A production manager tests 10 batteries and finds that their mean lifetime is 468

1 answer:

6 0

The question is somehow incomplete but the answer is it in the inferential stage of probability-based inference. It is in complex networks of codependent variables is an lively theme in statistical research, encouraged by such varied presentations as predicting, pedigree examination and troubleshooting.

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For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

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3 years ago

What type(s) of symmetry does the figure have? (Check all that apply.)

monitta

2 Answers: A) line symmetry and B) rotational symmetry

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Explanation:

We have line symmetry because we can draw a vertical line down the center, and this is a mirror line. One half folds over the vertical line to match up with the other half. There are other lines of symmetry as well.

We also have rotational symmetry because we can rotate the figure some amount of degrees and have it line up with its original image. The before and after will be identical. This applies to any regular polygon.

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4 years ago

The set of all output values y in a function is called the ___ of the function

Debora [2.8K]

Range of a function.

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4 years ago

Read 2 more answers

HELP look at the photo

jolli1 [7]

I think it’s 202
all i did was multiply and add them up together, all though i’m not great at math but i hope you get it right lol

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