There are ten total questions. could i please get some help? thank you

STAT 200 Midterm Exam Instructor : Dr. Jing Gao NAME Spring 2019 INSTRUCTIONS The midterm exam is worth 100 points total . The midterm exam covers week I to week 4 Thaterials . The midterm exam is open book and open notes . This means that you may refer to your textbook , notes , and online course materials . but you must work independently and may not consult anyone . You may take as much time as you wish , provided you turn in your midterm exam via LEO by 11:59 pm EDI on Sunday , February 17 , 2019 .` With the midterm exam submission , please include the sentence , " I have completed this assignment myself , working independently and not consulting anyone except the instructor . " Answer all 10 questions . Make sure your answers are as complete as possible . Show all of your work and reasoning . In particular , when there are calculations involved , you must show how you come up with your answers with critical work and / or necessary tables . Answers that come straight from calculators , programs or software packages without explanation will not be accepted . 1 . ( 10 points ) The U .S. Census Bureau needs to estimate the median income of females in the U .S. , they collect incomes from 3500 females . State the individual , variable , population , sample , parameter , and statistic . 2 . ( 10 points ) Researchers want to collect cholesterol levels of U.S. patients who had a heart attack two days prior . The following are different sampling techniques that the researcher could use . Classify each as simple random sample , stratified sample , systematic sample , cluster sample , or convenience sample . 2 . ) The researchers randomly select 5 hospitals in the U.S. then measure the cholesterol levels of all the heart attack patients in each of those hospitals . b . ) The researchers list all of the heart attack patients and measure the cholesterol level of every 25 " person on the list .C . ) The researchers go to one hospital on a given day and measure the cholesterol level of the heart attack patients at that time . 2. ) The researchers list all of the heart attack patients . They then measure the cholesterol levels of randomly selected patients . e . ) The researchers divide the heart attack patients based on race , and then measure the cholesterol levels of randomly selected patients in each race grouping . . ( 10 points ) The density of people per square kilometer for African countries is in table # 1 . Create a frequency distribution , relative frequency distribution , and cumulative frequency distribution using & classes . Table # 1 : Data of Density of People per Square Kilometer* 15 16\\ 81 62 | 367 42\\ 123 8 337 12 29 70 39 83 26 79 105 42 45 72 72 37 36 134 12 630 | 563 72 29 13 176 341 415 187 65 194 75 16 41 18 69 49 103 65 143 18 314 . ( 10 points ) The lengths ( in kilometers ) of rivers on the South Island of New Zealand that flow to the lasman Sea are listed in table # 3. 1. 9 ( Lee , 1994 ). Find the mean , median , and mode . Table # 2 : Lengths of Rivers ( km) Flowing to Tasman Sea River Length River Length ( Km ) ( KM ) Hollyford 76 Waimea 48 Cascade 64 108 Arawhata Motueka 68 Takaka 72 Haast 64 Aprere 72 Karangarua 37 Heaphy 35 Cook 80 Waiho 32 Karamea Whataroa 32\\ Mokihinui 56 51 Buller 177 Wanganui 56 Grey 121 Waitaha 40| Taramakau 80 Hokitika 64 Arahura 56 5 . ( 10 points ) Eyeglassmatic manufactures eyeglasses for their retailers . They test to see how many defective lenses they made the time period of January 1 to March 31 . Table # 3 . 2 . 11 gives the defect and the number of defects . Find the mean , median , and mode . Table # 3 . Number of Defective Lenses Defect type Number of defects Scratch 5865 Right shaped - small 4613 Flaked 1992 Wrong axis 1838 Chamfer wrong 1596 Crazing , cracks 1546 Wrong shape 1485 Wrong PD 13984 . ( 10 points ) The lengths ( in kilometers ) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed in table # 3. 1.9 ( Lee , 1994 ). Find the mean , median , and mode . Table # 2 : Lengths of Rivers ( km ) Flowing to Tasman Sea River Length Length Hollyford ( Km ) River ( Km ) 48 Cascade 76 Waimea 64 108 Arawhata Motucka Haast 68 Takaka 72 64 Aprere 72 Karangarua 37 35 Cook Heaphy Waiho 32 Karamea 80 32| Mokihinui 56 Whataroa Wanganui 51 Buller 177 56 Waitaha Grey 121 Hokitika 40| Taramakau 80 64 Arahura 56 5 . ( 10 points ) Eyeglassmatic manufactures eyeglasses for their retailers . They test to see how many defective lenses they made the time period of January 1 to March 31 . Table # 3 . 2 . 1 1 gives the defect and the number of defects . Find the mean , median , and mode . Table # 3 . Number of Defective Lenses Defect type Number of defects Scratch Right shaped - small 5865 Flaked 4613 1992 Wrong axis 1838 Chamfer wrong 1596 Crazing , cracks 9ts Wrong shape Wrong PD 1485 1398Spots and bubbles 1371 Wrong height 1 130 Right shape - big 1 105 Lost in lab 976 Spots / bubble - intern 976 2 . ) Find the mean and median . b. ) Find the range . C . ) Find the variance and standard deviation .6. ( 10 points ) An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls . 2 . ) Find the probability of etting a red ball . b . ) Find the probability of getting a blue ball . C . ) Find the odds for getting a red ball . d . ) Find the odds for getting a blue ball . 7 . ( 10 points ) A baseball team has a 25 - man roster . A batting order has nine people . How many different batting orders are there ?8. (10 points) The Ohio lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number. If the four nun $2,500. What is your expected value? r numbers come up in the order you picked, then you win 9. (10 points) Suppose a random variable, x, arises from a binomial experiment. If n = 23, and p= 0.22, find the following probabilities using technology. a.) P (x =21) b.) P(x = 6) c.) P(x = 12) d.) Por =17) f.) P (x