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rusak2 [61]
3 years ago
5

Please answer all

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

Give me these points

Step-by-step explanation:

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A couple intends to have two children, and suppose that approximately 52% of births are male and 48% are female.
Pachacha [2.7K]

a) Probability of both being males is 27%

b) Probability of both being females is 23%

c) Probability of having exactly one male and one female is 50%

Step-by-step explanation:

a)

The probability that the birth is a male can be written as

p(m) = 0.52 (which corresponds to 52%)

While the probability that the birth is a female can be written as

p(f) = 0.48 (which corresponds to 48%)

Here we want to calculate the probability that over  2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male  does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:

p(mm)=p(m)\cdot p(m)

And substituting, we find

p(mm)=0.52\cdot 0.52 = 0.27

So, 27%.

b)

In this case, we want to find the probability that both children are female, so the probability

p(ff)

As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:

p(ff)=p(f)\cdot p(f)

And substituting

p(f)=0.48

We find:

p(ff)=0.48\cdot 0.48=0.23

Which means 23%.

c)

In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:

- The probability that 1st child is a male and 2nd child is a female, namely p(mf)

- The probability that 1st child is a female and 2nd child is a male, namely p(fm)

So, this probability is

p(mf Ufm)=p(mf)+p(fm)

We have:

p(mf)=p(m)\cdot p(f)=0.52\cdot 0.48=0.25

p(fm)=p(f)\cdot p(m)=0.48\cdot 0.52=0.25

Therefore, this probability is

p(mfUfm)=0.25+0.25=0.50

So, 50%.

Learn more about probabilities:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

5 0
3 years ago
There are 294 boys and 322 girls in the hill school. how many students are in the school.
lys-0071 [83]
I think it's 616 that what I got but I'm not sure
7 0
3 years ago
a baseball diamond is square with each base 90 feet apart, Andy is starting on first base while his teammate Logan is standing b
hodyreva [135]

Answer:

Logan is 45 feet from second base.

Step-by-step explanation:

If you divide 90 by 2 because is 1/2 away then it would be 45

8 0
3 years ago
Read 2 more answers
Rudy collects baseball cards, and he currently has 300 cards. Starting tomorrow, he will purchase 1 pack of 15 baseball cards ev
Delvig [45]

Answer:

To find the number of cards, you must use the equation c = 300 + 17d. Collecting your known information in an organized form will be realllly helpful now and in the future. C represents the number of cards, while D represents the number of days!

Step-by-step explanation:

Starting with the original amount, which is 300---->

Here is the answer:

15 - 1 + 3 = 17 extra cards per day

3 0
3 years ago
Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
valentinak56 [21]

Mr. and Mrs. Lorenzo have saved $38,430 for the home they want to buy

Information about the problem:

  • Initial cost = $213,500
  • Savings = 18%.
  • Final savings =?

To solve this exercise we have to apply the percentage formula:

Final savings = initial cost * savings / 100

Final savings = $213,500 * 18 / 100

Final savings = $213,500 * 0.18

Final savings = $38,430

<h3>What is a percentage?</h3>

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

3 0
2 years ago
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