1. The total hours spent by adults playing video games in their life time are measured in an experiment. (a) Define the sample space of the experiment (b) Define E1 where the hours spent is from 10o hours or more and E2 if 100 hours or less (c) Find E1 U E2 and E1 n E2 (d) Are the events mutually exclusive?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
solve problems 1 and 2 in the image given
![1. The total hours spent by adults playing video games in their life time are
measured in an experiment. (a) Define the sample space of the experiment (b)
Define E1 where the hours spent is from 100 hours or more and E2 if 100
hours or less (c) Find E1 U E2 and E1 n E2 (d) Are the events mutually
exclusive?
2. The passing rate of the universities taking the Engineering Board exams in
the past are as follow, 45% graduated from elite universities; 40% graduated
from private universities, 50% graduated from public universities, and all
became successful engineers. The current passing rate on the other hand is as
follows; 39% graduated from elite universities; 35% graduated from private
universities, 55% graduated from public universities. Find (a)the probability
that the current board exam passers would became successful engineers. (b)
the probability that the current board passer will be successful and from a
public university. (c) the probability that the current board passer will be
successful and from an elite university.
3. Given the probability mass function and the cumulative distribution
function of X
1
P(X = 2) =
;
4
P(X = 5)
15
P(X = 1) =
P(X = 3)
P(X = 4) =
15
F(0) = 0
;x< 0
1
F(x)
F(1)
;1< x< 2
15
1
8
F(2) =
;2 <x < 3
0.8
F(X) =
23
F(3) = 45
;3 <x< 4
0.6
11
F(4) =
15
;4 < x< 5
0.4
F(5) = 1
;5 < x
0.2
Cumulative distribution function of x
Determine:
(a) P(X < 3)
(b) P(1 < X < 3)
(c) P(1 < X < 3)
(d) P(1 < X < 4)
(е) Р(X > 2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa604bbca-d807-42b4-8c98-7a51b2c66f56%2F11a012f6-69fa-422f-9058-e9e97a4509c7%2Fu1gq65p_processed.jpeg&w=3840&q=75)
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