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
Maru [420]
3 years ago
10

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? Hint: De ne events precisely and use the product rule and the law of total probability.
Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

A. P("Both Alice and Betty watch TV") = 12/25

B. P("Betty watches TV") = 12/25

C. P("Only Alice watches TV") = 3/25

Step-by-step explanation:

A. Because what we are told, Betty need that Alice turn on the TV, so, we first need the probability that she watches TV:

P(Alice)=3/5 (0.6)

And we know that:

P(Betty)=4/5 (0.8)

If we want the probability of both things happening at the same time (If you use a tree diagram, those events will be in the same branch), we proceed multiply them:

P("Both Alice and Betty watch TV") = 3/5 * 4/5 = 12/25

And this is the answer

B. Considering that Betty needs Alice to turn on the TV, the probability of Betty watching TV is the same as if she is with Alice.

P("Betty watches TV") = P("Both Alice and Betty watch TV") = 12/25

C. We use the same process as part A, but with a little difference. We now multiply for the probability that Betty does not watch TV (Because they still be in the same branch).

P("Betty does not watch TV") = 1 - P("Betty")

P("Betty does not watch TV") = 1 - 4/5

P("Betty does not watch TV") = 1/5

And the answer for part C is:

P("Alice watches TV without Betty") = 3/5 * 1/5 = 3/25

You might be interested in
What is the best way to study all my countries? RN I'm on Asia, and I've done USA, Canada (provinces and territories), Central A
sweet-ann [11.9K]

Answer:

Here are some sites that I love:

Seterra Geography Games

Lizardpoint

World Geography Games

Enchanted Learning

One of these sites can hopefully help you out. Bye!

4 0
3 years ago
Read 2 more answers
0.0793 kg= __ cg please help fast.
Inga [223]
0.0793 kg equals 7930 cg


7 0
3 years ago
Read 2 more answers
4.05 as a mixed number
kondor19780726 [428]
4.05 in a mixed number is 4 1/2
6 0
3 years ago
Read 2 more answers
Helppp please I have limited time
Sophie [7]

Answer:

p = <u>T</u> - a - <u>b</u>

Step-by-step explanation:

Hope that helps, not sure if it is correct though.

7 0
3 years ago
Read 2 more answers
Ewans flight is schheduled to travel 1,750 in 3.5 hours . at what rate does it travel per hour
Karo-lina-s [1.5K]

Answer:

It travel at the rate of <u>500 miles per hour</u>.

Step-by-step explanation:

Given:

Ewans flight is scheduled to travel 1,750 miles in 3.5 hours.

Now, to find the rate it travel per hour.

Distance = 1,750 miles.

Time = 3.5 hours.

So, to get the rate we put formula:

Speed=\frac{distance}{time}

Speed=\frac{1750\ miles}{3.5\ hours}

Speed=500\ miles\ per\ hour

Therefore, it travel at the rate of 500 miles per hour.

7 0
3 years ago
Other questions:
  • Evaluate the following expressions when x=-4 and y=4
    11·2 answers
  • Convert 4 radians to degrees.
    10·1 answer
  • Solve for k f= g-h+k:2
    11·1 answer
  • The price of a pair of shoes is $45.90. The sales tax rate is 5%. How much sales tax do you need to pay?
    14·2 answers
  • –12 – (–7) <br><br> A. 5 <br> B. -19 <br> C. -5 <br> D. 19
    7·2 answers
  • What is the price of $45 art set with 7% tax
    10·1 answer
  • monammed walks 3 km from point A on aboaring OF 0230 . He then wars 4km on a bearing on 11.30 to Point Point B. What is the is t
    13·1 answer
  • Determine a series of transformations that would map Figure C onto Figure D plz help asap
    8·1 answer
  • The blinker on Brendan’s Bugatti blinks 22 times every 48 seconds. how many times will the blinker blind in 24 seconds ?
    9·1 answer
  • A. 5.5%
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!