This is a Alg2 assignment. I have attached the pdf to complete. This assignment came with a very short video presentation. You DO NOT have access to the video, so I have include the transcript of the video to help you complete. It is pretty simple and will not require more than an hour or so of time. Thank you in advance for accurate information. Attached is a pdf of the transcript of the video, then the actual questions that need to be answered.

A1. Week 3 Post (300+ words):Think of some discrete random variable you observe on a regular basis. For example, it could be the (rounded) number of hours you sleep, how many gallons of gas are in your car when you get into it, how many boxes of cereal are in your house, how many days between grocery shopping, etc. (just make sure it takes only integer values). Try to list all of the possible values that this discrete random variable can take. If you can, collect some frequency data – give the relative frequency table and use this as an estimate of the probability distribution. Calculate the expected value and the standard deviation for this probability distribution. Interpret these parameters, and discuss whether they make sense based on your experience.B1. Find the mean of the given probability distribution.2. Find the mean of the given probability distribution.The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows.5. Provide an appropriate response.In a game, you have a probability of winning and a probability of losing What is your expected value?6. Provide an appropriate response.A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?7. Find the indicated probability. Round to three decimal places.A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?8. Find the indicated probability. Round to three decimal places.A machine has 11 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.9. Find the indicated probability. Round to three decimal places.In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?10. Find the indicated probability. Round to three decimal places.Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events.

Please see attachment for question. The report should be no more than 3 pages.Keep the following in mind to maximize credit for your write-up:Answer all parts of the problem.Write your solution in your own words. Show your justification for every step in your solution, using clear, mathematically accurate language. You can use phrases to explain your reasoning from step to step, but clearly state your final conclusions using complete English sentences (for example, “Jill needs to add 43 gallons of water to her pool”).Label all numbers with the units they represent (e.g., 0.3048 ft/meter).Type your write-up in MS Word and try to use the Equation Editor so that your equations are clear.