Esther. Vida and Clair were asked to consider two different cash flows: GH¢1000 that they

Mathematics

1 answer:

Leona [35]3 years ago

3 0

Answer:

Esther is right. Take the cash today

Step-by-step explanation:

The value of money tends to decrease due to inflation. With GH¢1000 now, she can invest and work to earn more herself.

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A survey found that the American family generates an average of 17.2 pounds of glass garbage trash each year. Assume the standar

SIZIF [17.4K]

Answer: 0.8137

Step-by-step explanation:

As per given , we have

$\mu= 17.2\ ,\ \sigma=2.5$

Sample size : n= 47

Let $\overline{X}$ be the sample mean o.

Then, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds will be :

$P(16.6$

$=P(-1.645$

[∵ $z= \dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ ]

$=P(z$

$=0.8636793-(1- 0.9500151)$ [By using p-value calculator]

$=0.8636793-0.0499849=0.8136944\approx0.8137$

Hence, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds= 0.8137

6 0

4 years ago

Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis

wariber [46]

Answer:

a) $P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

b) $P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{30000})$