SITUATION 3 In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: Normal Stress, x (MPa) Shear Resistance, y (MPa) 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 28.1 22.5 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 (a) Determine the equation of the best-fit line that relates the normal stress and the shear resistance of the metal specimen. Evaluate the goodness of the fit of the said equation. (b) Predict the magnitude of the normal stress acting on the metal specimen provided that its shear resistance is 24.0 MPa. (c) Predict the magnitude of the shear resistance of the metal specimen if a normal stress of 29.0 MPa is acting

Q: 3.) DJ: A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song is t...

A: from the given find ( a)(b) and (c)

Q: Illustration. 16.75. If A, A, and A, be any three events prove that 3 P(A +A + Az) =EP(A;) -EP(A;A;)...

A:

Q: The graph of a probability distribution is shown below. The graph is made up of a line segment and t...

A: Given,Area=0.075

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has a = 40 and ...

A:

Q: The table shows the distribution, by age, of a random sample of 3150 moviegoers ages 12-74. If one o...

A:

Q: Let {X„} be a time homogeneous Markov Chain with sample space {1,2, 3, 4} and transition matrix P = ...

A: In question, We have given a Transition probability matrix of a Markov chain. Then we'll find the st...

Q: Suppose that we have a fuse box containing 20 fuses, of which five are defective. If 3 fuses are sel...

A: Given that  Total fuse=20 Defective fuse=5 3 fuse chosen at random 

Q: In a certain raffle, you are asked to choose six numbers from 1 to 55. You win the jackpot prize if ...

A:

Q: Illustration. 16.75. If A1, A and Az be any three events prove that 3 P(A + A, + Az) =EP(A;) -EP(A;A...

A:

Q: calculate the expected value of X.S

A: A cubical die is biased. The numbers one to five are equally likely to land face up, but six is twic...

Q: Three randomly selected children are surveyed. The ages of the children are 2, 6, and 7. Assume that...

A: Data given  2,2,2,6,2,7,6,2,6,6,6,7,7,2,7,6,7,7

Q: Please create an experiment (Dice, cards, or spinners can be used)  that must consist of 3 actions. ...

A: We know that the ,  An experiment is a controlled study in which the researcher attempts to understa...

Q: The math club at college has 16 students - 10 males and 6 females. (a) The club wants to select a g...

A:

Q: Question 2 In a management trainee program at a particular company, 68 percent of the trainees are f...

A: Given that                We have to find  a) Find the probability that a management trainee select...

Q: Draw a normal distribution.

A: We know that the normal distribution, P( μ - σ < X < μ + σ ) = 68% P( μ - 2σ < X < μ + 2...

Q: ohe point in the game you have narrowed the pessibilities down to 3 prople, 5 weapons, and 3 rooms. ...

A: Clue is a board game in which you must deduce three details surrounding a murder. In the original ga...

Q: The 14 members of the Town Board must decide where to build a new post office. Their three choices N...

A: Pair wise comparison method is a method that used to compare each enitity with each other. It is als...

Q: beats beats Suppose that pulse rates among healthy adults are normally distributed with a mean of 80...

A:

Q: What is E(e Y = 1)?

A: First we have to obtain the conditional PDF of X given Y = y to find the required expectation.

Q: An experiment consists of rolling a die until a 3 appears. List the elements of an event E, that eve...

A: Solution-: List the elements of an event E, that event that 3 appears before the fifth roll. 

Q: A lottery box contains lottery tickets numbered 0 to 100. If a lottery ticket is drawn at random, fi...

A: Given that  A lottery box contains lottery tickets numbered 0 to 100 Sample space=S=(1,2,3,____,98,9...

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has x = 40 and ...

A: Given  ŷ=18+0.25X  x=40, y=32   

Q: The normal curve is used to determine actual number of occurrances, not percentages. O True O False

A:

Q: b. Find P(x 3) (to 4 decimals). d. Find P(r < 5) (to 4 decimals).

