The length, in feet, of a certain structural steel beam is normally distributed with a mean of 10 feet and a standard deviation of 5 inches. Quality requirements demand a beam to be rejected if the length is more than 12.5 inches different from the mean. What percentage of the beams will be rejected? (Round your answer to two decimal places.)

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A: here given data that  If A and B are mutually exclusive, then __we have to find out the correct…

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A:

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A: Given,A random variable X~Exponential(θ=12.5)f(x)=12.5e-x2.5         ;  x≥0

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A: given data  bell shaped distribution μ = 13 hoursσ = 3 hours99.7% ofstudents have study hours…

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A: It is given that the probability density function of X is f(x; θ) = { (θ + 1)•xθ,  if 0 < x <…

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A: The population has 3140 inventory items valued at $193255,000. The tolerable misstatement is…

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A:

Q: From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A…

A: Solution: From the given information,

Q: the past year. An interval estimate of the proportion p with a margin of error of 0.055 and 98%…

A: It is given that  Margin of error, E = 0.055 Confidence level = 98% = 0.98

Q: 3. A group of people were asked if they had run a red light in the last year. 150 responded “yes”,…

A: Given,no.of people had run ared light in the last year=150no.of people responded "no" =185Total…

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A: A fair six-sided die has following outcomes: 1,2,3,4,5,6 If the die shows a non-prime number, you do…

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A: Given,Total no.of people=7

Q: Problem 3 i.e. Let W, be a negative-binomial variable with parameter p € (0,1), {a-p P{W, = k} = p'…

A: We have Wr negative binomial random variable with parameter r and p and PMF given by…

Q: Your last pdf for this week is f(2)=z³ for 2 < z ≤ 3. (a) Find the cdf of Z. You don't have to give…

A: f(z)=4/64z3 ; 2&lt;Z≤3

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A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.

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A:

Q: For pe (0, 1), let X - Geom(p), i.e. P(X=n} = (1-p)"-¹p for n € N.. Show that EX=. Hint: Use the…

A: Given information: PX=n=1-pn-1p, n∈N Formula for E(X): EX=∑nnPX=n

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A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…

Q: Suppose that X has a discrete distribution with the following cumulative distribution function 0.35…

A:

Q: Consider the random Variable X with Probability density f(x = 1 3x² 2 for -1<x<l elsewhere Find the…

A: A random variable X has a PDF f(x) given by:- fx=3x22       -1&lt;x&lt;10             elsewhere

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A: Given that, L1: 30% chance of winning 10 euro, 30% chance of winning 30 euro, 40% chance of winning…

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A: given data ,here we have to find out the probabiltty of  getting two heads  in three  tossestotal…

Q: A study showed that 67.9% of occupants involved in a tatal car crash wore seat belts. Of those in a…

A: Given: A study showed that 67.9% of occupants involved in a fatal car crash wore seat belts. Of…

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A: From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01 The difference…

Q: The table below shows the number of credit cards owned by a group of individuals. If one person was…

A: Zero one Two Total Male 9 5 19 33 Female 18 10 20 48 Total 27 15 39 81

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A: Given that: There is a 25% chance of rain tomorrow.     p = 25%

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A: It is given that a complete deck of fifty-two playing cards in a dealt.

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A: 1. Suppose μd̄ is the difference of the population mean of post-test (x2) and pre-test (x1) scores.

Q: There are 4 red balls, 3 white balls and 2 blue balls in a bag. If a person selects two of the balls…

A: Total number of balls in a bag = 99 balls = 4 red balls, 3 white balls and 2 blue balls

Q: USA Today reported that about 47% of the general consumer population in the United States is loyal…

A: (a) The level of significance is 0.01. Hypotheses: H0:p=0.45; H1:p&gt;0.47

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A: Hey, since there are multiple subparts posted, we will answer first three questions. If you want any…

Q: Suppose that the random variable X has density function fx (x) = bxb-1 for 0 < x < 1, where b is a…

A: The median of a probability density function, f(x) is calculated using the formula,               ;…

Q: fix) Determine the probability density function of X. What proportion of reactions is complete…

A:

Q: How many 8-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?…

A: Given word is 'WASTEFUL'Total no.of letters in the word 'WASTEFUL' is 8 .

Q: Giving a test to a group of students, the grades and gender are summarized below   A B C Total…

A: A B C Total Male 7 12 3 22 Female 9 4 14 27 Total 16 16 17 49

Q: There is a 1/5 chance that it will rain tomorrow.  If it rains tomorrow, there is a 7/10 chance that…

A: By using tree diagram to find the probability

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A: P(Case defective)=11%, P(Battery defective)=12%  P(both defective)=5%

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A: According to the given information in this question We need to answer D

Q: For pe (0, 1), let X - Geom(p), i.e. P(X=n) =(1-p)"-¹p for n € N₁. Show that EX=. Hint: Use the fact…

A: Solution

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A: given data ,even prizes are to be given to seven different people in a group of nineteen.we have to…

Q: a) Suppose that Y₁, Y₂,..., Yn is a random sample from a normal distribution with parameter mean 0…

A:

Q: The inside diameter of a sample of 200 pen bodies produced by one machine is estimated to be 0.502…

A: Given Information: Mean μ=0.502 Standard deviation σ=0.005 Sample size n=200 These parts can only be…

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A: X is continuous-type as it as a continuous cdf.

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Q: A special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue. The five cards of each…

A: Total=20 cards  Red=5 Yellow=5 Green = 5 Blue= 5  Probability=favorable/total

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A: Total slices=10 2 black  4 gray  4white We have to calculate odds .

Q: Let f(x) = k(5x - x²) if 0 ≤ x ≤ 5 and f(x) = 0 if x 5. (a) For what value of k is f a probability…

A:

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Q: A lucky draw involves rolling a six-sided dice. If you roll a 6, you will win $300. If you roll a 5,…

A: Given information, A lucky draw involves rolling six-sided dice. The probability of getting any…