A normal distribution has a mean of u = 90 with o = 15. Find the following %3D %3D probabilities: a. p(X > 102) b. p(X < 65) c. p(X < 118) d. p(95 < X < 105)

A random sample of n = 100 observations is selected from a population with u = 31 and o = 21. Approximate the probabilities shown below. a. P(x2 28) c. P(xs 28.2) b. P(22.1sxs26.8) d. P(x2 27.0) Click the icon to view the table of normal curve areas.

Suppose x has the B(20, 0.5) distribution. Fint the P(x>10).

Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 58.2 ft and a standard deviation of 4.8 ft. A tree of this type grows in my backyard, and it stands 56.8 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X<56.8)= My neighbor also has a tree of this type growing in her backyard, but hers stands 61.1 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X>61.1)= Enter your answers as decimals accurate to 4 decimal places.

Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages?   A. 1.00   B. 0.729   C. 0   D. 1.40

For a normal distribution with a mean of µ=100 and a standard deviation of σ= 15, find each of the following probabilities:   a. p(X>108) p= b. p(X<80) p= c. p(X<125) p= d. p(90<X<110) p=

Suppose that the random variable z has a standard normal distribution. Sketch each of the following z points, and use the normal table to find each z point.  a) z(-0.01)b) z(-0.05)c) z(-0.10)

Assume that daily evaporation rates (E) have a uniform distribution with a = 0 and b = 0.35 inches/day. Determine the following probabilities:Pr (E ≥0.1) Pr (E ≤ 0.22) Pr (E = 0.2) Pr (0.05 ≤ E ≤ 0.15