The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f (x) = Determine the following (round all of your answers to 3 decimal places): (a) P(X < 3) i (b) P(X>6) 0.027 (c) P(3 < X < 7) 0.091 (d) P(X <3 or X> 7) i ! (e) Determine x such that P(X < x) = 0.90. 3.162 ! - for x > 1.
Q: calculate the coefficient of range separetely for the two set of data given below setl:…
A: Answer: From the given data, set1: 7,5,2,11,16,9,15,18 set2: 24,15,16,29,35,43,55,65
Q: Discuss the sampling method that you think was used for this research
A: Four types of sampling methods: Random : samples choosen randomly, every member of population has…
Q: Pursuing an MBA is a major personal investment. Tuition and expenses associated with business school…
A:
Q: ) According to Chemical Engineering, an important property of fiber is its water absorbency. The…
A: Given: Sample size(n1)=25Sample meanx¯1=20Standard deviations1=1.5Sample size(n2)=25Sample…
Q: The Percentage of foreign-born population for each of 40 cities is represented below. Find the…
A: We need to find variance for the given data as follows,
Q: A state legislator wishes to survey residents of her district to see what proportion of the…
A:
Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with…
A: Answer : From the given data , Mean (μ) = 6% = 0.06 Standard deviation (σ) = 5% = 0.05 The…
Q: In a pizza restaurant, 57.54% of the customers order pizza. The probability that a customer who…
A: From the provided information, In a pizza restaurant, 57.54% of the customers order pizza. P (pizza)…
Q: Assuming a normal curve, find the lowest Z score a person could have while being in the following…
A: Using Normal curve Z = x-μσ We have given : ( a ) 10% P ( Z < z ) = 0.10 Using Excel =…
Q: You may need to use the appropriate technology to answer this question. Suppose a certain state…
A: given that,if the null hypothesis is rejected, we can conclude that salaries for Finance majors are…
Q: Here is a bivariate data set. X y 60.4 16.7 59.3 -28.7 29.2 110.3 36.2 -12.5 22.5 13.4 31.5 103.6…
A: Solution-: We want to find correlation coefficient =?
Q: GIVEN THE WEIGHTS OF FIVE PERSONS 120,145,156,160 AND 190 IBS A) FIND THE VARIANCE B) FIND THE…
A: From the provided information, The data values are as follow: 120, 145, 156, 160 and 190 IBS Sample…
Q: On the basis of their total scores, 200 candidates of a civial service examination are divided into…
A:
Q: 3) The probability density function for Y is given by -7₁ e y > 0 (0, elsewhere f(y) = 30 And its…
A:
Q: 1. In your own words, discuss the following in not more than 5 sentences each: a. Null Hypothesis,…
A: Solution: Hypothesis can be classified into two types 1) Null hypothesis 2) Alternative hypothesis…
Q: 1. A hall closet has 5 bath towels, 9 wash cloths, 4 hand towels, and 2 beach towels. Find the…
A: Q-1 5 - bath towels 9 - wash towels 4 - hand towels 2 - beach towels ____________________ 20…
Q: The sample space listing the eight simple events that are possible when a couple has three children…
A: Sample space: All possible outcomes.
Q: okay but is the p value GIVEN by the t test lower?
A: The graph shows the comparison of the group averages of static balance on left leg with eyes open vs…
Q: Assume X has a binomial distribution. Use the binomial formula, tables, or technology to calculate…
A: GivenAssume X has a Binomial distributionX~Binomial(n,p)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,n
Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…
A: Given,P(c≤Z≤0.730)=0.7551
Q: robability that the plant will not be inundated for a period of 5 years? [Note the mean rate of…
A: Given: Probability of inundation = 0.020 Mean rate if flood for inundation per year = 0.012 Mean…
Q: A specific exam is designed to determine a person's satisfaction with his or her relationship.…
A: Given that, population mean is u= 60 and Standard deviation is 10. Let X represents the person's…
Q: Smokers don’t live as long (on average) as nonsmokers, and heavy smokers don’t live as long as light…
A: More smoking less survival time.
Q: Draw a graph of a normal distribution with mean μ = −4 and standard deviation σ = 2. What's the…
A: Given that Mean = μ = −4 and standard deviation σ = 2.
Q: (d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to…
A: It is given that the data of match samples from the two populations.
Q: The probability distribution of a statistic is called a sampling distribution. O True O False
A: It is given that the statement about to the sampling distribution. Here, need to find out that the…
Q: Evaluate loge 7 by simpson's (i) 1/3 rd, and (ii) 3/8 th rules.
