Briana is excited because she has just been hired by a family to babysit on Saturdays. She’s looking forward to earning some ext
1 answer:
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Answer:
a)
And we can use the complement rule and we got:
And replacing we got:
b)
And we can use the complement rule and we got:
And replacing we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:
Where and
Part a
For this cae we want to find this probability:
And if we use the conditional probability formula we got:
We can solve the problem using the z score formula given by:
And we can use the complement rule and we got:
And replacing we got:
Part b
We can solve the problem using the z score formula given by:
And we can use the complement rule and we got:
And replacing we got: