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Formulaic
100

In a class, there are 18 girls and 14 boys. If the teacher selects two students at random, this is the probability that the two students are of the same gender.

What is 61/124 or 0.49?

100

If two events are exclusive, as in if one event occurring implies the other cannot occur, then it is said that these two events are this.

What are mutually exclusive?

100

normalcdf(1.40, 100, 1.35, 0.0316)

What is 0.0568?

200

Suppose that a Bellarmine student is randomly selected. The probability that the student is a senior is 0.22 and the probability that the student has a driver's license is 0.30. If the probability that the student is a senior or has a driver's license is 0.36, this is the probability that the student is a senior and has a driver's license.

What is 0.16 or 16%?

200

This is the probability of an event happening with the condition that another event has happened.

What is conditional probability?

200

This is 6 choose 4, or 6 nCr 4.

What is 15?

300

If A and B are independent with P(A) = 0.25 and P(B) = 0.34, this is 

P(A\cup B)

What is 0.505?

300

This describes how far at most, we expect the error to be between the estimate and the true population value. 

What is the margin of error?

300

This is the p-value from 2-PropZTest with

x1: 22

n1:35

x2:95

n2:100

p1: <p2

What is p = 7.38 * 10-7?

400

A travel agent books passages on three different tours, with half her customers choosing tour T1, one third choosing T2 and the rest choosing T3. The agent has noted that three-quarters of those who take tour T1 return to book passage again, two-thirds of those who take T2 return and one-half of those who take T3 return. If a customer does return, this is the probability that the person first went on tour T2.

What is 16/49?


P(T2) = 2/3

Out of those, 1/3 return, so 2/9 go on T2 and return.

P(return) = 49/72

2/9 / (49/72)

400

This is the value of the probability of getting evidence for the alternative hypothesis as strong or stronger than the observed evidence when the null hypothesis is true.

What is a P-value?

400

tcdf( -2, 1, 5)

What is 0.767422?

500

Suppose that an insurance company charges $900 annually for auto policies for teenagers. The policy specifies the company will pay $1500 for a minor accident and $8000 for a major accident. If the probability of a teenager having a minor accident during the year is 0.15 and of having a major accident is 0.05, this is the amount of money the insurance company can expect to make on 10 policies.

What is $2750?


900-(1500(0.15)+8000(0.05)) = 275 per policy

500

This is the level of confidence that one may have when interpreting an interval to estimate a parameter of a population.

What is a confidence level?

500

This is TInterval with the following:

bar x=58

s_x:22

n:5

C-Level:0.95

What is (30.683, 85.317)?

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