Step 1

As we know,

Integer are the numbers which can be positive, negative or zero, but cannot be a fraction (no decimals).

Step 2

Therefore,the Number \(-0.5\) and \(\frac{1}{2}\) are not integers.

Question

asked 2020-10-20

(a) Under what conditions should one expect an unusually large relative error in the computed value of \(a^{2}\ -\ b^{2}\) when this expression is evaluated in finite precision arithmetic?

(b)cWs 4-digit (decimal) rounding arithmetic to evaluate both \(a^{2}\ -\ b^{2}\ and\ (a\ +\ b)(a\ -\ b)\ with\ a\ = 995.1\ and\ b = 995.0.\) Calculate th relative error in each result.

(c) The expression \((a\ +\ b)(a\ -\ b)\ is\ algebraically\ equivalent\ to\ a^{2}\ -\ b^{2},\) but it is a more accurate way to calculate this quantity if both a and b have exact floating point representations. Why?

asked 2020-10-20

Compute the following binomial probabilities directly from the formula for \(b(x, n, p)\):

a) \(b(3,\ 8,\ 0.6)\)

b) \(b(5,\ 8,\ 0.6)\)

c) \(\displaystyle{P}{\left({3}≤{X}≤{5}\right)}\)

when \(n = 8\) and \(p = 0.6\)

d)\(\displaystyle{P}{\left({1}≤{X}\right)}\) when \(n = 12\) and \(p = 0.1\)

asked 2020-11-22

\(\frac{8}{8},\frac{4}{4},\frac{1}{4},\frac{1}{1},\frac{1}{2}\)

asked 2021-01-24

Consider the given expression \(2(\frac{17}{5})\)