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In given Example, we added the probabilities of X = 1 and X = 2 because they were mutually exclusive events. For any discrete random variable X, is it always true that X = k and X = m are mutually exclusive events, where k and m represent two values that X can have? Explain.
Example What is the probability that a family with three children will have at least one child of each sex? In given Example, we defined the random variable X = number of girls in three children. If there is at least one child of each sex, then either the family has one girl and two boys (X = 1) or two girls and one boy (X = 2).
Example Probability Distribution Function for Number of Girls Suppose that a family has three children and that the probability of a girl is 1/2 for each birth.1 Define the random variable X = number of girls among the three children. Possible values for X are 0, 1, 2, 3. What are the probabilities for these values?
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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