How are slopes and y intercepts to the number of solutions of a system of the liner

1 answer:

7 0

We assume a linear system with 2 variables.

If the slopes are the same, and y-intercepts are different, there are 0 solutions.

If the slopes are different, there is 1 solution.

If the slopes are the same, and the y-intercepts are the same, there are ∞ solutions.

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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

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

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

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

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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:

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