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max2010maxim [7]
3 years ago
14

When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

e sister Betty cannot turn the TV on by herself. But once the TV is on, Betty watches with probability 0.8. Tomorrow the girls spend the day with the babysitter.a) What is the probability that both Alice and Betty watch TV tomorrow?b) What is the probability that Betty watches TV tomorrow?c) What is the probability that only Alice watches TV tomorrow?
Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

a) There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) There is a 48% probability that Betty watches TV tomorrow.

c) There is a 12% probability that only Alice watches TV tomorrow.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that Alice watches TV.

If Alice watches TV, an 80% probability Betty watches TV.

If Alice does not watch TV, a 0% probability that Betty watches TV, since she cannot turn the TV on by herself.

a) What is the probability that both Alice and Betty watch TV tomorrow?

Alice watches 60% of the time. Betty watches in 80% of the time Alice watches. So:

P = 0.6*0.8 = 0.48

There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) What is the probability that Betty watches TV tomorrow?

Since Betty only watches when Alice watches(80% of the time), this probability is the same as the probability of both of them watching. So

P = 0.6*0.8 = 0.48

There is a 48% probability that Betty watches TV tomorrow.

c) What is the probability that only Alice watches TV tomorrow?

There is a 60% probability that Alice watches TV tomorrow. If she watches, there is an 80% probability that Betty watches and a 20% probability she does not watch.

So

P = 0.6*0.2 = 0.12

There is a 12% probability that only Alice watches TV tomorrow.

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3 years ago
The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec
Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

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6 0
2 years ago
What is the answer to this and how do I do this problem?
DaniilM [7]

Answer:

  B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

  BC = 5 -(-2) = 7

The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

  AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

  AB = √100 = 10

__

  AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

  AC = √65 ≈ 8.06

__

So, the perimeter is ...

  P = AB +BC +AC

  P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B

5 0
2 years ago
Is this 40%? If not, what's the answer? Thanks!
djverab [1.8K]

Answer:

It is!

Hope this Helps!

8 0
2 years ago
Read 2 more answers
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