Normal random variable with expected value
Suppose X is a normal random variable with expected value 7 and standard deviation 3. Then calculate the following porbabilities.
a) P(X <0)
b) P(6 < X < 9)
c) P(|X-6| <1)
d) P(|X-6|>1)
e) P(3X-1 > 20)
f) P(x^2 > 49)
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What is the critical value of z in the previous question? Report the critical value CLOSEST to your calculated z-score. (Answer to 2 decimal places.)
A 380-liter tank contains steam, initially at 300 kPa and 400°C. Determine time (seconds) at which 75% of the initial mass of steam remains in the tank.
The roller-coaster track shown is contained in a vertical plane. The portion of track between A and B is straight and horizontal, while the portions to the left of A and to the right of B have radii of curvature as indicated.
Eastimate the local wavelength of this function at x=4.0cm by averaging the distance to adjacent crests on either side.
Monochromatic light of 630 nm wavelength is used. the same slit, illuminated by new monochromatic light source, produces a diffraction pattern with the second minimum at a 60 ° angle from the central maximum. what is the wavelength of this new
A light fixture contains 2 light bulbs. The lifetime Xi of each bulb is exponentially distributed with a mean of 200 hours, i= 1,2,3. Suppose bulb lifetimes are independent from one another. Let T equal the time until a bulb in the fixture needs
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