A) What will a spring scale read for the weight of a 54-kg woman in an elevator that moves upward with constant speed 5.0 m/s?

B) What will a spring scale read for the weight of a 54-kg woman in an elevator that moves downward with constant speed 5.0 m/s?

C) What will a spring scale read for the weight of a 54-kg woman in an elevator that moves upward with acceleration 0.35g?

D) What will a spring scale read for the weight of a 54-kg woman in an elevator that moves downward with acceleration 0.35 g ?

E) What will a spring scale read for the weight of a 54-kg woman in an elevator that moves in free fall?

Use R to tackle the following problem

. A box initially contains 8 blue balls and 4 red balls. Terry closes his eyes and randomly picks a ball and then follows the following procedure: if it is a blue ball, he puts the blue ball back in, and also adds another blue ball; if it is a red ball, then he removes the red ball from the bin and in addition, removes another red ball. Suppose you did not see what Terry did and close your eyes and pick a ball at random and it is red; then what is the probability that Terry picked a blue ball?

Chicago is a group dice game that requires no skill. The objective of the game is to accumulate points by rolling certain combinations (GamezBuff, 2017). How do you play Chicago? There are eleven rounds in the game, one for each combination that can be made by adding two dice, namely the numbers two through 12. Each round has a target combination starting with two and going up all the way to 12. Going clockwise, the players take turns to roll both dice one time. If players roll the target combination, then they score points equal to the target combination, otherwise they score zero. For example, if the round corresponds to target combination six, then the player scores six points if the two dice add up to six. Else, the player scores no points. The player with the highest score at the end of the eleventh round wins the game.

What is the probability that the player rolls the target combination given that he/she rolled a one?

Chicago is a group dice game that requires no skill. The objective of the game is to accumulate points by rolling certain combinations (GamezBuff, 2017). How do you play Chicago? There are eleven rounds in the game, one for each combination that can be made by adding two dice, namely the numbers two through 12. Each round has a target combination starting with two and going up all the way to 12. Going clockwise, the players take turns to roll both dice one time. If players roll the target combination, then they score points equal to the target combination, otherwise they score zero. For example, if the round corresponds to target combination six, then the player scores six points if the two dice add up to six. Else, the player scores no points. The player with the highest score at the end of the eleventh round wins the game.

1. What is the probability that the player rolls the target combination?

1. An elevator accident occurred with 16 people inside. The capacity will be exceeded if 16 people have a mean weight greater than 154 pounds. Assume weights of people are normally distributed with a mean of 172.4 pounds and a standard deviation of 25.8 pounds. What is the probability the capacity will be exceeded with 16 random people in the elevator?
Round answer to 4 decimal places.

2. In a study of the health effects of cigarettes, a random sample of 32 filtered cigarettes was obtained and the tar content was measured. The sample has a mean of 19.2 mg. Given that the tar content of cigarettes have a mean of 20.1 mg and a standard deviation of 3.15 mg, what is the probability that 32 filtered cigarettes have a mean of 19.2 mg or less?
Round answer to 4 decimal places.

3.The scores on a test are normally distributed with a mean of 60 and standard deviation of 3. What is the probability that a sample of 55 students will have a mean of at least 60.3162? Round your answer to 4 decimal places.

4.A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation of 1.8 hours. If 38 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours. Round your answer to 4 decimal places.

5.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 82 inches, and a standard deviation of 9 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 85.2 inches?

A pendulum clock in an elevator ticks with a period of T=1.7 s when the elevator is at rest. The elevator starts to move and the period increases to Tnew = 1.87 s.

1. How is the elevator moving? Select the correct answer:

a) accelerating, upward

b) accelerating, downward

c) constant speed, upward

d) constant speed, downward

2. Identify the correct acceleration for the elevator. You must show your work to get credit for your selection.

a) 1.7 m/s^2

b) -0.89 m/s^2

c) 2.06 m/s^2

d) 0.89 m/s^2

e) -1.7 m/s^2

Consider this discrete Bertrand model, but assume that each student has a constant cost of 5 that is deducted from all payoffs. So whoever has the low number wins their number, minus 5. Whoever has the high number loses 5 total. In the event of a tie, each student wins an amount equal to their number divided by two, then minus five. Find any Nash equilibria in this game. Explain your reasoning. Hint: It is perfectly fine for both players to have losses in equilibrium! There are more than 1 Nash equilibria.

The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 1.3 m/s . It then slows to a stop, while the cylinder turns one complete revolution.

How long does it take for the elevator to stop?

The cable lifting an elevator is wrapped around a

1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.6 m/s . It then slows to a stop, while the cylinder turns one complete revolution.

How long does it take for the elevator to stop?