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
Radda [10]
3 years ago
15

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen

der of any other children. find the probability of exactly eight boys in ten births. round the answer to the nearest thousandth.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Let X be the number of boys in n selected births. Let p be the probability of getting baby boy on selected birth.

Here n=10. Also the male and female births are equally likely it means chance of baby boy or girl is 1/2

P(Boy) = P(girl) =0.5

p =0.5

From given information we have n =10 fixed number of trials, p is probability of success which is constant for each trial . And each trial is independent of each other.

So X follows Binomial distribution with n=10 and p=0.5

The probability function of Binomial distribution for k number of success, x=k is given as

P(X=k) = (10Ck) 0.5^{k} (1-0.5)^{10-k}

We have to find probability of getting 8 boys in n=10 births

P(X=8) = (10C8) 0.5^{8} (1-0.5)^{10-8}

= 45 * 0.0039 * 0.25

P(X = 8) = 0.0438

The probability of getting exactly 8 boys in selected 10 births is 0.044

You might be interested in
Suppose X and Y have joint density f(x,y)=1 for 0
SashulF [63]

∫¹₀ min (1, n/y)dy = ∫ⁿ₀ (1, n/y)dn + ∫¹n min (1, n/y) dy

Hope this helps


8 0
3 years ago
Twice the greater of two consecutive odd intergers is 13 less than three times the lesser. Find the intergers ​
erastova [34]

Answer:

\large\boxed{15, 16}

Step-by-step explanation:

2 consecutive integers represented as variables:

x, x + 1

Greater one: x + 1

Lesser one: x

Write as an equation

2(Greater) + 13 = 3(Lesser)

Substitute in known values

2(x + 1) + 13 = 3(x)

Multiply

2x + 2 + 13 = 3x

Subtract 2x from both sides of the equation

2 + 13 = x

Add 2 + 13 to simplify

x = 15

Lesser = x = 15

Greater = x + 1 = 15 + 1 = 16

\large\boxed{15, 16}

Hope this helps :)

3 0
3 years ago
One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in orde
grandymaker [24]
F = 15%
v = 5%
0.15f + 0.05v = 0.14*10
15f + 5v = 140
3f + v = 28
f + v = 10 (total volume)
---------- Subtract
2f = 18
f = 9 liters of 15%
v = 1 liter of 5%
7 0
3 years ago
In the graphic below,
sukhopar [10]

The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

\begin{gathered} \angle d=180-\angle a \\ \angle b+\angle c=180-\angle a \end{gathered}

Then we can conclude that:

\angle d=\angle b+\angle c

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.

Let's use an example:

On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

x=75+45=120

The sum of the remote interior angles is equal to the external angle.

6 0
1 year ago
You play basketball at your school's
vaieri [72.5K]

Answer:

20 + 2x = 4x

Step-by-step explanation:

So you are setting the two expressions equal to each other.

buying a membership card  and paying each time looks like this: 20 + 2x where x is the number of times you go to the gym.  20 dollars base then 2 each time you go.

4 each time you go is just 4x

so just set the two equal to each other.

20 + 2x = 4x

If you solve it you will get x = something, which would be the number of times to make the two equal.  

8 0
3 years ago
Other questions:
  • Help plz i want to start 9th grade language arts bit i cant untill i catch up on math
    6·1 answer
  • The results of a poll show that between 75% and 83% of consumers prefer Chip A to Chip B. What is the point estimate for the per
    12·2 answers
  • a bicycle advertised all mountain bikes priced at a 1/3 discount what is the discount price of the bicycle
    14·1 answer
  • Hadi earned $358.00 from his job this week. Next week, he expects his pay to be 17% less than it was this week. How much money s
    11·1 answer
  • Find the equivalent expression by drawing a line from the left column to the right
    6·1 answer
  • Help! I need an answer quick!
    12·1 answer
  • Please please help help please please help me
    9·2 answers
  • Tawiah is x years old now. a) How old was he 7 years ago? b) How old will he be in 15 years from now? c) If his age in 15 years
    15·1 answer
  • Complete the formula to find the tax withheld.
    14·1 answer
  • Log(3y+2)-1=log(y-4) solve y​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!