(5 •10^16) • (2.8 • 10^-7)

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

3 years ago

(question is on picture linked)

nalin [4]

here y+13=15

so we got y=2

then y+13+x+12=30

then we will get x=3

7 0

3 years ago

What operation is used to change a PERCENT to a DECIMAL?

ZanzabumX [31]

To convert a percent to a decimal, we divide by 100. This is the same thing we do to convert a percent to a fraction.

3 0

3 years ago

Read 2 more answers

You sell lemonade around town and you can make $0.30 from each bottle of lemonade. The total amount of money you earn is 0.3b, w

noname [10]

Answer:

$9

Step-by-step explanation:

Cost per bottle of Lemonade = $0.30

Let b represent the number of bottles that you sell which is given as:

30 bottles

Equation for solving

= 0.30 × b

= 0.30b

Hence,

Total cost for 30 bottles of Lemonade is:

0.30 × 30

= $9

Hence, you can make $9 from selling 39 bottles of Lemonade.

6 0

3 years ago

Lara and her brothers are painting a wall. Lara paints 28 of the wall. Chuck and Max each paint 38 of the wall. How much of the

Sergeu [11.5K]

104 wall because 38+38 is 76 and 76+28 is 104

4 0

3 years ago