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2 years ago

Can someone please help me? I need to find the equation.

Mathematics

1 answer:

amm18122 years ago

5 0

You've already found the rule for the table.

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If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

3 0

2 years ago

Read 2 more answers

Find the circumference of the circle in terms of π.

SSSSS [86.1K]

Answer:

C) 12π cm

Step-by-step explanation:

Circumference formula:

C = 2πr

Given r = 6 cm

Circumference is:

C = 2π*6 cm = 12π cm

Correct choice is C

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2 years ago

I GIVVEEE BRAINLILSTTT

inysia [295]

The answer is (3, -5). I hope this helped

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Volume is a three-dimensional measure. true false

Xelga [282]

True, volume is a tree dimensional measure.

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Zeina has seven times as many books as ali if zeina gave ali 15 books they would eash have the same number of books how many boo

ELEN [110]

Step-by-step explanation:

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