Find mean and the standard deviation of the round-off error

Assignment Help Applied Statistics

Reference no: EM13910662

The amount of sales tax paid on a purchase is rounded to the nearest cent. Assume that the round- off error is uniformly distributed in the interval -.5 to .5 cent.

a. Write the formula for the probability curve describing the round-off error.

b. Graph the probability curve describing the round-off error.

c. What is the probability that the round-off error exceeds .3 cent or is less than -.3 cent?

d. What is the probability that the round-off error exceeds .1 cent or is less than -.1 cent?

e. Find the mean and the standard deviation of the round-off error.

f. Find the probability that the round-off error will be within one standard deviation of the mean.

Reference no: EM13910662

Questions Cloud

What minimum iq test score should be required for admittance : If the public school wishes 95 percent of all children to qualify for admittance, what minimum IQ test score should be required for admittance?

Develop the mo diagram : Develop the MO diagram for LiF. Clearly indicate which atomic orbitals mix to make which molecular orbitals. Show the orbital occupancy in LiF and estimate the bond order.

Bond dissociation energy : The bond dissociation enthalpies for N2 and N2- are 945 kJ/mol and 765 kJ/mol respectively. (There is only a small difference between enthalpies and energies.) Using an argument based on MO theory, explain why N2- has a smaller bond dissociation e..

What is the concentration : What is the concentration of Br- (aq) in a solution prepared by mixing 75.0 mL of 0.62 M iron (III) bromide with 75.0 mL of water? Assume volumes are additive. the answer is 0.93 but I got 1.86 and 3.1 I'm not even sure anymore!

Find mean and the standard deviation of the round-off error : Find the mean and the standard deviation of the round-off error. Find the probability that the round-off error will be within one standard deviation of the mean.

Gravimetric analysis of iron ions : A student performs the following gravimetric analysis of iron ions in a water system:Fe2+ (aq) + 2CO32- (aq) = FeCO3 (s)If this student used excess carbonate and obtained the following data, what was the original concentration in moles/L) of Fe2+ ..

Identify the conjugate acid-base pairs : When lithium oxide (Li2O) is dissolved in water, the solution turns basic from the reaction of the oxide ion (O^2-) with water. Write the equation for this reactionand, identify the conjugate acid-base pairs.

Find probability that his forecast is at most six percent : Find the probability that his/her forecast is At least 3.5 percent, At most 6 percent and Between 3.5 percent and 6 percent.

The replica designs case : You agreed to analyze her business operations and to advise her how to reach her modest goal of earning $25,000 per year, after taxes. After some calculation and some thought, you conclude that Jane has to increase her revenues, perhaps by achieving ..

User Account

All Pages