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
What is the mass of this cucumber?
Troyanec [42]

Answer:by summing up the standard unit is

230g

3 0
3 years ago
Simplify the variable expression below as much as possible.<br> 3x + 2y + 5-3
agasfer [191]

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

8 0
2 years ago
Write an equation of the line with the given slope that contains the given point.
Alchen [17]

Answer:

y=-2x+12

Step-by-step explanation:

We can use the point-slope form given by:

y-y_1=m(x-x_1)

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

y-(2)=-2(x-(5))

Simplify:

y-2=-2(x-5)

Distribute:

y-2=-2x+10

Add 2 to both sides. Hence, our equation is:

y=-2x+12

3 0
3 years ago
Part one: Solve the standard form for the equation of a line for x.
vichka [17]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
What is −5x + 4 for x = −5
Triss [41]

Answer:

29

Step-by-step explanation:

Given

- 5x + 4 ← substitute x = - 5 into the expression

= - 5(- 5) + 4 = 25 + 4 = 29

5 0
3 years ago
Other questions:
  • Elisa is writing an algebraic expression for the phrase 5 less than a number
    5·1 answer
  • PLEASE HELP! (see attached image) The equation of function h is h(x) = 1/2(x-2)^2. The table shows some of the values of functio
    15·1 answer
  • I need the answer pls help!
    12·1 answer
  • What is a reasonable estimate of 1/12+7/8
    15·1 answer
  • 1,050 millimeters to meters
    7·1 answer
  • WHY IS EDGENUITY SO HARD?!?!??!?!
    15·2 answers
  • Maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6
    11·2 answers
  • PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!
    13·1 answer
  • b and d are points on a circle with centre 0. abc is the tangent to the circle at b. and is a straight line. angle cbd is 66 deg
    10·2 answers
  • Pls I need help fast
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!