Answer:
And using the cdf we got:
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 the random variable of interest and we know that the distribution is given by:
We know the variance on this case given by :
So then the deviation is given by:
And if we solve for we got:
The cumulative distribution function for the exponential distribution is given by:
Solution to the problem
And for this case we want to find this probability:
And using the cdf we got:
Answer:
The answer is that he would have to work 6 hours to have enough money to buy the glove.
Step-by-step explanation:
1: Find the amount he needs to earn by subtracting $14 from $50: 50 - 14 = 36. So he needs to earn $36.00.
2: Since you have to find the amount of hours, you can divide $6 from $36 to get the amount of hours he needs to work: 36 / 6 = 6. Eamon only gets $6.00 per hour so he would have to work 6 hours to get the $36.00.
-2m-9 is the simplified expression