Question Note: Submit only problems #1(c), #2(d), #3, #4, #5(c) and #6 for grading. However, you are responsible for all the problems for quiz and midterms. Problem #1 (15 points) Suppose two dice are tossed and the numbers on the top faces are recorded. What is the probability that: (a) a 4 was tossed? (b) a prime number was tossed? (c) the sum of the numbers is less than 52 (d) the sum of the numbers is at least 7? Problem #2 (15 points) A box contains seven red balls and five black balls. Three balls are selected at random from the box. Compute the probability that (a) all three are red (b) at least two balls are black. (c) at most two balls are black. (d) at least one ball is red. Problem #3 (20 points) What is the conditional probability that a randomly generated bit string of length four contains at least two consecutive Os, given that the first bit is a 1? (Assume the probabilities of a 0 and a 1 are the same.) Problem #4 (15 points) Let E be the event that a randomly generated bit string of length three contains an odd number of Is, and let F be the event that the string starts with 1. Are E and F independent? Problem #5 (15 points) Assume that the probability a child is a boy is 0.51 and that the sexes of children born into a family are independent. What is the probability that a family of five children has: (a) exactly three boys? (b) at least one boy? (c) at least one girl? (d) all children of the same sex? Problem #6 (20 points) What is the expected sum of the numbers that appear on two dice, each biased so that a 3 comes up twice as often as each other number?

The Huntington Boys and Girls Club is conducting a fundraiser by selling chili dinners to go. The price is $7.00 for an adult meal and $4.00 for a child's meal. Write a program that accepts the number of adult meals ordered and then children's meals ordered. Display the total money collected for adult meals, children's meals, and all meals. An example of the program is shown below: Enter number of adult meals ordered >> 10 Enter number of child meals ordered >> 5 10 adult meals were ordered at 7.0 each. Total is 70.0 5 child meals were ordered at 4.0 each. Total is 20.0 Grand total for all meals is 90.0

Miss Candy tells you of a discussion she had recently with Professor Hamper where she repeated the need to produce up to the company’s maximum capacity of 70,000 doses. Miss Candy mentioned that there is a potential request for an extra 5,000 dose with the selling price of $330. Professor Hamper immediately rejected the order as the company would make a loss on that order. However, she would be prepared to sell the dose on a cost basis for $340 each, provided the order was increased to 15,000 doses. Additional information: Usual selling price $340 Variable cost $211 Fixed cost $8,450,000.00 Provide Miss Candy the following information: (a) Computation of the change in profits from accepting the order for 5,000 doses at $330. (b) Computation of the change in profits from accepting an order for 15,000 doses at $340. (c) Indicate, with justification which proposal, if either, should be accepted. (d) Identification of 2 non-financial factors that should be considered before a final decision is made. (13 marks)

PYTHON The following output was written to illustrate the rolls of two dice. 000 roll 1 2 3 4 5 6 1 2 3 4 5 6 6 7 2 3 4 5 6 7 8 3 4 5 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 000 Complete the code with the statements that will create the above output. die1 =[1,2,3,4,5,6) rollChart = ["for o in range(8)]for i in range(8)] Complete code here!

Chapter 7 Inventories 383 EX 7-12 Periodic inventory by three methods OBJ. 2, 4 The units of an item available for sale during the year were as follows: Jan. 1 Inventory 1,000 units at $120 Feb. 17 Purchase 1,375 units at $128 July 21 V10 Nov. 23 Purchase 1,500 units at $136 Purchase 1,125 units at $140 There are 1,200 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost by (a) the first-in, first-out method; (b) the last-in, first-out method; and (c) the weighted average cost method.

PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating.† The following data show the rating for contrast ratio, resolution, and the overall rating for ten monitors tested using a 0–100 point scale. The highest rated monitor was the BenQ BL3201PH, with an overall rating of 87.ModelContrastRatioResolutionOverallRatingBenQ BL3201PH788987AOC U2868PQU988786NEC MultiSync PA322UHD848285Acer XB280HK787782Asus ROG Swift PG278Q658282AOC E1759Fwu577882Dell UltraSharp UZ2715H568381NEC MultiSync EA244UHD777579HP DreamColor Z27x478177Dell UltraSharp UZ2315H557076(a) Develop the estimated regression equation that can be used to predict the overall rating using the contrast ratio rating. (Round your numerical values to two decimal places. Let x1 represent the contrast ratio rating and y represent the overall rating.)ŷ =  (b) Develop the estimated regression equation that can be used to predict the overall rating using both the contrast ratio rating and the resolution rating. (Round your numerical values to two decimal places. Let x1 represent the contrast ratio rating, x2 represent the resolution rating, and y represent the overall rating.)ŷ =  (c) Predict the overall rating for a computer monitor computer that has a contrast ratio rating of 83 and a resolution rating of 72. (Round your answer to the nearest integer.)

answer using c pleaseanswer in c please 7.8 LAB 1-4: BankAccount struct Given main, build a struct called BankAccount that manages checking and savings accounts. The struct has three data members: a customer name (string), the customer's savings account balance (double), and the customer's checking account balance (double). Assume customer name has a maximum length of 20. Implement the BankAccount struct and related function declarations in BankAccount.h, and implement the related function definitions in BankAccount.c as listed below: • BankAccount InitBankAccount(char* newName, double amt1, double amt2) - set the customer name to parameter newName, set the checking account balance to parameter amt1 and set the savings account balance to parameter amt2. (amt stands for amount) • BankAccount SetName(char* newName, BankAccount account) - set the customer name • void GetName(char* customerName, BankAccount account) - return the customer name in customerName • BankAccount SetChecking(double amt, BankAccount account) - set the checking account balance to parameter amt • double GetChecking(BankAccount account) - return the checking account balance • BankAccount SetSavings(double amt, BankAccount account) - set the savings account balance to parameter amt • double GetSavings(BankAccount account) - return the savings account balance • BankAccount DepositChecking(double amt, BankAccount account) - add parameter amt to the checking account balance (only if positive) • BankAccount DepositSavings(double amt, BankAccount account) - add parameter amt to the savings account balance (only if positive) • BankAccount WithdrawChecking(double amt, BankAccount account) - subtract parameter amt from the checking account balance (only if positive) • BankAccount WithdrawSavings(double amt, BankAccount account) - subtract parameter amt from the savings account balance (only if positive) • BankAccount Transfer To Savings(double amt, BankAccount account) - subtract parameter amt from the checking account balance and add to the savings account balance (only if positive) 7.6 LAB 1-2: Vending machine Given two integers as user inputs that represent the number of drinks to buy and the number of bottles to restock, create a Vending Machine variable that performs the following operations: • Purchases input number of drinks • Restocks input number of bottles • Reports inventory Vending Machine.h contains the struct definition and related function declarations. Vending Machine.c contains related function definitions. A Vending Machine's initial inventory is 20 drinks. Ex: If the input is: 5 2 the output is: Inventory: 17 bottles 359452.2296058.qx3zqy7