Answer:
0.6154 = 61.54% probability that the student is an undergraduate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Foreign
Event B: Undergraduate.
There are four times as many undergraduates as graduate students
So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.
Probability the student is foreign:
10% of 80%
25% of 20%. So

Probability that a student is foreign and undergraduate:
10% of 80%. So

What is the probability that the student is an undergraduate?

0.6154 = 61.54% probability that the student is an undergraduate
Answer:
The correct option is Account D
Step-by-step explanation:
Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks
Answer:
The interval estimate is above 70%, so infer that it will be supported.
Step-by-step explanation:
The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.
Therefore we can infer that a fee increase will be supported.
First, graph the three inequalities: x ≥ 5 , y ≤ 10 , 2x - y ≤ 8
Next, look for the 3 intersections (vertices) of the lines: (5, 2) , (5, 10) , (9, 10)
Finally, input the vertex coordinates into P = 4x + 5y and look for the biggest #.
(5, 2): 4(5) + 5(2) = 20 + 10 = 30
(5, 10): 4(5) + 5(10) = 20 + 50 = 70
(9, 10): 4(9) + 5(10) = 36 + 50 = 86
Answer: maximum profit = 86