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Digiron [165]
3 years ago
14

Joe owns a stock which has probability .5 of going up. This morning, he bought a ticket in a lottery game which gives him a prob

ability .0001 of winning. What is the probability that Joe's stock will go up and he will win in the lottery
Mathematics
2 answers:
marissa [1.9K]3 years ago
4 0

Answer:

0.00005

Step-by-step explanation:

All you would have to do is .5 * .0001 which gives you .00005

Anit [1.1K]3 years ago
3 0

Answer:

The probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

Step-by-step explanation:

Let the events be denoted as:

<em>X</em> = the stock goes up

<em>Y</em> = Joe wins the lottery

Given:

P (X) = 0.50

P (Y) = 0.0001

The events of the stock going up is not dependent on the the event of Joe winning the lottery.

So the events <em>X</em> and <em>Y</em> are independent of each other.

Independent events are those events that can occur together at the same time.

The joint probability of two independent events <em>A</em> and <em>B </em>is,

P(A\cap B)=P(A)\times P(B)

Compute the value of P (<em>X ∩ Y</em>) as follows:

P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005

Thus, the probability that Joe's stock will go up and he will win in the lottery  is 0.00005.

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ch4aika [34]

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

3 0
3 years ago
Read 2 more answers
Can anyone help me? Thank you! ^-^​
I am Lyosha [343]

Answer: x<16

Step-by-step explanation: Mason subtracted 5 from 11 and got 6, when he really should have added 5 to 11 to get x<16.

4 0
3 years ago
Can anybody help me out with this question or gets it
user100 [1]
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3 0
3 years ago
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

Z = \frac{X - \mu}{\sigma}

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

Z = \frac{X - \mu}{\sigma}

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
2 years ago
jennifer deposited $2500 in her savings account. her account compounds interest continuously at a rate of 6.5%. How long will it
kiruha [24]

Answer:

2.8 years

Step-by-step explanation:

continuous compounding formula:

A = Pe^rt

3000 = 2500e^.065t

ln(6/5) ÷ .065 ≈ 2.8 years

3 0
2 years ago
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