Q2: Let x1, X2, .., Xn and y1, y2, .. Ym represent two independent random samples from the respective normal distributions N (H,0) and N(H2,0ž). It is given that of = 30ž, but ažis unknown. Then
Q: what is 1/2x+36=1/4x+72
A:
Q: Companies A, B, and C produce 20%, 20%, and 60%, respectively, of the major appliances sold in a…
A:
Q: For which sample size (n) and population parameter (p) can a normal curve be used to approximate the…
A: Given that If np>10 and nq>10 then it follows normal
Q: If the probability of a defective article is 1/10, find the Mean, Variance, Momer Coefficient of…
A:
Q: 3. A biomechanics researcher wanted to test whether good, average, and poor sprinters differed in…
A:
Q: Q1/ Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…
A: We have given two pair of dice rolled. S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6 S={ (1,1) (1,2) (1,3)…
Q: a. In how many ways can 4 people arrange themselves in a row for picture taking? а. 4. b. 8. с. 12.…
A: We have given that the problems related to the permutation and combinations. Here, need to find out…
Q: Fit a normal distribution for the following data by using ordinates method. Class-interval 150-160…
A:
Q: What is the importance of a time series analysis ?
A: Time series: A time series is a set of observations measured at time or space intervals arranged in…
Q: In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly…
A: The expected value of X or mean of X is calculated as μ = ∑x. f(x)
Q: Score 95- 99 frequency <cf 110 90-94 4 109 85 - 89 13 105 80 - 84 22 92 70 51 75 - 79 19 70-74 17…
A: Solution-: We have given the following table: Class Interval Freq (fi) CF 50-54 10 10 55-59 3…
Q: First a coin is tossed and then a four-sided die is rolled. How many possible outcomes are there? O…
A: Sample space of a coin is toss and a four sided die is rolled. {H,T} and {1,2,3,4}
Q: two balls are drawn at random from an urn containing six white and nine red balls. Recall, the…
A: 15(balls)=6(white)+9(red)
Q: (a) Show that the random variable (2/0) E X, has a x2-distribution with 2n degrees of freedom.
A: Solution
Q: Directions: Formulate the null and alternative hypothesis, identify the level of significance,…
A: Hypothesis test can be a large sample one or a small sample one.
Q: Problem 3. Which of the following sets are empty sets? (1) A = {x : x - 5 = 0 and x is rational} %3D…
A:
Q: Z is a random variable subjecting to a standard normal distribution. Find a value of c such that…
A:
Q: From the study of the relation between smoking and mortality, male recipients of war pensions were…
A: Chi square test is used to measure whether there is independency exist between the two categorical…
Q: Two cards are selected in sequence from a (a) .1 standard deck. Find the probability that.. the…
A: here given there are total 52 cards in standard deck there 4 suits in deck of cards each suits…
Q: Classify each event as: Independent (I), Dependent (D), Mutually Exclusive (ME), Inclusive Events…
A: Here we have to identity whether the given events are: Independent (I), Dependent (D), Mutually…
Q: A random sample of employees participating in a company fitness program were asked how many days…
A:
Q: According to a report done by SaJ Power, the mean lifetime of the light bulbs it manufactures is 45…
A:
Q: The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a…
A:
Q: There are hundreds of apples on the trees, so you randomly choose just 59 apples and get a mean…
A: Given,sample size(n)=59sample mean(x¯)=81.47standard deviation(s)=4.08degrees of…
Q: I need help with number 31 The problem that goes with the question is right above it
A:
Q: Activity 3: Create and Formulate Directions: Gather the number of households in your community who…
A: We need to construct a problem based on one population proportion. The z-test for one population…
Q: 1. Compute E[X] and Var(X) if X has a density function given by Gxe-x/2 x > 0 (0, otherwise a. f(x)…
A:
Q: Compare the chance that a rainy day has lightning to the chance that a day with lightning has rain.
A: here given , Suppose that in a year of 365 days, it rains on 21 days. There is lightning on 16 days.…
Q: Two different simple random samples are drawn from two different populations. The first sample…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: Find the number of distinguishable permutations of the given letters "AABCCCDD". Your answer is :…
A: Given letters is "AABCCCDD"No.of times letter "A" repeats(a) = 2No.of times letter "C" repeats(b) =…
Q: A fair and unbiased die is rolled. What is the probability of the event of a number greater than 2…
A: Given that
Q: A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80%…
A:
Q: List the sample space for each of the following event. 1. Rolling a single die. (Answered) 2.…
A: As per our guidelines we are suppose to answer only three sub parts. Given, Rolling a single die.
Q: Suppose X and Y are independent random variables. X is uniformly ) and Y is exponentially…
A: We have given that The random variable X and Y are independent. X is uniformly distributed on (0,…
Q: 38. A jar contains 6 red balls, 5 green balls, and 4 blue balls. If a ball is chosen random, find…
A:
Q: Kai and Paula are two of the five members of a singing group. Every week, the group picks two names…
A: Here Given There is 5 members group And 2 members are chosen for each week.
