random variable X has moment generating function (MGF) given by 0.9-e2t if t <-In (0.1) x(t)=1-0.1-e2t otherwise ompute P(X= 2); round your answer to 4 decimal places. swer:

Q: 4. (a) Twelve balls are distributed at random among three boxes. What is the probability that the…

A: 4.) a.) The total number of balls =12 The total number of boxes =3

Q: Question. What are the differences between (unknown) population regression line and fitted…

A: The Population Regression line is the regression that is based on the population data. It includes…

Q: An environmentalist wants to determine the relationships between the numbers (in thousands) of…

A: The given data is x y 72 62 69 42 58 19 47 26 84 51 62 15 55 39 50 15

Q: Test the null hypothesis that supervision had no effect on the performance of the workers. Use the…

A: Given that    Sample sizes n1=20      , n2=20        Sample means X̄1=70.6      , X̄2=77.4      s1 =…

Q: The following is the age distribution of 1,000 persons working in a large industrial house:…

A:

Q: Given 50 multiple-choice items in their final test in 23 38 28 46 45 44 21 18 43 Find & interpret…

A: For decile first we have to order the data in increasing order: n=30…

Q: Exam-style questions 9 P1: The grouped frequency table below shows the results of a statistics test…

A:

Q: 1. A class in Engineering Data Analysis consist of 6 women and 4 men. Their grades are calculated,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: Percentage of students don't own a calculator = 50% = 0.50 Sample size = n = Number of students are…

Q: Please also explain why you determined whether or not the results are statistically significant. The…

A: The sample size is 137 and the correlation between two variables is -0.78.

Q: en the “significance level below”, state the confidence level. Sketch the Z-score graph with the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Over the past decade, an insurance company has had a mix of 40% whole life policies, 25% universal…

A:

Q: inversecdf(normaldist (μ,o)p) The length of wear on Spinning Tires is normally distributed with a…

A: Given data: μ = 60000 σ = 5000   Formula Used: Z-score = X-μσ

Q: SHOW THAT P(x₂0) = 0.3₁ P(X=1) = 0.2₁ P(x7, 2) = 0

A:

Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

A:

Q: A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a…

A:

Q: thee workers' monthly salary follows a normal distribution. The avarage is $3,000 and the variance…

A: From the provided information, Mean (µ) = 3000 Variance (σ2) = 260000 X~N (3000, 260000) Here X be a…

Q: A company XYZ issued 30 year bonds with 10% annual coupon rate at their par value of $1000 in 2010.…

A:

Q: c. why can the normal distribution be used in part (b), even though the sample size does not exceed…

A: It is given that  Mean, μ = 205.5 Standard deviation, σ = 8 Sample size = 15

Q: A real estate agent compares the selling prices of homes in two municipalities in southwestern…

A:

Q: What is the expected weight of a chimpanzee that is 157 cm tall?

A: Here Given Regression Equation  Y = 0.34x + 19.5 Where  Y = Weight in Kg x = Height in cm And…

Q: A company produces mosquito repellants that have a period of effectiveness that is approximately…

A: Given : sample size, n =40 sample mean, x̄ =294 population standard deviation,σ=12…

Q: Based on the boxplot above, what is the value for the maximum

A: It is given that the whisker box plot that represents the five number summary of the data set. The…

Q: An environmentalist wants to determine the relationships between the numbers (in thousands) of…

A:

Q: * If n=32, x=26.2, o=5.15, a = 0.05:answer the following Two questions Q8. The confidence interval…

A: We have given that,  Sample mean (x̄) = 26.2, population standard deviation (σ) = 5.15, sample size…

Q: areem received a $1900 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with…

A: From the given information we find final amount and interest earned.

Q: STATISTICS AND PROBABILITY (PLEASE SHOW your COMPLETE & CLEAR solutions) RATE WILL BE GIVEN…

A: The following is a list of 20 scores is 70 81 61 93 66 83 68 90 91 94 84 85 89 85 74 83 72 90…

Q: 4: Two mathematics teachers working in a school want to compare whether there is a difference…

A: Given information: Teacher A Teacher B 78 83 60 45 51 54 50 44 45 15 40 40 27 71…

Q: A survey was given to a random sample of 1750 residents of a town to determine whether they support…

A: Given X=1015 n=1750

Q: TABLE 2.3 Calculate the variance and standard deviation for the five measurements in Table 2.3,…

A: According to the given information in this question We need to find the standard deviation

Q: Let X be a stochastic variable with a N(8,16) distribution. Suppose P(X<b) = 0.719. Calculate the…

A:

Q: Prove the 2-tailed case of the Two-Sample t-test, i.e., let X₁, X2,..., X be a random sample of size…

A:

Q: A pharmaceutical company, engaged in the manufacture of a patent medicine claimed that it was 80…

A:

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A: Given : X~ profit from smallest to largest  16$ Win if 6 comes 1$ win if 4 or 5 comes Loose $2 if…

Q: The table represents the number of minutes of commercials during hour- long TV shows. Find the…

A: Given that Table for no. of minutes of commercials during hour long TV shows. No. of mins 12 13.5…

Q: Consider a continuous random variable X with pdf: // Gestel 'n kontinue stogastiese veranderlike X…

A:

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Given: Significance level α = 0.05 For option-1: Sample size n1 = 250 Sample mean X1 = 17.6 Sample…

Q: Don has an assignment to ask at random 10 students in their school about their ages. The data are…

A: (2) The first , Second and Third Quartiles are 11.75, 13, 14.25. So the total number of Students…

Q: solve for t.

A: here given ,  A group of faculty members at a local university agreed that the average annual salary…

Q: Given the interval estimate for the mean (9.4, 11), the point estimate for the mean is and the…

A: The confidence interval is (9.4, 11).

Q: 1. A die is rolled 4 times, what is the probability of getting 1 then 2 then 3 then lastly 4?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sample 3,3 3,4 3.5 3,9 4,3 4.4 4,5 4,9 Sample mean 3 3.5 4 6 3.5 4 4.5 6.5 Sample 5,3 5,4 5,5 5,9…

A: Since, the question number is not specified, we'll be answering the first question only. Please…

Q: *Assume that the random variable X is normally distributed, with mean - 45 and standard deviation…

A:

Q: The table below shows the distribution of the daily rates of 80 factory workers from different…

A: The values which divide a frequency distribution of a variable into hundred equal parts, are said to…

Q: ********************** 27. Which of the following is (are) TRUE if the test on the linear dependence…

A: given data  Which of the following is (are) TRUE if the test on the linear dependence of Y on X…

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: Given: n = 995 x = 532 Confidence level  = 99 %

Q: For the data below, calculate the correlation coefficient between X and Y. You may use the…

A:

Q: Consider an experiment in which there are 4 groups and within each group there are 12 participants.…

A: Given:  No of group k=4  No of sample in each group n=12  To find degree of freedom for denominator…

Q: How much interest is earned when an amount of 100,000Php is invested with annual interest rate of 8%…

A:

Q: a random sample of 1000 google play apps was collected and the average rating was calculated to be…

A: