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jek_recluse [69]
3 years ago
11

Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil

ity distribution. What is the probability that a randomly selected tire will have a tread-life of less than 65,000 miles
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

P(X\leq x)=1-e^{\frac{-x}{\lambda}}, where \lambda is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire :  \lambda=\text{42,000 miles }

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x
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Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

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The formula of a midpoint:

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Substitute:

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I think he should continue with the same rate of Rs300 per dozen to gain profit of Rs2100

At the rate of Rs 90 pre 5 apples he have to pay Rs 5400 for 300(25 dozen) apples.

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if he continues selling those remaining 13 dozens of apple at the same rate the he can make profit of rs 2100.

6 0
3 years ago
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