The elevator starts from rest at the first floor of the building and comes to a complete stop at the 6th floor. It can accelerate at 6 ft/s² and then decelerate at 2 ft/s² Determine the shortest time is takes to reach the 6th floor, which is 60 ft above the ground. Draw the v?t and s?t graphs for the motion of the elevator.

A 679-kg elevator starts from rest and moves upward for 3.30 s with constant acceleration until it reaches its cruising speed, 1.63 m/s. (a) What is the average power of the elevator motor during this period? (b) How does this amount of power compare with its power during an upright trip with constant speed?

A con artist created a coin to swindle people from their money. If the people playing against the con artist gets heads, they win. A police officer is guessing whether the person is a con artist or not. After playing 100 times (assume this is large enough), the policeman wins 40 times.

a) Construct a hypothesis test of your choice and argue whether the coin toss game is fair for the policeman (fair meaning p=0.5). Choose a significance level of 0.05, make it a one-sided test, and calculate the p-value for your sample estimate. State clearly the conclusion of your test based on the context of the problem.

b) What is the probability that your test gives you the correct conclusion when the true probability of getting heads/win is 0.47?

c) How would you conduct the test if the number of times the policeman played was only 4? Explain without running your test again but sketch how would you calculate the probabilities. Choose a hypothetical estimate if you need to.

Problem 16-07 (Algorithmic)

Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves are playing the Minnesota Twins in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

1. Set up a spreadsheet simulation model in whether Atlanta wins each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.
   
   
   
2. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.
   

Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.
What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

a. Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.

b. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Three men were being interrogated by FBI agents. The agents believed that one of them had left a federal office with 20 lb of top-secret documents under his coat, gone down the freight elevator, and slipped into a waiting getaway car. All three admitted to having stood on a scale kept in the freight elevator to weigh incoming shipments, and made the following statements:

Suspect A said, “The scale read my normal body weight only while the elevator was just starting to descend.”

Suspect B said, “I only got on the scale for a few seconds about halfway down. It seemed to read my normal body weight.”

Suspect C said, “When the elevator was coming to a stop, the scale read about 20 lb more than my normal body weight.”

If all three men are telling the truth, who should the agents arrest?

Suspect A Suspect B Suspect C None of the suspects.

Explain your reasoning.

Design a modular program that accepts as input 20 numbers between 0 and 100 (including 0 and 100). The program should store the numbers in an array and then display the following information:

• The lowest number in the array

• The highest number in the array

• The total of the numbers in the array

• The average of the numbers in the array

Your program should consist of the following:

Module main. Accepts input of numbers and assigns them to an array. The array is traversed in order to find the highest number, lowest number, total and average of the numbers.

Module showStats. Displays the highest number, lowest number, total and average of the numbers.

Expected Input/Output

Please enter 20 numbers between 1-100:

64

93

12

45

85

.

.

.

27

43

2

The lowest number in the array is: 1

The highest number in the array is: 95

The total of the numbers in the array is: 811

The average of the numbers in the array is: 40.55

The solution should be in Java. Thank you

Write in C programming using if and else statements only please!!!

Write a program that plays the following card game: The user starts out with a pot of $100. At each hand of the game, the dealer and the player are dealt a random number between 1 and 52. The player wins $20 if his/her number is greater than the dealer's number; otherwise they lose $20.

(a) Two teams, A and B, are playing in the best-of-7 World Series; whoever gets to 4 wins first wins the series. Suppose the home team always has a small advantage, winning each game with probability 0.6 and losing with probability 0.4. Also assume that every game is independent. What is the probability that team A will win the series in exactly 6 games if the series is played in the following format: A–A–B–B–B–A–A, meaning that the first two games are played on team A’s field, followed by three games on team B’s field, and the final two games back on team A’s field?

[Note: Do not use the negative binomial straight up. You will run into trouble, because in this case, the winning probability shifts from one team to the other depending on who has the home field advantage.]

(b) You’re a huge Boston Red Sox fan, and in the current1 best-of-7 World Series they have a probability of p = 0.4 of winning each game. After the Sox lose Game 1, you get so inebriated that you sleep for two days, and miss the next two games. Upon awakening, you rush out to the street and ask the first person you see, “What happened in Games 2 and 3?” “They split them,” comes the reply. Should you be happy? In other words, how do the Sox’s chances of winning look now compared to after Game 1?