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 variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that 
So

The variance for the number of tasters is 4.2
Answer:
Hight = 22 cm
Volume of BlueCone= 92 
Step-by-step explanation:
<em>Finding the Hight of The Red Cone(</em><em>Check the Image</em><em>)</em>
<em>Volume of The Blue Cone(</em><em>Check Image Below</em><em>)</em>
<em></em>
Answer:
1.67 ounces
Step-by-step explanation:
All you have to do is take 5 and multiply that by 1/3 to get what 1/3 of 5 is. By doing that you get 5/3 which simplifies to 1.6667 repeating but you can round to 1.67 and thats your answer.