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A student is randomly selected from a group of elementary school students. There are 10 six-year old students, 12 seven-year old students, 6 eight-year old students, 4 nine-year old students, and 8 ten-year old students. a) Construct a probability distribution for the age of a randomly selected student. b) Determine the expected value of the variable (same as the mean). 2) a) Determine the missing probability from the distribution shown below. b) Determine the expected value of the variable (same as the mean). x 0 1 2 3 4 5 P(x) 0.1 0.35 0.2 0.18 ? 0.05 3) Is the random variable discrete or continuous? a) the number of births at a given hospital in one day. b) the amount of water in a tub sitting outside during a storm. 4) Identify the shape of the binomial probability distribution for n = 10, and given success probability: a) p = 0.25 b) p = 0.9 For Problem numbers 5 through 7: Eight students are randomly selected from the students at a large high school. One-third of the students in the school are freshman. The remaining two-thirds are not. 5) a) Explain why this experiment can be considered to be a binomial probability experiment. b) Identify a "success" and specify the values of n, p, and q. 6) a) Construct a probability distribution for the number of randomly selected freshmen. b) Determine the expected value of the variable (same as the mean). 7) a) Determine the probability that at least one of the eight students are freshmen. b) Determine the probability that at least two of the students are freshman.
At a basketball game, a vender sold a combined total of sodas and hot dogs. The number of sodas sold was more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Find the work done by this force along the following two curves, both which go from (0, 0) to (6, 36). Please see the attached file for the fully formatted problems. Find the work done by this force along the following two curves, both which go from ..
A jeweler has three small solid spheres made of silver, of radius 6 mm, 3 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Differentiable function on the interval.
Consider all right circular cylinders for which the sum of the height and circumference is 30 centimeters. What is the radius of one with maximum volume.
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
A trough is to be made with an end of the dimensions shown. The length of the trough is to be 21ft long. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
Products that would be used in calculating GDP include
Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
Suppose that f is surjective. Is g ? f surjective?
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