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3 years ago

Jorgensens, an Electronics

Mathematics

1 answer:

pshichka [43]3 years ago

3 0

Answer: 0.3399

Step-by-step explanation:

The binomial probability distribution formula to find the probability of getting success in x trial:-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n is the number of trials and p is the probability of getting success in each trial.

Given : Jorgensens received a shipment of 12 DVD Players. Shortly after arrival the manufacturer called to say that that he had accidentally shipped five defective units with the shipment.

i.e. The proportion of the defective units : $p=\dfrac{5}{12}\approx0.417$

Also, Mr. Jorgensen pulled ten of the units and tested two of them.

For n=2, the probability that neither of them was defective:-

$P(x=0)=^{2}C_0(0.417)^0(1-0.417)^{2}\\\\=(1)(1)(0.583)^{2}\ \ \ [\text{ Since}^nC_0=1]\\\\=0.339889\approx0.3399$

Hence, the probability that neither of them was defective = 0.3399

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Step-by-step explanation:

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3 years ago

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olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

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We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

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Thus, the value of x is 44.

Measure of ∠A:

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

Measure of ∠C :

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

Measure of ∠D :

Substituting $x=44$ in ∠D = (x - 10)°, we get,

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$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

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3 years ago

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melisa1 [442]

Answer:

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Step-by-Step Explanation:

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2 years ago

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kari74 [83]

Answer:

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3 years ago

g Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether event

vagabundo [1.1K]

Answer:

There is not sufficient evidence to support the claim.

Step-by-step explanation:

The claim to be tested is:

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The sample mean value is not unusual if the claim is true, and the sample mean value is also not unusual if the claim is false.

Thus, there is not sufficient evidence to support the claim.

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