Bobbie Comstock
2022-01-19
Answered

What are the mean and standard deviation of a binomial probability distribution with n=100 and $p=\frac{8}{10}$ ?

You can still ask an expert for help

Dabanka4v

Answered 2022-01-19
Author has **36** answers

The Binomial Distribution B(n,P) is given by:

$$P(X=k)=(\begin{array}{c}n\\ k\end{array}){p}^{k}(1-p{)}^{n-k}$$

with${\mu}_{X}=np=100\cdot \frac{8}{10}=80$

${\sigma}_{X}^{2}=np(1-p)=100\left(\frac{8}{10}\right)\left(\frac{2}{10}\right)=16$

with

asked 2021-03-18

A population of values has a normal distribution with

Find the probability that a single randomly selected value is between 133.6 and 134.1.

Write your answers as numbers accurate to 4 decimal places.

asked 2021-02-21

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a

Express your answer in the form of three inequalities. Give your answers in decimal fractions up to three places

asked 2022-01-18

Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?

asked 2021-05-16

Let ${X}_{1}....,{X}_{n}and{Y}_{1},...,{Y}_{m}$ be two sets of random variables. Let ${a}_{i},{b}_{j}$ be arbitrary constant.

Show that

$Cov(\sum _{i=1}^{n}{a}_{i}{X}_{i},\sum _{j=1}^{m}{b}_{j}{Y}_{j})=\sum _{i=1}^{n}\sum _{j=1}^{m}{a}_{i}{b}_{j}Cov({X}_{i},{Y}_{j})$

Show that

asked 2021-02-05

For a population with a mean of $\mu =100$ and a standard deviation of $\sigma =20$ ,

Find the X values.

$z=+.75$ .

Find the X values.

asked 2022-01-30

A distribution has a mean of 10400.93 and a standard deviation of 5112.49. What is one standard deviation below the mean?

asked 2021-02-05

A population of values has a normal distribution with

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

Write your answers as numbers accurate to 4 decimal places.