Step 1 Given, \(\arcsin (0.25) \sin^{-1}(0.25)\)

Step 2 Now using a calculator, 0.25268025514 \(\displaystyle\Rightarrow{0.25}\)(rounding to two decimals)

Question

asked 2021-05-16

Round 2093.33 to the nearest hundredth.

asked 2021-05-21

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.

\(\begin{array}{|c|c|}\hline x & 1 & 2 & 4 & 8 & 16 \\ \hline p(x) & 0.05 & 0.10 & 0.30 & 0.45 & 0.10 \\ \hline \end{array} \)

a) Compute E(X). (Enter your answer to two decimal places.) GB

b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) \(GB^{2}\)

c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB

d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.) \(GB^{2}\)

\(\begin{array}{|c|c|}\hline x & 1 & 2 & 4 & 8 & 16 \\ \hline p(x) & 0.05 & 0.10 & 0.30 & 0.45 & 0.10 \\ \hline \end{array} \)

a) Compute E(X). (Enter your answer to two decimal places.) GB

b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) \(GB^{2}\)

c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB

d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.) \(GB^{2}\)

asked 2021-06-23

asked 2021-05-22

Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures 110∘. Use 3.14 for π.π. Round to the nearest hundredth.