Seeking assistance with 10 questions for basic statistics.Questions attached belowModule 1 - CaseIntroduction to ProbabilityCase AssignmentBy submitting this assignment, you affirm that it contains all original work, and that you are familiar with Trident University’s Academic Integrity policy in the Trident Policy Handbook. You affirm that you have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answers online, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. You affirm that the assignment was completed individually, and all work presented is your own.Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If the answer is in %, show two decimal places.Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document.During an economic downturn, Lanier Company is forced to lay off employees. The table below breaks down the layoffs: Being Laid OffNot Being Laid OffTotalManagers50235285Non-Managers125575700Total175810985What is the probability that an employee of Lanier is being laid off given that she/he is a non-manager? (3 pts)What is the probability that an employee selected at random is a manager? (3 pts)The following data set represents the average day temperature in Orange County, CA for December.Find the probability that a randomly selected day will have an average temperature of at least 60 ℉. (4pts)DEGREES (in Fahrenheit)4362654655654957604452644553614859634756Find the probability that a randomly selected day will have an average temperature of at least 60 ℉. (4pts)A survey was taken to determine the birthplace of a class of students in a statistics class. Below is the data set. GenderNumber of StudentsBirthplaceMale6San DiegoFemale10San DiegoMale12Los AngelesFemale8Los AngelesMale5San FranciscoFemale9San FranciscoWhat is the probability that a male student was born in Los Angeles? (3pts)What is the probability that a female student was born in San Diego? (3 pts)What is the probability of throwing one dice and getting the number greater than 5? (4pts)Two coins are tossed 100 times. Below is the data set: Two heads29One head45No head26What is the probability of getting two heads? (3pts)What is the probability of getting no head? (3pts)Broad Tire Manufacturing Company kept a record of the distance before a tire needed to be replaced. The table shows the results of 500 tires. Distance in milesLess than 25002500-55005501-8700More than 8700Frequency10105160225If a tire is bought from this company, what is the probability that it must be replaced with less than 2500 miles? (3pts)What is the probability that it will last more than 5500 miles? (3pts)Two golfers, Phillips and Woodson, play a golf match. The probability of Phillips winning the math is 56%. What is the probability that Woodson wins the match? (4pts)The percentage of grades obtained by a student in five tests is given below: Test12345% of Grades6580737959Find the probability of the student getting at least 70% in a test. (4pts)Find the probability of correctly answering the first 5 questions on a multiple- choice test by randomly guessing the answer. Each question has 4 possible answers. (4pts)One card is drawn from a deck of 52 cards, well-shuffled.Calculate the probability that the card will be an ace or a king. (3pts)Calculate the probability the card will be a queen. (3pts)

For this unit’s assignment, you will be performing variable analysis using a t-test. You are required to select type of t-test, (paired one-sample, two-sample). You will next find available data online, do not collect any data of your own. Some examples of available data online are prices for items, the price for apartments, or use the spreadsheet provided for analysis. A paired t-test can be used when you are comparing paired items. For example: A test taken by the same participants, in two different conditions Blood pressure taken from the same participants at two different times Price comparison for two stores, of matching items. A one-sample t-test can be used to example if the mean of a population is different from a hypothesized value. Comparing the mean of your sample to the known mean. For example: Comparing the mean blood pressure for males 55-65 years old who work out at least 5 hours per week to the population mean blood pressure for males 55-65 A two-sample t-test is used to compare two population means are equal or different. It is a comparison of two means. For example: The mean price for gas in NY and the mean price for gas in FL The mean decreases in blood sugar for two different blood sugar medications. Criteria for using a t-test If the sample size is less than 15, a t-test is permissible if the sample is roughly symmetric, single peak, and has no outliers. If the sample size is at least 15, a t-test can be used to omit outliers or strong skewness. With a larger sample, the t-test can be used even if skewed distribution if the sample is greater than 30, but less than 10% of the population