Normal random variable
Assume X is normal random variable with µ = 30 and s = 2. Determine the values of following probabilities. (Round your answers to four decimal places.)
(a) P(X < 32)
(b) P(X > 25)
(c) P(29 < X < 33)
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A survey found in a sample of 75 families, 26 owned dogs. A survey 15 years ago found in a sample of 60 families, 26 owned dogs. At ? = 0.05, has the proportion of the dog owners changed over the 15 year period?
Determine total daily cost of producing x picnic tables. How many picnic tables can be made for the total weekly cost of $4, 800?
The planet's orbit follows the path described by 16x^2+4y^2=64. The comet follows parabolic path y=x^2-4. Where might comet intersect orbiting planet?
A random sample of 50 students' results found that they employed a mean of 476 cups with ? = 42 cups. At ? =0.01, is there sufficient evidence to conclude that the mean differs from 500?
Assume we are standing on top of the 300ft tower and we are holding the shiny new penny. We don't hurl it down, for that would be wrong.
If one moves 16 metres away from tallest tree in the garden, top of the tree will be seen under angle pi/3. How far from tree one can see its top at angle pi/6?
At ? = 0.01, is there enough evidence to support researcher's claim? A Probability plot and box plot showed that both variables are distributed normally as well as have no outliers.
Kendall is riding on the Ferris wheel. She observes that it takes 49 seconds to make the complete revolution. Her seat is 31 feet from axle of wheel. Use formula v=rw to determine the linear velocity in feet per second.
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