A certain mechanical component is to be manufactured with a diameter of 3 centime- ters. The manufacturing process produces components whose diameters are normally distributed with mean value µ = 3 and standard deviation is 0.02 cm. (a) What percentage of components will have a diameter greater than 3.045 cm? (b) What percentage of components with have a diameter less than 2.95 cm? (c) If the manufacturer discards any component with a diameter that differs from 3 cm by more than 0.03 cm (in either direction), then what percentage of components will be discarded?

Q: pharmaceutical company receives large shipment of aspirin tablets except in sampling plan is to…

A: given data select n = 57 tablets in batch P(defective) = p = 0.03x = no. of defective tabletsP(x=X)…

Q: For major league baseball teams, is there a relationship between player payrolls and gate mon- of…

A: Given information: x y x^2 y^2 xy 59.2 25.56 3504.64 653.3136 1513.152 80.5 40.74 6480.25…

Q: Students who live on campus and purchase a meal plan are randomly assigned to one of seven dining…

A: Given: Total number of halls = 7 Number of dining halls chosen = 1

Q: Let X denote the data transfer time (ms) in a grid computing system (the time required for data…

A: Given that

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: . Compute the p.g.f. of X when X has the following distribution. (a) When X has a Bernoulli…

A:

Q: Treatments Error k-1 =3 N-k=716 SSTR = 212.9379 SSE 1,969.4932 MSTR = MSE = SSTr k-1 212.9379 SSE…

A: It is given that the  ANOVA table. Here, need to fill up some missing values in the table.

Q: Elimination In the past year, 13% of businesses have eliminated jobs. If 5 businesses are selected…

A: P(eliminate job)=p=0.13sample size,n=5x=no.buisnesses eliminated jobs)P(X=x)=nCx×px×qn-x…

Q: a) f(2)=P(X=2) = b) E(X)= c) Var(X) =

A: Given that  Probability mass function of X  X 0 1 2 3 8 f(X) =  P(X=x) 0.3 0.1 ? 0.2 0.3…

Q: You have a collection of 7 Scrabble tiles labelled A, B, C, D, E, F, and G. How many ways can you…

A: 7 scrabbles : {A, B, C, D, E, F, G} select 3 at random  P(one vowel and 2 consonants ) = ? vowel :…

Q: (a) Determine the equation of the estimated regression line. Temp. Ratio 174 176 177 0.75 1.40 1.45…

A: Given data: Temp Ratio 174 0.75 176 1.4 177 1.45 178 1.12 178 1.02 179 1.07 180…

Q: The sample means and variances of the observed det arded to find the value a Ireatment Treatment…

A: T1 T2 T3 T4 9 5 3 5 7 9 6 1 3 0 1 5 14 3 0 6 1 8 4 5 2 9 0 1 0 5 4 0 9 1 3 0 12 6…

Q: ANOVA test, a table is helpful to organize values in calculation of the test statistic and…

A: Given K=4

Q: 2. Suppose that X₁, X2, and X3 are mutually independent and identically distributed with moment…

A:

Q: Consider the density curve plotted below: PDF(X) 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02…

A:

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: (D) If the student is an Arts & Sciences major, what is the probability that the student is from…

A: Formula for conditional probability  P(A | B) = P(A and B) / P(B)

Q: (5) Suppose you wish to create a truth table to analyze an argument whose variables are: A, B, C, R,…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING... here…

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A:

Q: Consider the following probability distribution:…

A: The probability function of X is given by P(x)=(5!)/(x!(5-x)!).(0.7)x.(0.3)(5-x) , x=0,1,...,5

Q: formation regarding the ACT scores of samples of students in three different majors is given below.…

A: An ANOVA test is a method of statistical analysis that checks for variance-based mean differences to…

Q: In a certain municipality, 70% of all residents are at risk of heart disease. If researchers…

A: When  X~Bin(n,p) P(X=x)=nCx×px(1-p)n-x ; x=0,1,2,..,n  Farmula used r!=r(r-1)(r-2)×..×3×2×1…

Q: K- Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly…

A:

Q: Select a committee of seven members from a group of six women and eight men. The order of selection…

A: Given that  A committee of seven members  Group of 6 women and 8 men

Q: An electrical firm manufactures light bulbs that have a lifetime that is approximately normally…

A: GivenMean(x)=788standard deviation(σ)=40sample size(n)=30The null and alternative hypothesis…

Q: A random variable follows a binomial distribution with the probability of success for one trial at…

A: The sample size is 18 and probability of success is 0.745.

