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
____ [38]
3 years ago
13

A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping 68% of American

households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show
Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

Answer:

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they will tune in to the show, or they wont. The probability of a household being tuned in to the show is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show.

This means that p = 0.68

If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

All 6 is P(X = 6) when n = 6. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.68)^{6}.(0.32)^{0} = 0.0989

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

You might be interested in
Can someone please help me with this problem
Archy [21]
I think its A because if you think about it 6 and 12 its a easy possiblility so it is A i think
5 0
2 years ago
Read 2 more answers
Before beginning voice lessons, Colin already knew how to sing 2 pieces, and he expects to
Vsevolod [243]

Answer: Answer is 24 though

4 0
3 years ago
Read 2 more answers
Is 5.564 bigger than 5.654
Charra [1.4K]

Answer:

No

Step-by-step explanation:

5.564 - 5.654= -0.09

----------------------

8 0
2 years ago
Read 2 more answers
The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?
Dominik [7]

Answer:

168.75, about 169 times

Step-by-step explanation:

1 yd= 36 in

300 yd= 10800 in

10800 in/ 64 in=168.75

5 0
3 years ago
Read 2 more answers
The time t (in hours) that it takes a group of volunteers to build a
weeeeeb [17]

It will take 9 hours

5 0
3 years ago
Read 2 more answers
Other questions:
  • Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
    6·2 answers
  • I need help with these questions​
    9·2 answers
  • Find x, if 36, x, x, 16 are in proportion.<br><br>please tell fast​
    7·2 answers
  • Which of the following is equivalent to the expression below?
    9·1 answer
  • a girl wants to count the steps of a moving escalator which is going up. if she is going up on it, she counts 60 steps. if she i
    8·2 answers
  • Do you guys know the answer to this problem?
    12·1 answer
  • Please help due in 5 minutes
    12·2 answers
  • HELP DUE IN 10 MINS!
    13·1 answer
  • 2. Identifica si las parejas de triángulos son congruentes. Escribe cuál de los criterios te permite comprobarlo.
    14·1 answer
  • 526 divided by 18 show your work
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!