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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.
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
The bucket is filled with 43 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your ans..
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
a patient is given a dosage q of a drug at regular intervals of time t. the concentration of the drug in the blood has
Calculate monthly deposits necessary to accumulate $13,800 after 5 years in account earning 6.75% compounded monthly?
Use Excel to perform polynomial interpolation on the given data and try to figure out the degree of the polynomial mathematically - perform polynomial interpolation on the following data.
find a research report that uses experimentation.write a 1050- to 1400-word critique on that experiment.describe the
properties of triangles -sine rule.a weather balloon b lies directly over a 1000-meter airstrip extending from a to c.
What are the co-ordinates of the point of intersection of lines M and N? Write the co-ordinates of the intersections of lines M and N with the x-axis. Write the co-ordinates of the intersection of lines M and N with the y-axis.
Questions related on mathematics in computing.
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.
Express the temperature of the roast 30 minutes after being placed in the oven in function notation and then calculate that value.
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