Q: how did you get 123:2 from 0.984/0.016

A: Given that  0.984/0.016

Q: K complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal…

A: Solution

Q: A search committee was formed to find a new software engineer from a set of 50 applicants. The total…

A: Given information- We have given that a search committee was formed to find a new software engineer…

Q: A college tennis team has 12 players; 6 are seniors, 2 are juniors, and 4 are sophomores. Two…

A: Given that  Total Players = 12 Senior Players = 6 Junior Players = 2 Sophomores Players = 4 2…

Q: Empirical Results With Replacement 1. L 2. L 4. GR 7. o 10. R 13. GR 16. O 19. L 22. GR 5. B 8. GR…

A: Solution: The data for the with replacement and without replacement is given.

Q: Suppose that XnX in probability and Yn → Y in probability. Prove th

A: Given information: Xn→X in probability and Yn→Y in probability. That is, PXn-X>ε→0, for every…

Q: The sex ratio of newborn human infants is about 105 males to 100 females. If four infants are chosen…

A: We have given that Newborn infants is males = 105 Newborn infants is females = 100 Total number of…

Q: A certain little-known human language consists of only nouns and verbs. A sentence begins with a…

A:

Q: It is estimated that 60.5% of adults in Nevada have received at least one dose of the COVID-19…

A: From the provided information, 60.5% of adults in Nevada have received at least one dose of the…

Q: Many students at popular school in Timbuktu have been complaining that there seems to be some level…

A: Given information: Essay Quarrie Taylor Wilson Forbes 1 62 63 65 68 2 58 60 61 64 3 63 68…

Q: In a research report, Richard H. Weindruch of the UCLA Medical School claims that mice with an…

A: The test hypotheses are: Null hypothesis: H0: μ = 40 Alternative hypothesis: H1: μ < 40

Q: The table shows the distribution, by age and gender, of the 29.6 million people in a certain region…

A: Given data is   Ages  18-24 Ages 25-34 Ages 35-44 Ages 45-64 Ages 65-74 Ages ≥75…

Q: Could you explain please your comment in details: "Since the probability is greater than 0.05 then…

A: We have from the solution  P( X < 10 ) = 0.3707 = 37.07%

Q: there are two baskets, in the first, 4 red , 8 white balls, in the second 7 red and 6 white balls,…

A: Two basket 1: 4red+8white = 12 balls 2: 7red+6white = 13 balls Probability = favorable/total

Q: like 2 of the songs. With the random feature on your player, each of the 11 songs is played once in…

A:

Q: Prove that there are no integer solutions to the equation x² = 4y + 3. Prove that every prime number…

A:

Q: I know 50% of Chrome add-ons are spam add-ons containing a virus. A tool can detect 99% of spam but…

A: Given; P(B) = 0.5, P(B') = 0.5, P(AlB) = 0.99, P(AlB') = 0.05

Q: In a study of the relationship between health risk and income, a large group of people living in…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186. Use…

A: Formula: Regression line is                 Y = a + b X

Q: Problem #5. In how many ways can a committee consisting of 2 managers and 3 staff members be formed…

A: committee consisting: 2 manages and 3 staff memberseligible to serve on committee: 6 managers and 10…

Q: About 19% of the population of a large country is allergic to pollen. If two peop are randomly…

A: given data  P(allergic to pollen) = p = 0.19   select two at random

Q: The probability density of a random variable X is given in the figure below. 0 1 X From this…

A: From the provided information, The figure follows uniform distribution. U (0, 2) Here a = 0 and b =…

Q: Suppose P(C) = .048, P(Mn C) = .044, and P(M u C) = .524. Find the indicated probability. P(M) .528…

A: We have given that,  P(C) = .048, P(M∩C) = .044 and P(M∪C) = .524 Then,  We will find probability…

Q: (1) An airline finds that each passenger who reserves a seat fails to turn up with probability fo…

A: Note: Hi  there! Since, multiple questions are posted. Solving the first question for you. Kindly…