Nakita recorded a video of homecoming highlights of the senior class and now everybody wants a copy. She promised to have 25 rea
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Answer:
Step-by-step explanation:
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 "The number of years a radio functions" and we know that the distribution is given by:
We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:
We have an important property on the exponential distribution called "Memoryless" property and says this:
Where a represent a shift and t the time of interest.
On this case then
We can use the definition of the density function and find this probability:
Answer:
Skiing costs $30 per hour and Boating costs $51 per hour.
Step-by-step explanation:
Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.
<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>
<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>
<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.
Hence, y = 51
<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>
Hence, skiing costs $30 per hour and boating costs $51 per hour.