Q: A store gathers some demographic information from their customers. The following chart summarizes…
A: From the provided information, Age Number of Customers < 20 80 20 – 29 79…
Q: least 3 concrete examples. focus
A: The empirical rule refers to the dataset that is normally distributed and the relative frequency…
Q: Two Independent random samples of n observations are to be selected from each of two binomial…
A: Given: α=1-0.98=0.02E=0.05
Q: For the following problem, use the 68-95-99.7 Rule to approximate the probability rather than using…
A:
Q: Data in the matrix below are COST in millions, determine which alternative is dominant using With…
A:
Q: A fair die is rolled four times. What is the probability of obtaining a 5, 3, 5, and 5, in that…
A:
Q: The random variable, X, representing the number of cherries in a cherry cake, has the following…
A: The random variable x denotes the number of cherries in a cherry cake.
Q: Given the joint distribution X** of Red 1. 2 3. 4. 0. 6/252 12/252 3/252 12/252 54/252 36/252 3/252…
A:
Q: 1.Think of any pair of data (x and y) that may appeal to you (ex. Age and number of sleep hours,…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: 11.
A:
Q: 4. A jar contains 4 yellow, 21 gray, 12 pink, and 8 white marbles. A marble is drawn at random.…
A: Comment: As per the our company guidelines we are supposed to answer only one question. Kindly…
Q: Z is a random variable subjecting to a standard normal distribution. Find a value of c such that…
A:
Q: If X is a normal random variable with parameters u 10 and o? 36, compute %3D a. P(X > 5); b. P(4< X…
A: As per guidelines expert have to answer first question three subparts only dear student please…
Q: Rolling a die and tossing a coin at the same time.
A: Given that 4) Rolling a die and tossing a coin at same time Note: According to bartleby experts…
Step by step
Solved in 2 steps with 2 images
- Suppose X1, . . . , Xn be a random sample from the Beta(θ, 1) distribution. Find the P-value for the LRT test of the hypotheses H0 : θ ≥ 1 vs H1 : θ < 1Suppose a random variable Y uniformly distributed over the interval [2, 7]. 1. What is f(y)?A poisson random variables has f(x,3)= 3x e-3÷x! ,x= 0,1.......,∞. find the probabilities for X=0 1 2 3 4 and also find mean and variance from f(x,3).?
- Suppose that the random variables X1,...,Xn form a random sample of size n from the uniform distribution on the interval [0, 1]. Let Y1 = min{X1,. . .,Xn}, and let Yn = max{X1,...,Xn}. Find E(Y1) and E(Yn).1.- A study conducted in the automotive field states that more than 40% of vehicle engine failures are due to problems in the cooling system. To test this statement, a study is carried out on 70 vehicles and the critical region is defined as x < 26, where x is the number of vehicle engines that have problems in the cooling system. (use the normal approximation)a) Evaluate the probability of making a type I error, assuming that p = 0.4.b) Evaluate the probability of committing a type II error, for the alternative p = 0.3.Let X1,...,X25 be a random sample from a normal distribution with unknown mean μμ and known variance σ2=100. A sample x1,…,x25 is collected and the sample mean from this sample is calculated to be x¯=4. Based on this sample, a 95% confidence interval for μμ is?
- Suppose that X1, . . . , Xn form a random sample from the uniform distribution on the interval [θ1, θ2], where both θ1 and θ2 are unknown (−∞ < θ1 < θ2 < ∞). Find the MOM estimates of θ1 and θ2.The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the number of cars with defective AC in a sample of size 100. (a). Find P(X < 6) exactly. (b). ) Find P(X < 6) approximately, using a Poisson approximation (c). Find P(X < 6) approximately, using a normal approximation. Note: For parts (a) and (b), you only need to provide a formal expression each. For part (c), you need to compute the numerical values using the Q-function table (Table 4.2) from the textbook.Suppose that X1, . . . , Xn is a random sample from the Normal distribution N (0, σ2 ) with parameter σ > 0, Find the Maximum Likelihood Estimation of σ.
- A manufacturer has developed a new fishing line, which he claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that μ=15μ=15 kilograms against the alternative that p<15p<15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be x<14.9x<14.9(a) Find the probability of committing a type 1 error when H0H0 is true(b) Evaluate ββ for the alternatives p−14.8p−14.8 and μ=μ= 14.9 kilograms.Let X be a continuous random variable, normally distributed with a mean of 46 and a standarddeviation of 4.2. What value of x would have a z-score of 1.56?Let Yn denote the nth order statistic of a random sample of size n froma distribution of the continuous type. Find the smallest value of n for which theinequality P(ξ0.9 < Yn) ≥ 0.75 is true.