A:
Q: Using the joint probability table below, determine P(X = 0 | Y = 5). 3 زیا -10 1 0.15 0.15 0.05 0.05…
A: x=-1 x=0 x=1 total y=3 0.15 0.15 0.05 0.35 y=5 0.05 0.15 0.3 0.50 y=7 0 0.05 0.1 0.15…
Q: Review the following Cumulative Frequency Polygon 120 Cumulative Frequency Polygon to show birth…
A: From the given graph we find the solution.
Q: What is the student's GPA for that term? Round to two decimal places. Student's GPA =
A: Given that Suppose a student had these grades: 3.6 in a 5 credit Math course 2.6 in a 3 credit…
Q: 3. State or specify the null and alternative hypotheses in the following (use complete statements,…
A: The answer is attached below.
Q: The following data represent the number of drivers involved in a fatal crash in 2016 in various…
A: Since you have posted a question with multiple sub-parts, we will solve first 3 sub-parts for you.…
Q: Suppose that Y; Y₂; Yn is random Sample from a population with probability density Function find the…
A:
Q: The distribution of scores on a standardized aptitude test is approximately normal with a mean of…
A: GivenMean(μ)=500standard deviation(σ)=95
Q: product testing organization uses a survey of readers to obtain customer satisfaction ratings for…
A: Given that Sample size n1=280 , n2=300 Sample means x1=83 , x2=82
Q: Kelly’s batting average is .30 (they hit 3 out of every 10 pitches). Let’s assume there are 120…
A:
Q: If the third order difference are constant, prove that f²u_dx = ¹/(U_1/2 + 23U₁/2 + 23U3/2 + U5/2)…
A:
Q: ata table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at…
A: Given: Sample size (n) = 9 Significance level = 0.01 The null and alternate hypotheses are…
Q: A student was interested in the cigarette smoking habits of college students and collected data from…
A: Answer: Given data is, Males who smoke 20 Males who do not smoke…
Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. An experiment…
A:
Q: Which research design is described below? We prospectively examined the association between dietary…
A: Examined the association between dietary-fiber intake and incidence of colorectal cancer…
Q: 8.27 A random sample of 985 "likely voters"-those who are judged to be likely to vote in an upcoming…
A:
Q: 1. A furniture store reduces the prices of sofas in an autumn sale. The number of sofas sold during…
A: Given: The frequency distribution is shown below Mean daily temperature t Frequency 8-12 19…
Q: A quality control inspector knows that the items she inspects have at most two types of defects:…
A: As per our guidelines we are suppose to answer only one questionGivenP(A)=4.1%=0.041P(B)=4%=0.04P(A…
Q: Determine the required value of the missing probability to make the distribution a discrete…
A: According to the question, we have The discrete probability distribution table is given.
Q: The following results are for independent random samples taken from two populations. Sample 1 n₁ =…
A: Method: to find confidence intervals
Q: Z -.5 0 2 What does the red area indicate? Op(2>Z>-.5) p(-.5>Z>2) p(2> Z) or p(Z > -.5) p(-2 > Z) or…
A: Given information- We have given the normal distribution graph. We have to determine what does the…
Q: Assignment Many students at popular school in Timbuktu have been complaining that there seems to be…
A: The students at the Timbuktu school reported that there seems to be some level of inconsistency with…
Q: A magazine publishes restaurant ratings for various locations around the world. The magazine rates…
A: Given information- We have given that the magazine rates the restaurants for food, decor, service,…
Q: Unlike most packaged food products, alcohol beverage container labels are not required to show…
A:
Step by step
Solved in 3 steps with 3 images
- The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2P(x)=12e-x/2for x in [0,∞)[0,∞). Find the probability that a randomly selected laptop battery will last between 3 and 8 years?While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is p(x)=7e−7x for x≥0 What is the probability that you dropped it within 1 kilometer of home?On a production line, parts are produced with a certain average size, but the exact size of each part varies due to the imprecision of the production process. Suppose that the difference between the size of the pieces produced (in millimeters) and the average size, which we will call production error, can be modeled as a continuous random variable X with a probability density function given by f(x) = 2, 5e^(-5|x|), for x E R (is in the image). Parts where the production error is less than -0.46 mm or greater than 0.46 mm should be discarded. Calculate (approximating to 4 decimal places): a) What is the proportion of parts that the company discards in its production process? b) What is the proportion of parts produced where the production error is positive? c) Knowing that for a given part the production error is positive, what is the probability of this part being discarded?
- What is the variance of a continuous probability distribution given by the density function f(x) = 4x(1-x) for 0 < x < 1?suppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then P(X>1)While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is p(x)=7e−7x for x≥0 At what distance y from home is the probability that you dropped it within y km of home equal to 0.95?