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Zielflug [23.3K]
3 years ago
9

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

function. Two of the parts have a 0.79 probability of functioning, and two have a probability of 0.83. What is the overall probability that the product will function properly?
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

0.430

Step-by-step explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430

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Question 6 (1.25 points)
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Answer:

Test statistic Z= 1.713

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

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Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

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Alternative Hypothesis :  x⁻ ≠  μ

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Test statistic

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The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

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