3 years ago

If f(x) = {-3x + 3 for x < 0

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer:

The answer is 2.146

Step-by-step explanation:

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The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d

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Answer:

The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87 $\%$

Step-by-step explanation:

Given -

Mean $(\nu )$ = 3 hours

Standard deviation $(\sigma )$ = 1 hours

Let X be the no of hours to construct a soapbox derby car

the probability that it would take more than four hours to construct a soapbox derby car =

$P(X > 4)$ = $P(\frac{X - \nu }{\sigma}> \frac{4 - 3 }{1})$

= $P(Z > 1)$ Put $(Z = \frac{X - \nu }{\sigma})$

= 1 - $P(Z < 1)$

= 1 - .8413 Using z table

= 0.1587

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