1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-Dominant- [34]
3 years ago
15

Five computer program modules are ranked as M1, M2, M3, M4, and M5 according to the ascending order of effort required to debug

them, among which M1 requires the least amount of effort and M5 requires the most amount of effort. A software engineer must randomly select three program modules from the five modules. He (or she) does not know the amount of effort each module costs when selecting.
A) What is the sample space?
B) Let A be the event that one selected module requires the least amount of effort. List the outcomes in A, and calculate the probability of A.
C) Let B be the event that the one selected module requires the most effort. List the outcomes in B, and calculate the probability of B.
D) List the outcomes in the compound event AnB, and calculate the probability of it.
E) List the outcomes in the compound event AUB, and calculate the probability of it.
F) List the outcomes in the compound event AnB, and calculate the probability of it.
G) List the outcomes in the compound event AUB, and calculate the probability of it.
H) Are events A and B mutually exclusive? Explain why?
Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Technician selects three out of 5 systems  

In C(5,3)=10ways, this can be achieved  

In part a:

Space sample chooses 3 of a 5 systems  

(M_1, \ M_2,\ M_3),(M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),(M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}

In point b:

A =MODULE WHICH INCLUDE M1 minimal amount of effort  

Outcomes probable =

(M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6

\to p(A)=\frac{6}{10}\\\\

            =0.6

In point c:

B = highest effort that is M_5

Potential result=

(M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6  \\\\

\to B= \frac{6}{10} \\\\

        =0.6

\to P(B)=10

In point d:

\to \ A  \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)

\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \

                                      =0.3

In point e:

\to (A \cup B) =  (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9\to P(A \cap B)=\frac{9}{10}

                    = 0.9

In point f:

\to (A\cap B) = \frac{3}{10}

                 = 0.3

In point g:

\to (A \cup B) = \frac{7}{10}

                 =0.7

In point h:

\to p(A \cap B) = 0.3 \neq 0

You might be interested in
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and
madreJ [45]

Answer:it would take him five weeks to lose ten pounds

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help please soon !!!!!!
stepan [7]
75.25x + 3604 = 300.50x
300.50x - 75.25x = 3604
225.25x = 3604
x = 16
Both companies charged the same at 16 tons
first answer 16 tons
--------------------
300.50x = 300.50(16) = $4,808
both companies charged the same are $4,808
second answer is $4,808
5 0
3 years ago
Complete the tables of value for f(x) and g(x)
tresset_1 [31]

Answer:

Step-by-step explanation:

just multiply or add or divide to get your answer

3 0
3 years ago
The expression 21m−49n factored using the GCF
rewona [7]
Here is my work for the problem. Hope this helps!

5 0
3 years ago
Read 2 more answers
Mr. Clifton was preparing for his upcoming birthday party. He ordered 51 white balloons and 47 red balloons. As he walked to his
Andrej [43]

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

4 0
3 years ago
Other questions:
  • Jackson has a credit card with a 15% interest rate. his dad has a credit card with 5% interest rate. if they both charge $1000 h
    5·1 answer
  • Please show all steps thank you
    15·2 answers
  • William began to solve an equation. Which expression below shows the next step William needs to take? WILLIAMS SOLUTION: 8xm=2.4
    15·1 answer
  • The bill for a meal was $33.75. The customer left $40.00. What percentage of the bill was the tip?
    13·1 answer
  • Ben is 30 years old and daniel is 2 years old. how many years will it take until ben is only 3 times as old as daniel?
    11·2 answers
  • Will make branliest :) please help
    10·1 answer
  • What is 9/10 in a percentage
    14·1 answer
  • Which expression best represents all solutions of x for the equation cot x = –1.25, where k is any integer?
    5·1 answer
  • Triangle DEF is translated 3 units up to form triangle D'E'F'and 5 units to the left to form triangle D''E'' ''F'. The coordinat
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=x%20%5C%3A%20varies%20%5C%3A%20as%20%5C%3A%20product%20%5C%3A%20u%20%5C%3A%20v%20%5C%3A%20and%
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!