Please help me with this logs question!

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

3 years ago

Read 2 more answers

−4x−y=24minus, 4, x, minus, y, equals, 24Complete the missing value in the solution to the equation.

Serggg [28]

Answer:

there is no solution to the problem but after calculating and searching a possible answer is

x = -6

y = 0

Step-by-step explanation:

4 0

3 years ago

What are the coordinates of point Q?

Fofino [41]

Answer:

(4, 2.5)

Step-by-step explanation:

4 0

3 years ago

Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to frie

lesya692 [45]

I FOUND YOUR COMPLETE QUESTION IN ANOTHER SOURCE.
SEE THE ATTACHED IMAGE.

For this case what we must do is first find the total number of stickers.
We have then:
(4) * (24) = 96
Then, we must organize the stickers in three piles.
We have then:
(96) / (3) = 32
Answer:
in each pile are 32 stickers

6 0

3 years ago

Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c

spin [16.1K]

<span>Let,
diameter = segment AB through center P.
Set the compass to the radius PB, at B and draw two little arcs that intersect the circumference of the circle at C and D.
Then Triangle ACD will be an equilateral triangle inscribed in the given circle.
Hence,
The right option is :
</span><span>B. Open his compass to a width equivalent to the radius of the circle.</span>

7 0

3 years ago