Assume an observer sent a beam of photons close to an event horizon, say at some distance x (a distance far enough to avoid the photons falling in.) This light would still be observable, albeit red shifted and with it's path curved appropriately. Now assume the black hole absorbs enough mass to expand it's event horizon beyond the distance x. This stream of photons would stop. Does the observer not have information about a process that occurred exactly at the event horizon, that is it's expansion? Isn't this a region that one should not be able to get any information about due to the fact that nothing could contact the event horizon and return to the observer?

7. A city claims that less than 50% of drivers favor using red light cameras. In a survey of 500 drivers, 47% say
they are in favor of red light cameras. Test the claim at the .01 level of significance (α=.01) using the p-value
method.

8. It is claimed that the mean repair cost for two models of washing machines are the same. The mean repair
cost for a sample of 24 Model A machines is $212. The mean repair cost for a sample of 26 Model B machines is
$221. Both populations are normally distributed. The population standard deviation of the Model A machines is
$18 and the population standard deviation of the Model B machines is $22. Test the claim at the .05 significance
level (α=.05). Use the traditional method.

7. A city claims that less than 50% of drivers favor using red light cameras. In a survey of 500 drivers, 47% say
they are in favor of red light cameras. Test the claim at the .01 level of significance (α=.01) using the p-value
method.

8. It is claimed that the mean repair cost for two models of washing machines are the same. The mean repair
cost for a sample of 24 Model A machines is $212. The mean repair cost for a sample of 26 Model B machines is
$221. Both populations are normally distributed. The population standard deviation of the Model A machines is
$18 and the population standard deviation of the Model B machines is $22. Test the claim at the .05 significance
level (α=.05). Use the traditional method.

A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events, and use them to find the conditional probabilities below.

A:{A:{ One of the balls is yellow }}
B:{B:{ At least one ball is red }}
C:{C:{ Both balls are green }}
D:{D:{ Both balls are of the same color }}

a) P(B¯¯¯¯|A)=

b) P(B¯¯¯¯|D)=

c) P(C|D)=

Suppose that E and F are events in the sample space with P(E∩F)=0.03, P(E|F)=0.1, and P(F|E)=0.2. Find the following probabilities.

a) P(E)=
b) P(F)=
c) P(E∪F)=

**Use Python 3.7.4 ***

1. Ask the user for the number of hours worked, salary per hour and compute their salary. They will make 1.5 times salary for every hour over 40.  

2. Write a program that asks the user for red, green, and blue color mixture (3 inputs); all or nothing - you can decide how to do this (0/1), (0/255), (none/all), (...). Then based on the combination display the final color: (white - 111, red - 100, green - 010, blue - 001, cyan - 011, magenta - 101, yellow - 110, black - 000)

3. Write a program and asks user for a phone number with area code. Must be formatted like this, " (###)-###-#### " the program should say whether or not it is in the valid format.

Write a PHP script that:

1) Has an associative array with 10 student names and test scores (0 to 100). ie. $test_scores('John' => 95, ... );

2)Write a function to find the Average of an array. Input is an array, output is the average. Test to make sure an array is inputted. Use ARRAY_SUM and COUNT.

3)Output the test scores highest to lowest, print scores above the average in Green. Find a PHP Sort function for associative arrays, high to low. <font color='green'>text</font>

4)Output the test scores lowest to highest, print scores below the average in Red. Find a PHP Sort function for associative arrays, low to high. <font color='red'>text</font>

Broad bank has received a banking license from the BDDK ( Banking regulation and Supervision Agency in Turkey) in May 2020 and will begin operating as a new bank in the deposit banking market in early 2021. Broad bank With the approval of the board of directors, you started to work as the deputy general manager responsible for the strategy as of June 01, 2020. General Manager Mr. Murat said at the meeting on the day after you started working: “First of all, I congratulate you for your new job and I believe that it will make a difference with your experience and experience. Obviously, our stakeholders have great expectations about Broad Bank; especially in the first few years, we need to achieve a successful market share in the national market. For this, we should use our resources effectively. What kind of resource use strategy do you think we should follow? ”
• First, describe what the basic skill is, why it matters, and what the basic skill can count, what cannot be counted?
• Write a few (hypothetically) examples of Broad Bank's assets, abilities and basic skills?
• Then explain what outsourcing is and what it does?
• In which areas do you suggest outsourcing to Mr. Murat for Broad Bank? Why?

Broad bank has received a banking license from the BDDK ( Banking regulation and Supervision Agency in Turkey) in May 2020 and will begin operating as a new bank in the deposit banking market in early 2021. Broad bank With the approval of the board of directors, you started to work as the deputy general manager responsible for the strategy as of June 01, 2020. General Manager Mr. Murat said at the meeting on the day after you started working: “First of all, I congratulate you for your new job and I believe that it will make a difference with your experience and experience. Obviously, our stakeholders have great expectations about Broad Bank; especially in the first few years, we need to achieve a successful market share in the national market. For this, we should use our resources effectively. What kind of resource use strategy do you think we should follow? ”
• First, describe what the basic skill is, why it matters, and what the basic skill can count, what cannot be counted?
• Write a few (hypothetically) examples of Broad Bank's assets, abilities and basic skills?
• Then explain what outsourcing is and what it does?
• In which areas do you suggest outsourcing to Mr. Murat for Broad Bank? Why?

(A) Is it possible for a photon to emerge when a bound Hydrogen atom changes its state from n = 6, ell = 3 to n = 3, ell = 2? If not, explain.

(B) Is it possible for a photon to emerge when a bound Hydrogen atom changes its state from n = 3, ell = 2 to n = 6, ell = 3? If not, explain.

(C) Is it possible for a photon to emerge when a bound Hydrogen atom changes its state from n = 2, ell = 3 to n = 6, ell = 3? If not, explain.

(D) Is it possible for a photon to emerge when a bound Hydrogen atom changes its state from n = 6, ell = 7 to n = 3, ell = 2? If not, explain.