Math Answers

find the variance and standard deviation of the probability distribution of the random variable W if P{W = w} = {w+1}/20 for W = {1, 2, 3, 4, 5}

An account pays interest at a nominal rate of 11% .Find the effecrive annual yield if interest is compounded monthly?

The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.

Read and analyze the following situations and supply the values of the following variables (if

there is any). On the third column, write known on the space provided if the situation gives

or can compute the value of the variance, otherwise write unknown. Identify also the formula

to be used to estimate the standard error of the mean by writing the symbols or, when the

population variance is known and sxwhen the population variance is unknown,

Situation:

A population composed of 11 items whose

N=

measurements are 12, 7, 9,11,8, 20, 23, 18, 13, 22.

and 10. Samples of 5 items are drawn at random

without replacement.

Given: N=

n=

Answer:

Standard Error Formula:

The random variable X is best described by a normal distribution with mean of 30 and standard deviation of 6. Find the z-score that corresponds to th following X values. a. X = 21 b. X = 26 c. X = 35 d. X = 42 e. X = 50

The random variable X is best described by a normal distribution with mean of 30 and standard deviation of 6. Find the z-score that corresponds to th following X values. a. X = 21 b. X = 26 c. X = 35 d. X = 42 e. X = 50

Read and analyze the following situations and supply the values of the following variables (if

there is any). On the third column, write known on the space provided if the situation gives

or can compute the value of the variance, otherwise write unknown. Identify also the formula

to be used to estimate the standard error of the mean by writing the symbols or when the

population variance is known and sx when the population variance is unknown.

Situation:

Given the population mean of 12, and a sample

standard deviation of 3 in a sample size of 125

Given:

n=

m=

s=

Answer:

Standard Error Formula:

Consider an electric circuit with an inductance of 0.05 henry, a resistance of 20 ohms, a condenser of capacitance of 100 micro farads and an E = 100 volts. Find I and Q given the initial conditions Q = 0, I = 0 at t = 0

7. Express these system specifications using the proposi tions p "The message is scanned for viruses" and "The message was sent from an unknown system together with logical connectives (including negations).

a) "The message is scanned for viruses whenever the message was sent from an unknown system." b) "The message was sent from an unknown system but

it was not scanned for viruses. c) "It is necessary to scan the message for viruses when ever it was sent from an unknown system.

d) "When a message is not sent from an unknown system

it is not scanned for viruses.

7. Express these system specifications using the proposi tions p "The message is scanned for viruses" and "The message was sent from an unknown system together with logical connectives (including negations).

a) "The message is scanned for viruses whenever the message was sent from an unknown system." b) "The message was sent from an unknown system but

it was not scanned for viruses. c) "It is necessary to scan the message for viruses when ever it was sent from an unknown system.

d) "When a message is not sent from an unknown system

it is not scanned for viruses.