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Question 1: The temperature in January is estimated to have a mean of 34 and a standard deviation of 6, in degrees Fahrenheit. Sally estimates that her heating bill can be predicted using the following formula:
X = 300 - 5 × temp,
Where temp is temperature. Find how much she is expected to pay in January. Moreover, obtain the variance and standard deviation of the heating bill.
Question 2: An instructor graded a large number of midterm exams and she considers that the test scores are normally distributed with a mean of 70 and a standard deviation of 10.
(a) What is the portion of students obtaining scores between 85 and 95?
(b) What is the score needed to be at the top 10% of the class?
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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