measures of central tendency are 1)Mean  2)Medin 3) mode

Q: For SRSWOR (N,n), find the ratio estimator of population mean. Show that the estimator is biased

A: Given information: The population size is N. The sample size is n. The sample is selected using…

Q: A sample of 230 items from lot A contains 4 defective items, and a sample of 300 items from lot B is…

A:

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 271 days and a…

A:

Q: Dr. Xyz claims that the average salary of workers in Jones is P35,000. A random sample of 100…

A: Given: Mean to be tested, μ=35000Sample size, n=100Sample mean, x¯=40000

Q: When solar panels rated at 270 watts of power are manufactured, the power of the panels is not…

A: It is given that the distribution is normally distributed with a mean of 270 watts and a standard…

Q: cars with speeds exceeding 80 miles/hour. The records show that exactly 5% of the speeds exceed this…

A: Let X the random variable such that speeds of cars travelling on California freeways. It is given…

Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: The cumulative distribution function defined as F(x) = P(X ≤ x) Let Y denote the number of students,…

Q: The masses of 250 students are normally distributed with mean 65kg and standard deviation 4kg. Then…

A:

Q: If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how…

A:

Q: faculty cars have ages with a mean of 6 years and evel to test the claim that student cars are older…

A: Let X1 be the student car's age. x¯1: Sample means of student cars age= 7.2 s1 : Sample standard…

Q: Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 70…

A: Given that, Mean = 70 Standard deviation = 12

Q: If the masses of 300 students are normally distributed with mean 68 kgs and standard deviation 3…

A: Given data The masses of 300 students are normally distributed with mean 68 kgs and standard…

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: Solution Ans is True

Q: The mean height of the starting players in a basketball means is 1.82 m. During a time has a player…

A: In one basketball team there are 5 players, then total height of the all players in the team =…

Q: Suppose that scores on a particular test are normally distributed with a mean of minimum score…

A: Given data,Mean μ=120sd    σ=19What is the min score needed to be in top 15%?

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…

A: From the given information,   Mean = 74 Standard deviation = 12.5