The lengths of pregnancies for tigers is normally distributed with a mean of 100 days with a standard deviation of 11 days,  Find the following: a.  What is the probability that a randomly selected tiger will have a pregnancy that last less than 94 days? Round your answer to 4 decimal places. [answer1] b.  If we take a random sample of 12 tigers, what is the probability that the mean length of their pregnancies will last less than 94 days? Round your answer to 4 decimal places. [answer2] c. What length (number of days) of pregnancy for a sample of 12 tigers would correspond to the 95th percentile for the mean length of tiger pregnancies’ for a sample of 12? Round your answer to 2 decimal places. [answer3]

Do you understand that all of the following are required when taking a Honorlock quiz or exam? Environment Requirements A reliable internet connection is required for quizzes and exams. You are required to complete a webcam scan of your workspace where you will take the quiz or exam each time you take a proctored quiz or exam. A “workspace” is defined as your desk or tabletop, the walls that you are facing and next to you, including the monitor screen.  Workspace Scan Tutorial Video No other person is allowed to be in the same room while you are taking the proctored quiz or exam. The lighting in the room must be bright enough to be considered “daylight” quality. Overhead lighting is recommended. If overhead lighting is not available, the source of light must not be behind you. Webcam should be focused on the test taker and placed on a stable surface so that it will have a steady and uninterrupted view of the test taker.  Both of your hands must remain fully in view of the camera the entire time (except for the short time you are answering questions or switching between questions on Canvas). See the YouTube video below. Your microphone must remain turned on at all times. Sit at a clean desk or table. No writing on the desk or walls around you. The room should be as quiet as possible; hence no music or television will be permitted. No headphones or earbuds are allowed. You must not have listening devices in your ears. No wearing anything on your head — such as hats or hoodies that cover your ears. No smart glasses are allowed. The following items are not allowed to be on your desk or used during your proctored quiz or exam: Books Textbooks Notebooks Phones and other devices TI-84 Plus or TI-83 Plus is allowed on your tabletop to use. Your calculator must be at least partially in view of the camera at all times. The textbook Formula/Table card will be attached at the end of your quiz/exam for you to use. This Formula/Table card can be found in MyLab and Mastering, click on the left tab bar “Video & Resource Library,” click on “Learning Tools,” and in the middle of the page, under “Review,” you will see a link “View the Formula/Table Card from your textbook.” A blank 8.5” by 11” paper and pencil may be used for the purpose of scratch work only. You are not allowed to copy the questions of the quiz or exam on this piece of paper. If you choose to use a scratch paper, you must show this paper front and back in front of the webcam when you are asked to scan your desk and walls. Right after you complete the exam, you must show the used scratch paper front and back in front of the webcam before ending your quiz or exam. Please be aware that repeated exiting and restarting of an exam in Honorlock can appear unusual in the system and may be flagged as academic dishonesty.  Honorlock records all activity and any activity that seems out of the ordinary may be reviewed.  While I understand that occasional technical issues may happen, students should plan to complete their exam in one session without exiting Honorlock. If you do not follow the above rules your exam may not be scored and receive a grade of zero. NOTE: If you cannot meet these environment requirements or you are in a non-ideal environment, contact your professor.

Environment Requirements A reliable internet connection is required for quizzes and exams. You are required to complete a webcam scan of your workspace where you will take the quiz or exam each time you take a proctored quiz or exam. A “workspace” is defined as your desk or tabletop, the walls that you are facing and next to you, including the monitor screen.  Workspace Scan Tutorial Video No other person is allowed to be in the same room while you are taking the proctored quiz or exam. The lighting in the room must be bright enough to be considered “daylight” quality. Overhead lighting is recommended. If overhead lighting is not available, the source of light must not be behind you. Webcam should be focused on the test taker and placed on a stable surface so that it will have a steady and uninterrupted view of the test taker.  Both of your hands must remain fully in view of the camera the entire time (except for the short time you are answering questions or switching between questions on Canvas). See the YouTube video below. Your microphone must remain turned on at all times. Sit at a clean desk or table. No writing on the desk or walls around you. The room should be as quiet as possible; hence no music or television will be permitted. No headphones or earbuds are allowed. You must not have listening devices in your ears. No wearing anything on your head — such as hats or hoodies that cover your ears. No smart glasses are allowed. The following items are not allowed to be on your desk or used during your proctored quiz or exam: Books Textbooks Notebooks Phones and other devices TI-84 Plus or TI-83 Plus is allowed on your tabletop to use. Your calculator must be at least partially in view of the camera at all times. The textbook Formula/Table card will be attached at the end of your quiz/exam for you to use. This Formula/Table card can be found in MyLab and Mastering, click on the left tab bar “Video & Resource Library,” click on “Learning Tools,” and in the middle of the page, under “Review,” you will see a link “View the Formula/Table Card from your textbook.” A blank 8.5” by 11” paper and pencil may be used for the purpose of scratch work only. You are not allowed to copy the questions of the quiz or exam on this piece of paper. If you choose to use a scratch paper, you must show this paper front and back in front of the webcam when you are asked to scan your desk and walls. Right after you complete the exam, you must show the used scratch paper front and back in front of the webcam before ending your quiz or exam. Please be aware that repeated exiting and restarting of an exam in Honorlock can appear unusual in the system and may be flagged as academic dishonesty.  Honorlock records all activity and any activity that seems out of the ordinary may be reviewed.  While I understand that occasional technical issues may happen, students should plan to complete their exam in one session without exiting Honorlock. If you do not follow the above rules your exam may not be scored and receive a grade of zero. NOTE: If you cannot meet these environment requirements or you are in a non-ideal environment, contact your professor.  

