You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.
When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99 per person, but also includes a $20 reservation fee in addition.
What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A) 4 people
B) 5 people
C) 6 people
D) 7 people
What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A) 4 people
B) 5 people
C) 6 people
D) 7 people
2 answers:
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Answer:
And we can find this probability using excel or the normal standard tabe and 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 temperatures of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got: