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
madreJ [45]
2 years ago
6

In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

hat has four children, what is the probability that it is not ideal
Mathematics
1 answer:
sleet_krkn [62]2 years ago
7 0

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. 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.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

You might be interested in
The sum of seven interior angle measurements is an octagon equal 835°. What is the angle measurement of the eighth angle?
creativ13 [48]

\bf \textit{sum of all interior angles in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies S=180(8-2) \\\\\\ S=180(6)\implies S=1080

now, we know 7 of those angles are already 835°, so the last one must be 1080 - 835 = 245°.

4 0
3 years ago
What is the formula to find the interest
Andre45 [30]

i = prt

Hope this helps

3 0
3 years ago
Read 2 more answers
Offering 50 points really need help on homework
astra-53 [7]

i cant see the photo, it is black, and i cant see it can u post another one,

then i will help (:

4 0
3 years ago
Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).
motikmotik

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

3 0
3 years ago
Sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels. Sandy says the mean of the data is 4. Is Sandy correct?
diamong [38]
If sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels, the mean of the data would be 4. So yes sandy is correct.
7 0
3 years ago
Read 2 more answers
Other questions:
  • An equation is given below.
    13·1 answer
  • Determine the first four numbers of N if N is<br><img src="https://tex.z-dn.net/?f=N%20%3D%20%20%5Csqrt%7B122436486072...2400%7D
    12·1 answer
  • Jamal drew the function below. Which explains whether or not his function is linear?
    12·1 answer
  • The answer to all of these word problem
    11·1 answer
  • How do you do percent problems
    9·1 answer
  • Substitution method<br> x= -2y <br> 2x+5y=-1
    10·2 answers
  • Someone help me please please please I really need this ​
    9·1 answer
  • In the diagram below, BD is parallel to XY. What is the value of x?<br> ОА. 125<br> Ос. 115
    13·1 answer
  • Write in point-slope form an equation of the line that passes through the point (3,0) with slope 23.
    15·1 answer
  • Which statements are true?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!