The lengths of pregnancies for tigers is normally distributed with a mean of 100 days with a standard deviation of 8 days,  Find the following: a.  What is the probability that a randomly selected tiger will have a pregnancy that last less than 94 days? Round your answer to 4 decimal places. [answer1] b.  If we take a random sample of 10 tigers, what is the probability that the mean length of their pregnancies will last less than 94 days? Round your answer to 4 decimal places. [answer2] c. What length (number of days) of pregnancy for a sample of 10 tigers would correspond to the 95th percentile for the mean length of tiger pregnancies’ for a sample of 10? Round your answer to 2 decimal places. [answer3]  

The lengths of pregnancies for tigers is normally distributed with a mean of 100 days with a standard deviation of 13 days,  Find the following: a.  What is the probability that a randomly selected tiger will have a pregnancy that last less than 94 days? Round your answer to 4 decimal places. [answer1] b.  If we take a random sample of 12 tigers, what is the probability that the mean length of their pregnancies will last less than 94 days? Round your answer to 4 decimal places. [answer2] c. What length (number of days) of pregnancy for a sample of 12 tigers would correspond to the 95th percentile for the mean length of tiger pregnancies’ for a sample of 12? Round your answer to 2 decimal places. [answer3]

The lengths of pregnancies for tigers is normally distributed with a mean of 100 days with a standard deviation of 7 days,  Find the following: a.  What is the probability that a randomly selected tiger will have a pregnancy that last less than 94 days? Round your answer to 4 decimal places. [answer1] b.  If we take a random sample of 9 tigers, what is the probability that the mean length of their pregnancies will last less than 94 days? Round your answer to 4 decimal places. [answer2] c. What length (number of days) of pregnancy for a sample of 9 tigers would correspond to the 95th percentile for the mean length of tiger pregnancies’ for a sample of 9? Round your answer to 2 decimal places. [answer3]  

Given the following table on the number of shows you have watched on Netflix in a week: Round your answers to 2 decimal places for all numeric answers x = number of Netflix shows watched per week P(x) 0 0.06 1 0.32 2 0.25 3 0.11 4 0.12 5 0.10 6 0.04 a.  What is the mean for the number of netflix shows watched per week? [answer1] b. What is the standard deviation of the number of netflix shows watched per week? [answer2] c.  Using the table above, what is the probability that a person watches exactly 3 Netflix shows per week? [answer3] d. Using the table above, what is the probability that a person watches 3 or 4 Netflix shows per week? [answer4] e.  If you pick 100 people, how many of them would you expect to watch 3 or 4 Netflix shows per week? [answer5]

According to an Almanac, 20% of teens have tried smoking or vaping,  If we take a random sample of 30 teens, find the following probabilities: (round your answers to 3 decimal places a.  What is the probability that exactly 7 of the teens have tried smoking or vaping? [answer1] b.  What is the probability that at most 7 of the teens have tried smoking or vaping? [answer2] c.  What is the probability that at least 7 of the teens have tried smoking or vaping? [answer3] d. What is the probability that between 5 and 10 (inclusive) of the teens have tried smoking or vaping? [answer4]

You may upload your scratch paper here

An automotive researcher wanted to estimate the difference required to come to a complete stop while traveling 40 miles per hour on wet versus dry pavement. Because car type plays a role, the researcher used eight different cars with the same driver and tires.  The braking distance (in feet) on both wet and dry pavement is shown in the table below. Conduct the appropriate hypothesis test to determine if the braking distance on the wet surface is longer from the braking distance on the dry surface. Use a 0.05 level of significance.  Note:  a normal probability plot of the data indicate that the differences are approximately normally distributed with no outliers.  This is a matched pairs problem.   Car 1 2 3 4 5 6 7 8 Wet 106 100 108 111 105 105 110 107 Dry 71 68 74 73 75 75 75 81   a.