Two students, Alice and Bob, forgot to put their names on their exam papers. The professor knows that Alice does well with probability 0.8, and Bob does well with probability 0.4, independently of each other. What is the probability that exactly one of Alice and Bob does well on the exam

Answer:

[tex]Probability = 0.56[/tex]

Step-by-step explanation:

Represent the probability that Alice does well with P(A), the probability that Bob does well with P(B).

So, we have:

[tex]P(A) = 0.8[/tex]

[tex]P(B) = 0.4[/tex]

Required

Determine the probability that only one of them do well

This event is represented as: (A and B') or (B and A')

Where B' means Bob does not perform well and A' means Alice does not perform well.

And:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(A') = 1 - P(A)[/tex]

So, the probability becomes:

[tex]Probability = P(A\ and\ B')\ or\ P(B\ and\ A')[/tex]

[tex]Probability = P(A) * P(B')\ +\ P(B)*P(A')[/tex]

[tex]Probability = P(A) * (1-P(B)) +\ P(B)*(1-P(A))[/tex]

[tex]Probability = 0.8 * (1-0.4) +\ 0.4*(1-0.8)[/tex]

[tex]Probability = 0.8 * 0.6 +\ 0.4*0.2[/tex]

[tex]Probability = 0.48 + 0.08[/tex]

[tex]Probability = 0.56[/tex]

Hence, the required probability is 0.56

The attendance at a previous football game was 965
people. The attendance from today's game was 772 people.
What is the percent decrease?
Select one:
2%
193%
O
80%
20%
20%

My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.

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Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?
​

Barbara has a part-time lawn-mowing job. The table below shows the amount of money Barbara earned for different numbers of hours of work:


Barbara's Earnings from Lawn Mowing
Number of Hours Worked Money Earned (dollars)
5 40
6 48
8
56


Part A: What are the missing numbers in the table? Show your work.

Part B: Barbara also works part time at a theme park. The ratio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9. Create a table to show the money earned by Barbara for 5, 6, and 8 hours of work at the theme park.

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so alot of the text got cut off so im going to re wright the problem

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W=

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Which list best describes the forces on the piano in the proper order?

positive force → balanced force → negative force
negative force → balanced force → positive force
positive force → unbalanced force → negative force
negative force → unbalanced force → positive force

Please show your work in the answers. Please answer the 3 questions I put.

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BE
AC
AB
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PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!

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