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
lidiya [134]
3 years ago
12

The Wilson family was one of the first to come to the U.S. They had 8 children. Assuming that the

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Answer:

0.3634 = 36.34% probability that the Wilson family had at least 5 girls.

0.8554 = 85.54% probability that the Wilson family had at most 5 girls.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or it is 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.

They had 8 children.

This means that n = 8

The probability of a child being a girl is .5

This means that p = 0.5

Probability that the Wilson family had: at least 5 girls?

This is:

P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

In which

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

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X = 6) = C_{8,6}.(0.5)^{6}.(0.5)^{2} = 0.1094

P(X = 7) = C_{8,7}.(0.5)^{7}.(0.5)^{1} = 0.0313

P(X = 8) = C_{8,8}.(0.5)^{8}.(0.5)^{0} = 0.0039

P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2188 + 0.1094 + 0.0313 + 0.0039 = 0.3634

0.3634 = 36.34% probability that the Wilson family had at least 5 girls.

At most 5 girls?

This is:

P(X \leq 5) = 1 - P(X > 5)

In which

P(X > 5) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1094 + 0.0313 + 0.0039 = 0.1446

P(X \leq 5) = 1 - P(X > 5) = 1 - 0.1446 = 0.8554

0.8554 = 85.54% probability that the Wilson family had at most 5 girls.

You might be interested in
Jesse recorded the temperatures at which two oils freeze: Oil Temperature Sesame oil −6.2 °C Peanut oil 3.1 °C Which statement a
AVprozaik [17]

Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C

Step-by-step explanation:

Given that:

Freezing point of sesame oil = - 6.2°C

Freezing point of peanut oil = 3.1°C

Comparing the two temperatures :

Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).

Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.

Mathematically,

-6.2°C < 3.1°C

6 0
3 years ago
Read 2 more answers
You can model the entrance to a mine shaft using the equation
Furkat [3]

y=-1/2 2 (x+4)(x+-4+

-1/2*2 = -1

y=-1(x+4)(x-4)

solving for x

x - -4 and x =4

-4 to 4 = 8 feet

 width = 8 feet

4 0
3 years ago
Read 2 more answers
Simplify 17/20-1/5 explain your answer​
Llana [10]

Answer:

13/20

Step-by-step explanation:

Find a same denominator.

17/20 - 1/5 = 17/20 - 4/20

= 13/20

3 0
2 years ago
Find the perimeter and area
stepladder [879]

Answer:

32 times square root of 3.  is the perimeter, area is 48 times square root of 3

Step-by-step explanation:

4 0
3 years ago
Michelle went on a hike. She started on the trail at 6:45 a.m and returned at 3:28 p.m. How long did she hike?
Lerok [7]
D. Because if one time is a certain amount of time away from 12pm and the other one is a certain amout away from 12pm then you add them up and get a number of hours and minutes
8 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate tan 30° without using a calculator by using ratios in a reference triangle. Please Explain!
    6·2 answers
  • What is 3 positive numbers give the same result when multipleied and added together?
    15·2 answers
  • John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. Af
    9·1 answer
  • 10) Mrs. Jimenez bought some jeans to sell at her store. The wholesale
    7·1 answer
  • Rational expressions always contain logarithms. 1) Always true 2) Never true 3) Sometimes true
    6·1 answer
  • write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3​
    7·1 answer
  • Pls help test due soon!
    13·2 answers
  • Look at the two patterns below: Pattern A: Starts from 4 and follows the rule "add 9" Pattern B: Starts from 4 and follows the r
    11·1 answer
  • Help- its about multiplying fractions<br> Ahahahaha im finna fail
    9·2 answers
  • Rewrite the expression using radical notation.<br><br><img src="https://tex.z-dn.net/?f=14%28%20%5Cfrac%7B2%7D%7B5%7D%20%29" id=
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!