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Delicious77 [7]
2 years ago
11

High Points!!!

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

Answer:

A

Step-by-step explanation:

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Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one anothe
scZoUnD [109]

Answer:

a) P(male=blue or female=blue) = 0.71

b) P(female=blue | male=blue) = 0.68

c) P(female=blue | male=brown) = 0.35

d) P(female=blue | male=green) = 0.31

e) We can conclude that the eye colors of male respondents and their partners are not independent.

Step-by-step explanation:

We are given following information about eye colors of 204 Scandinavian men and their female partners.

              Blue    Brown     Green    Total

Blue        78         23            13          114

Brown     19         23            12          54

Green     11           9             16          36

Total      108       55            41          204

a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?

Using the addition rule of probability,

∵ P(A or B) = P(A) + P(B) - P(A and B)

For the given case,

P(male=blue or female=blue) = P(male=blue) + P(female=blue) - P(male=blue and female=blue)

P(male=blue or female=blue) = 114/204 + 108/204 − 78/204

P(male=blue or female=blue) = 0.71

b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=blue) = 78/114

P(female=blue | male=blue) = 0.68

c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=brown) = 19/54

P(female=blue | male=brown) = 0.35

d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?

As per the rule of conditional probability,

P(female=blue | male=green) = 11/36

P(female=blue | male=green) = 0.31

e) Does it appear that the eye colors of male respondents and their partners are independent? Explain

If the following relation holds true then we can conclude that the eye colors of male respondents and their partners are independent.

∵ P(B | A) = P(B)

P(female=blue | male=brown) = P(female=blue)

or alternatively, you can also test

P(female=blue | male=green) = P(female=blue)

P(female=blue | male=blue) = P(female=blue)

But

P(female=blue | male=brown) ≠ P(female=blue)

19/54 ≠ 108/204

0.35 ≠ 0.53

Therefore, we can conclude that the eye colors of male respondents and their partners are not independent.

7 0
2 years ago
A train travels at a constant rate of 45 miles per hour.
givi [52]
A. d=45t
b. 112.5 miles. 112.5=45•2.5
6 0
3 years ago
Read 2 more answers
The sum of two numbers is 12 and their difference is 4. What are the two<br> numbers?
guapka [62]

Answer:

<u>8 and 4</u>

Step-by-step explanation:

8 + 4 = 12

8 - 4 = 4

4 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?
bogdanovich [222]

Answer:

Seven-thirds

Step-by-step explanation:

The give equation is f(x)=9x^8+9x^6-12x+7.

The leading coefficient is 9

The constant term is 7

According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.

Base on this theorem, \frac{7}{3} or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.

5 0
3 years ago
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A pack of 5 book costs $18.75. A pack of 3 books $12.75. Which pack has the the lowest cost per books (hint - find the unit rate
vredina [299]
18.75÷5=3.75
12.75÷3=4.2
The pack of 5 books has the lower cost per book
4 0
2 years ago
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