A: We have given that the exponential probability density function is, f(x) = (1/4)e-x/4 ,  x ≥ 0   Not...

Q: 7.) CD Selection: James ruiz has 7 CDs and wants to select 4 to play in his car CD player. In how ma...

A:

Q: A simple random sample of 30 items resulted in a sample mean of 15. The population standard deviatio...

A:

Q: A committee of 4 from among them is to be formed. There are 3 economists, 4 engineers, 2 statisticia...

A:   Given problem Given that   There are 3 economists, 4 engineers, 2 statisticians and 1 doctor. A co...

Q: 8.) Test Question: On an English test, Tito Ramirez, must write an essay for three of the five quest...

A: Solution: Tito Ramirez must choose three of the  five question in part 1 in 5C3 ways.  Similarly Tit...

Q: 30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from eac...

A:

Q: You are tasked to arrange five different Mathematics books, four different Science books, and three ...

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

Q: If there are 6 people in a room, what is the probability that at least two of them have the same bir...

A: If there are 6 people in a room, what is the probability that at least two of them have the same bir...

Q: How many 12 digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We have given that  1 = 4 times 2 = 2 times 5 = 3 times 6 = once9 = 2 times

Q: The number of work accidents N follows a Poisson(λ) distribution. The parameter λ is a random variab...

A: Given that  N~Poissonλ λ~Uniform0,3

Q: A surgical technique is performed on 10 patients. You are ance of success. Find the probability that...

A: Given data,Total no of patients n=10Chance of success is p=70%=0.70

Q: Billy was asked to express P(85,60) as a product of numbers without factorials so he wrote the follo...

A: P(85,60)= ?

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has x = 60 an...

A:

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has r = 60 an...

A: The simple linear regression equation use a straight line to relate the dependent variable with the ...

Q: Using all 1991 birth records in the computerized national birth certificate Center for Health Statis...

A: Given data,Mean μ=3432sd    σ=482

Q: 2. You form a seven-digit code using the digits 0, 1, 1, 2, 3, 4, 5. What are the chances that the n...

A: Given : Using digit 0,1,1,2,3,4,5   we form 7 digit code . We need to find the chances that the numb...

Q: a) brow a tree diagram for this experimente ba) what is the probability the second marble drawn is g...

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE define events and draw tree diag...

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president, v...

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin permutation...

Q: Typical values for alpha generally range from 1% to 10% for hypothesis testing. Select one: O True O...

A: Alpha represents significance level 

Q: particular fruit's weights are normally distributed, with a mean of 282 grams and a standard deviati...

A: We have given that.   X~N( μ , ?^2 )   μ=282   , ?=24   Z-score =( x - μ )/?

Q: IDENTIFY WHETHER EACH RANDOM VARIABLE IS DISCRETE OR CONTINUOUS AND CITE TWO POSSIBLE VALUES FOR EAC...

A: A variable is said to be discrete if it takes only specific values i.e integers or whole numbers. A ...

Q: What is the total number of possible gate codes?

A: here The gate code to a gated community consists of the # key, followed by 2 letters chosen from the...

Q: You hired Helen to manage your coffee shop. The profits that you obtain from the coffee shop depend ...

A: When profit= 1000 then total expected amount Helen get when she works hard , E(X) =1000*0.5 = 500  P...

Q: A continuous random variable X has density function f(x) =- (x-1)' defined on the 4 interval 11.5)

A:

Q: 4. According to the Red Cross Blood Organization, the blood type most requested by hospitals is type...

A: For the given data p =0.45 Find the given probabilities

Q: A coin is weighted in such a way that it lands "heads side up" 70% of the time. The coin is to be fl...

A: Given that p =0.7 ,n=8,k=5 Using negative binomial distribution Find the probability given

Q: How many different committees can be formed from 6 teachers and 48 students if the committee consist...

A: Given,no.of teachers=6no.of students=48