Answer:
a) 20%
b) 80%
c) There is 4% probability that both will be marketing majors.
d) There is a 36% probability that at least one will be a marketing major.
Step-by-step explanation:
At your school, 20% of the class are marketing majors.
This means that for each student, there is a 20% that he is a marketing major and an 80% chance that he is not a marketing major.
a) What is the probability that the first partner will be a marketing major?
The probabilities for each student are independent, so it is 20%.
b) What is the probability that the first partner won't be a marketing major?
80%
c) What is the probability that both will be marketing majors?
For each one, it is 20%. So:
There is 4% probability that both will be marketing majors.
d) What is the probability that at least one will be a marketing major?
That is one of them or both. For both, we found in c) that it is 4%.
For one of them, there are two cases. Either the first partner is and the second is not, or the other way. So, the probability that at least one will be a marketing major is
There is a 36% probability that at least one will be a marketing major.
Answer:
A. 4.26 in^2
Step-by-step explanation:
Step 1: Find the area of the sector DBC. Here we have to use the formula.
Area of a sector = Central Angle/360 *π
The area of the sector DBC = (54/360)*3.14*
= 30.16
Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD
= 30.17 - 25.9
Area of segment CFD = 4.27in^2
Answer:
Step-by-step explanation:
For the random variable we define the possible values for this variable on this case
. We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:
We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable like this:
For the distribution of we need to take in count that we are finding a conditional distribution.
given
, for this case we see that
, so then exist
ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:
And if we want to find the joint probability we just need to do this:
And if we multiply the probabilities founded we got:
Answer:
32
Step-by-step explanation:
We can ignore Piroxicam, because it comes in capsules.
1. Number of Glucotrol tablets
Marilyn takes one tablet per day.
2. Number of Isoniazid tablets
Marilyn takes three tablets per day.
3. Total tablets
Total tablets = 8 tab + 24 tab = 32 tab
Marilyn takes 32 tablets in eight days.