What ratio is equivalent to 6 to 2? Complete the statement.

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

Marta_Voda [28]

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:

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

7 0

3 years ago

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Curtis hindle purchased a mountain bike for $650.00 with 75% down. he will make 12 payments of $24.38 each. what is the total am

Pavel [41]

Answer:

Step-by-step explanation:

The cost of the mountain bike is $650.00 with 75% down payment. The down payment that he needs to produce is $487.50. He needs to pay an additional of 12 payments, $24.38 each. This will be added to the money that he needs to pay. The total amount paid is:

$24.38 * 12 payments + $487.50 = $780.06

<u>Someone help find the finance charge!!!</u>

3 0

3 years ago

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For what values of x is the absolute value of x less than or equal to 1.5? (Hint: Substitute numbers into the inequality |x| ≤ 1

o-na [289]

Answer:

|x|<1.5

if x=0

0<1.5 is true

if x=1.5

1.5<1.5

true

if x=-1.5

|-1.5|<1.5

anything greater than 1.5 or less than -1.5 doesn't work

the way to solve is

assume that the inside is negative so if you had

|x|=a then to solve

x=a

x=-a

8 0

3 years ago

bri bought 5 boxes of oranges each box had 8 oranges she split the oranges evenly into 10 bags how many oranges were in each bag

motikmotik

Answer:

<h2>The answer is 4 </h2>

Step-by-step explanation:

8 0

3 years ago

If x° and 60° are vertically opposite angles , then x° = ?

Lynna [10]

Answer:

x° = 60

Step-by-step explanation:

Vertically opposite angles are congruent, thus

x° = 60

6 0

3 years ago

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