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Consider an experiment which consists of 2 independent coin-tosses. Let the random variable X denote the number of heads appearing. Write down the probability mass function of X.
There are 10 balls in an urn numbered 1 through 10. You randomly select 3 of those balls. Let the random variable Y denote the maximum of the three numbers on the extracted balls. Find the probability mass function of Y . You should simplify your answer to a fraction that does not involve binomial coefficients. Then calculate: P[Y ≥ 7].
A fair die is tossed 7 times. We say that a toss is a success if a 5 or 6 appears; otherwise it's a failure. What is the distribution of the random variable X representing the number of successes out of the 7 tosses? What is the probability that there are exactly 3 successes? What is the probability that there are no successes?
The number of misprints per page of text is commonly modeled by a Poisson distribution.It is given that the parameter of this distribution is λ = 0.6 for a particular book.
Find the probability that there are exactly 2 misprints on a given page in the book. How about the probability that there are 2 or more misprints?
on august 31 2010 a company purchased 10000 shares of stock for 30 per share. management recorded the stock in the
A motorboat travels 469km in 7 hours going upstream. It travels 493km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
A student and a professor each choose a number between 1 and 5 (1 and 5 are both possible choices). What is the probability that the two choose the same number?
How many different experiments would need to be run to cover all of the permutations?
A 292 foot television cable is to be cut into four pieces. Find the length of each piece if each successive piece is 2 feet longer than the previous one.
a mathematics teacher collects old books. a student asked him how many books he had. he said if i divide the books into
Writ a polynomial function that represents the possible area of the rectangular design in terms of the with of the border.
what would be the force required to push a 100 pound object along a ramp that is inclined 10 degree with the horizonal.
How might you involve children in learning geometric concepts? Which geometric concept do you think will be most difficult for children to learn and why?
If 4 Americans, 3 Frenchmen and 3 Englishmen are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
There are 256 students in this outstanding 8th grade class. How many scoops of ice cream would have to be used in each cone in order to make a different cone for each person?
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