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Q.#2) The waiting time for an incoming call at the front desk of mathematics Department follows an exponential distribution. During business hours, the average of the waiting times is 10 minutes.(a) What is the cumulative distribution function and the variance of the waiting time?(b) What is the probability that the first call after 9:30 a.m. is between 9:45 a.m. and 9:55 a.m.?(c) If there is no call between 9:30 a.m. and 9:45 a.m., what is the probability that there will be no call between 9:30 a.m. and 9:55 a.m.?
Q.#3 A football coach recorded in the practice sessions how many attempts were needed for a certain player to kick a field goal from the 25-yard line, and got the following numbers3 3 1 4 2 1 1 2 3 2Assuming that the outcomes of the attempts are independent,(a) What is the distribution of the number of attempts needed for the player to kick a field goal? What is the parameter of the distribution?(b) Using the method of moments, estimate the probability that the player kicks a field goal at an attempt.Q.#5) The sizes of 15 California earthquakes are given below.6.8 6.6 7.5 6.2 6.5 7.1 8.3 5.9 6.1 6.9 7.0 6.2 5.9 6.3 7.3(a) Assuming normal distribution for the size of the earthquakes, estimate theparameters of the normal distribution using the method of the moments.(b) Find a 95% confidence interval for the mean size.
Attachment:- calc.rar
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..
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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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