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allsm [11]
4 years ago
7

Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black

ball selected and we lose $1 for each white ball selected. Let X denote our winnings (where negative values are possible). Determine the possible values for X, then determine the probability mass function for X.
Mathematics
1 answer:
MA_775_DIABLO [31]4 years ago
5 0

Answer:

The objective of the problem is obtained below:

From the information, an urn consists of, 4 black, 2 orange balls and 8 white.

The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.

No winnings probability= 0.011

Probability of winning $1=0.3516

Probability of winning $2= 0.0879

Probability of winning $4= 0.0659

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Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y
Andrei [34K]

Answer:

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

<em>1) </em><em>x+y =25</em>

total earn in a week

<em>2) </em><em>x*$6 + y* $9 = $171</em>

<em />

<em>from equation 1</em>

x+y=25

x= 25-y

<em>we place the above derived equation in equation 2 </em>

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

x= 25-y

x= 25-7

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

3 0
4 years ago
Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his
Romashka-Z-Leto [24]

Answer:

\frac{1}{15}

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  \frac{1}{15}

3 0
3 years ago
Read 2 more answers
The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll
Orlov [11]

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

7 0
3 years ago
Find the area of each shaded sector. Round to the hundredths place.
kati45 [8]

Answer:

200

Step-by-step explanation:vbc i know

3 0
3 years ago
Consider the function f(x) = ex and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of
SIZIF [17.4K]

Answer: Option C

Step-by-step explanation:

If the graph of the function g(x)=f(x) +b  represents the transformations made to the graph of y= f(x)  then, by definition:

If b> 0 the graph moves vertically upwards.

If b the graph moves vertically down

In this problem we have the function g(x)=e^x+5 and our parent function is f(x) = e^x

therefore it is true that b =5 > 0

Therefore the graph of f(x)=e^x is moves vertically upwards by a factor of 5 units.

The answer is the Option C:  "The graph of g(x) is the graph of f(x) shifted up 5 units"

6 0
3 years ago
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