Answer: 70 ml of coffee in each cup
Step-by-step explanation:
1 liter = 1000 ml
Amount of coffee given = <em>2.1 liters</em>
<em>2.1 liters = 2.1 * 1000 = 2100 ml</em>
Total number of cups = 30
Amount of coffee in each cup =
=
=70
<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>
Answer:
a)
b)
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:
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:
The cumulative distribution function is given by:
Part a
We want to find this probability:
and for this case we can use the cumulative distribution function to find it like this:
Part b
For this case w want to find this probability
We have an important property on the exponential distribution called "Memoryless" property and says this:
On this case if we use this property we have this:
We can use the definition of the density function and find this probability:
