Let X ~ Exp(2). Find a real number a E [0, 1] such that the events {X € [0, 1]} and {X € [a, 2]} are independent.
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- Note: No special formulas are necessary to answer the questions asked in this problem. Please analyze and use only the description and graph provided to answer the parts to this question. 3. Becky takes out a 30-year mortgage for which her monthly payment is $1400. During the early years of the mortgage, most of each payment is for interest and the rather small remainder is for principal. As time goes on, the portion of each payment that goes to interest decreases while the portion for principal increases, as shown in the following graph: 1500 1400- 1300 interest 1200 1100- 1000 900- 800- 700- -600- 500 400 300 200 Principal 100 100- 15 20 a. At the beginning of the loan, approximately how much of the $1400 monthly payment goes toward principal? b. Approximately how much of the $1400 monthly payment goes for interest in year 5? c. In what year will the monthly payment be equally divided between interest and principal?For the following question, type the solutions to each part of the question in the space provided at the bottom of the question. Make sure you label each part of the question very carefully: Three students, Linda, Tuan, and Javier, are given laboratory rats for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Formula C Formula B Formula A 16 31 47 57 51 44 55 53 54 15 43 60 28 48 28 34 44 35 38 19 58 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.1. State the null and alternative hypotheses, compute the test statistic, the p-value, and and state the conclusion of the testQUESTION 1 You replied to a posting in the local paper and secured an interview at a position of Medical Administrative Assistant. gastroenterology clinic. In their follow-up email they offered you the They're offering you $1673 paid semi-monthly. The firm is located in an office tower, so you will have to pay for parking at a rate of $29/week. What would your annual net earnings be?
- Write out solutions to the following questions. Show all calculations using the formulas. Include all diagrams appropriately labeled. Use proper notation throughout the solution. Think of the assignment as if you were demonstrating to someone how to do these problems. The quality of the work and the neatness and organization of the work will count in the grade. A random sample of 25 frozen dinners of a certain type was selected from production during a particular period and the calorie content of each one was determined. The resulting observations are: Calories from Frozen Dinners 255 244 239 242 265 245 259 248 225 226 251 233 266 227 246 240 257 222 237 270 230 260 268 231 238 The stated calorie content is 240 calories. At the 5% significance level, do the data suggest that the mean calorie content of the frozen dinners differs from 240 calories? State the null and alternative hypothesis Check the conditions. To determine if the data is approximately normal, using…If you shop on a regular basis in supermarket you will notice that prices may vary from one week to another. Why is it so?Please do all five steps for solving this (2nd picture). Thank you!
- I don’t understand the assignment.For each of the following problems, which subtraction model take away, missing addend, comparison, or measurement corresponds best to that problem? (a) Ivan solved 18 problems and Andreas solved 13 problems. How many more problems has Ivan solved than Andreas? (b) On Malea's 12-mile hike to Mirror Lake, she came to a sign that said she had 5 miles left to reach the lake. How far has Malea walked so far 2.) In an attempt to do a three-digit subtraction, Yuan writes 706 -327 421 (a) Identify what she is doing incorrectly. (b) How will you help correct her errorPlease help me answer the following questions. Thank you
- The last time you ate at Mister Smith's was for: About how much did you spend? Rate your experience from one to ten. Lunch $10 10 Lunch $20 9 Dinner $20 10 Lunch $20 10 Breakfast $10 8 Lunch $10 10 Lunch $10 10 Lunch $20 7 Lunch $20 10 Lunch $20 6 Lunch $20 8 Breakfast $20 7 Dinner $45 10 Lunch $20 9 Lunch $20 8 Lunch $20 9 Lunch $20 10 Breakfast $20 9 Lunch $20 10 Lunch $20 10 Lunch $20 8 Dinner $10 10 Lunch $20 9 Lunch $6 4 Lunch $10 10 Breakfast $20 10 Dinner $20 10 Lunch $20 6 Lunch $30 9 Breakfast $10 9 Lunch $10 10 Lunch $10 10 Lunch $30 8 Dinner $20 10 Lunch $20 10 Lunch $30 10 Lunch $20 8 Lunch $10 10 Lunch $20 6 Lunch $30 8 Breakfast $30 10 Lunch $10 10 Lunch $20 9 Breakfast $20 8 Lunch $20 8 Lunch $16 9 Breakfast $10 10 Lunch $30 10 Dinner $20 10 Breakfast $20 10 Breakfast $20 10 Lunch $20 10 Lunch $10 10 Breakfast $40 10 Dinner $20 10 Lunch $20 10 Lunch $10 10…The figures to the right represent the number of bakeries in two towns. (a) How are the figures misleading? OA. It looks like bakeries in Warm Springs are much larger than those in Denton. B. It looks like Warm Springs has slightly fewer bakeries than Denton. OC. The figures are not misleading. D. It looks like Warm Springs has significantly more bakeries than Denton. (b) What could be done to improve the graphic? OA. The graph does not need to be changed. OB. The Denton figure should be 70% as large as the Warm Springs figure. OC. The Warm Springs figure should be 5% smaller than it is now. D. The Denton figure should be 10% smaller than the Warm Springs figure. Warm Springs - 10 Denton - T