Question On a typical day at a local popular mall, the number of shoplifters caught by mall security fluctuates from day to day, with an average of 6.8 caught per day. Suppose you are to count the number of shoplifters apprehended at this mall today. (Assume today is a typical day at the mall.) Part (a) Compute the probability that mall security apprehended 9 shoplifters. (use four decimals in your answer) Part (b) Compute the probability that mall security will apprehend at least 5 shoplifters. Enter your answer to four decimals. Part (c) Compute the probability that between 5 and 13 (inclusive) shoplifters will be apprehended. Enter your answer to four decimals. ! Part (d) Think about the distribution of the number of shoplifters mall security apprehends on a typical day. What can you say about this distribution? Select the most appropriate reason below. O A. The distribution of values is skewed to the right, with a mean of 6.8 shoplifters and a variance of 2.60768096208106 shoplifters. OB. The number of shoplifters apprehended each day is 6.8. OC. The distribution of values is roughly symmetrical, with a mean of 6.8 shoplifters and a variance of 2.60768096208106 shoplifters? OD. The distribution of values is skewed to the right, with a mean of 6.8 shoplifters and a standard deviation of 2.60768096208106 shoplifters. O E. The distribution of values is roughly symmetrical, with a mean of 6.8 shoplifters and a standard deviation of 2.60768096208106 shoplifters. Part (e) On a typical day, the mall is open from 10:00am to 9:00pm, a total of 11 hours. You are interested in the number of shoplifters apprehended in any given hour. How many shoplifters would you expect mall security to catch in any given hour? Provide the variance of this count as well. = ! (use three decimals in your answer) ! (use three decimals in your answer)

Question Help A searchlight is shaped like a paraboloid of revolution. If the light source is located 2 feet from the base along the axis of symmetry and the opening is 10 feet across, how deep should the searchlight be? The searchlight should be feet deep. (Type an exact answer in simplified form.)

A license plate consists of 4 letter followed by 3 digits. How many license plates are possible if the first digit cannot be 0, and letters and digits may repeat? A. 284,765,625 B. 456,976,000 C. 331,562,500 D. 333,135,504 E. 411,278,400

Pelcher Company maintains a $425 petty cash fund, On January 31, the fund replenished. The accumulated receipts on that date represent $115 for office supplies. $150 for merchandise inventory, and $75 for miscellaneous expenses. There is a cash overage of $9. Based on this information, the amount of cash in the fund before the replenishment is Multiple Choice $340 O $125 a $85 576 $94

Find the overlapping area that is common to both polar functions r = 3 + 2sine and r = 2. O 10.370 O 6.283 O 4.087 O2.196 Question 2(Multiple Choice Worth 1 points) (09.06 MC) What is the area of one petal of the rose curve r = 3cos30? 2 O O O Зл 2 3π 4 RIN Find the overlapping area that is common to both polar functions r = 3 + 2sine and r = 2. O 10.370 O 6.283 O 4.087 O2.196 Question 2(Multiple Choice Worth 1 points) (09.06 MC) What is the area of one petal of the rose curve r = 3cos30? 2 O O O Зл 2 3π 4 RIN

A) Which protein bands in the autoradiograph ( Figure B ) Correspond to cadherin and which correspond to a protein that binds to cadherin? Explain your answer ( 2 marks ) B) Which segment of cadherin is responsible for binding to other proteins? ( 2 marks ) C) with what is known about cadherin complexes, speculate on the possible identity of the immunoprecipitated proteins ( 1 mark) Question 2 Not yet answered Marked out of 5.00 A researcher is interested in the proteins that E-cadherin binds to. She expresses full-length E-cadherin as well some truncated constructs of the protein in a mouse cell line that does not express any other cadherins. The scheme of constructs is shown in figure A. (E represents the extracellular domain, TM the transmembrane domain and C the cytoplasmic domain). She labels the cells with 355 methionine for 16 hours, homogenizes them in detergent, and an antibody raised against the extracellular domain of the cadherin E-cacherin to pull-down (co- immunoprecipitate) E-cadherin and any associated proteins. She then analyses the immune precipitates by electrophoresis by SDS-PAGE, followed by autoradiography to make the labelled proteins visible. In lane 1 of figure B, the antibody precipitates three major proteins in cells transfected with a plasmid expressing the full-length intact cadherin. These proteins are not precipitated from untreated control cells. E p Flag question H2N A TM C COOH 553aa +24 aa 151 a. Full-length 37 aa E-Cad A37 TTTT 18 E-Cad 48 31 aa Tii E-Cad A31 70 a.a E-Cad A70 105 aa E-Cad A105 B kd 200 Full-length E-Cad 137 E-Cad 18 E-Cad A31 E-Cad 170 E-Cad 105 control 97 - 67 - 45 - 1 2 3 4 5 6 7

A researcher is interested in the proteins that E-cadrerin binds to. She expresses full-length E-cadherir as well some truncated constructs of the protein in a mouse cell line that does not express any other cadherins. The scheme of constructs is shown in figure A (E represents the extracelular comair, TM the transmembrane domain and C the cytoplasmic A researcher is interested in the proteins that E-cadrerin binds to. She expresses full-length E-cadherir as well some truncated constructs of the protein in a mouse cell line that does not express any other cadherins. The scheme of constructs is shown in figure A (E represents the extracelular comair, TM the transmembrane domain and C the cytoplasmic domain). She labels the cells with 35 methionine for 16 hours, homogenizes them in detergent, and an antibody raised against the extracellu ar domain of the cacherin C-cacherin to pull-down (co- immunoprecipitate) C-cadherin and any associated proteins. She then analyses the immune precipitates by electrophoresis by SDS-PAGC, followed by autoradiography to make the labelled proteins visible. In lane 1 of figure B, the antibody precipitates three major proteins in cells transfected with a pasmid expressing the full-length intact cadherin. These proteins are not precipitated from untreated control cells. H₂N E TM C A COOH 553aa 24 a aa m B kd 200 - 97 - 67- 45- www. m Full-length 31 aa 70 aa 105 aa 151 aa 37aa E-Cad 437 E-Cad 48 E-Cad 431 E-Cad 470 E-Cad 105 control 1 2 3 4 5 6 7 Full-length E-Cad 437 E-Cad 48 E-Cad 431 E-Cad 470 E-Cad A105 a. Which protein bands in the autoradiograph (Figure B) correspond to cacherir and which correspond to proteins that bind to cadherin? Explain your answer. (2 marks) b. Which segment of cadherin is responsible for binding to other proteins? (2 marks) c. With what is known about cadherin complexes, speculate on the possible identity of the immunoprecipitated proteins. (1 mark)