A grocer has 2 types of tea, one for sells for $8.00 per pound and the other for $6.00. How many pounds of each kind must he use
1 answer:
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Answer:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
With the weekly average we can estimate the daily average for customers, assuming 7 days a week:
We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:
Then we can calculate the z value for x=100:
Now we calculate the probability of x>100 as:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Answer:
And replacing we got:
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:
And for this case we want to find the following probability:
We can find this probability using the complement rule and the cumulative distribution function given by:
Using this formula we got:
And replacing we got:
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714