Mathematics, 26.08.2020 23:01 brookealexis5768

11.Avery and Bradly work at a large electronic manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and the manager wants to know the probability that a skid of 50 DVD players will contain at least 3 defective units. Help Avery use the binomial distribution P(x)=n Cx p^x q^n-x to answer this question

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Answer from: heatherlemaster

The probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Step-by-step explanation:

We are given that Avery and Bradly work at a large electronics manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and a skid of 50 DVD players has been selected by the manager.

Let X = Number of defective units of DVD players

The above situation can be represented through the binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{2} \times (1-p)^{n-r}; x= 0,1,2,3,....$

where, n = number of samples (trials) taken = 50 DVD players

r = number of success = at least 3 defective units

p = probability of success which in our question is the probability

of defective rate, i.e; p = 12%

So, X ~ Binom(n = 50, p = 0.12)

Now, the probability that a skid of 50 DVD players will contain at least 3 defective units is given by = P(X $\geq$ 3)

P(X $\geq$ 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

= $1 - [ \binom{50}{0}\times 0.12^{0} \times (1-0.12)^{50-0}]-[ \binom{50}{1}\times 0.12^{1} \times (1-0.12)^{50-1}]-[ \binom{50}{2}\times 0.12^{2} \times (1-0.12)^{50-2}]$

= $1 - [ 1 \times 1 \times 0.88^{50}]-[50 \times 0.12^{1} \times 0.88^{49}]-[ 1225 \times 0.12^{2} \times 0.88^{48}]$

= 0.9487

Hence, the probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Answer from: Quest

amount of oatypop that contains the prize = 40%

amount of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

= s +f s +f f s+ff f s+ff f f s+ infinity.where f= failure,s= success

= or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

= = 87.04 %

step-by-step explanation:

Answer from: Quest

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

$\frac{ab}{bc} =\frac{ad}{ab}$

now, we can cross multiply

and we get

$ab\timesab=ad\times bc$

$ab^2=ad\times bc$

so, this could be step to prove it

Seth is using the figure shown below to prove pythagorean theorem using triangle similarity: in the

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11.Avery and Bradly work at a large electronic manufacturer that produces DVD players. The defective...