Suppose X and Y independent random variables, then

\(E(XY) = E(X)E(Y)\)

Question

asked 2021-02-08

Find the probability that a single randomly selected value is less than 191.2.

\(\displaystyle{P}{\left({X}{<}{191.2}\right)}=\)?

Find the probability that a sample of size \(\displaystyle{n}={111}\) is randomly selected with a mean less than 191.2.

\(\displaystyle{P}{\left({M}{<}{191.2}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-05

Find the probability that a single randomly selected value is between 176.5 and 183.1.

\(\displaystyle{P}{\left({176.5}{<}{M}{<}{183.1}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2020-11-30

Find the probability that a sample of size n=142 is randomly selected with a mean between 27.7 and 35.3.

\(\displaystyle{P}{\left({27.7}{<}\overline{{{X}}}{<}{35.3}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2020-11-29

Find the probability that a sample of size \(\displaystyle{n}={244}\) is randomly selected with a mean between 104.7 and 112.8.

\(\displaystyle{P}{\left({104.7}{<}{M}{<}{112.8}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2020-12-06

Find the probability that a sample of size \(\displaystyle{n}={60}\) is randomly selected with a mean between 11.5 and 14.

\(\displaystyle{P}{\left({11.5}{<}{M}{<}{14}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-02

Find the probability that a single randomly selected value is between 11.5 and 14.

\(\displaystyle{P}{\left({11.5}{<}{X}{<}{14}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-25

Find the probability that a sample of size \(\displaystyle{n}={173}\) is randomly selected with a mean less than 186.1.

\(\displaystyle{P}{\left({M}{<}{186.1}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2020-12-06

You intend to draw a random sample of size \(\displaystyle{n}={78}\).

Find the probability that a single randomly selected value is less than 11.5.

\(\displaystyle{P}{\left({X}{<}{11.5}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2020-12-07

Find the probability that a single randomly selected value is between 98.5 and 100.7.

\(\displaystyle{P}{\left({98.5}{<}{X}{<}{100.7}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-05

Find the probability that a single randomly selected value is between 176.5 and 183.1.

\(\displaystyle{P}{\left({176.5}{<}{X}{<}{183.1}\right)}=\)?

Write your answers as numbers accurate to 4 decimal places.