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kirill115 [55]
3 years ago
6

Someone help answer the bottom 4 pls I'll brainlist u !!​

Mathematics
1 answer:
NISA [10]3 years ago
3 0
Hdhdhdhpenishdhdhdhdhindhhdhdhyourhdhdhdhdhdhnouthdhhdhdhdh
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An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
2 years ago
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
ArbitrLikvidat [17]

Answer:

1. y = (⅔)x - 3

2. y = 3x + c

3. 1) non-proportional

2) can be proportional if c = 0

Step-by-step explanation:

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

y = 3x + c

3. Lable the 2 equations as proportional or non-proportional and why.

A proportional relation should pass through the origin, i.e the y-intercept should be 0

3 0
3 years ago
Solve log660 – log630.
Misha Larkins [42]
The answer would be log62...
6 0
3 years ago
Read 2 more answers
15<br>a) 5<br>5 +<br>8<br>27<br>of 1<br>+<br>99<br>5​
velikii [3]

Answer:

5 5 + 8 27 of 1 + 99 5​= 150

Step-by-step explanation:

Add the expressions.

7 0
3 years ago
What is the axis of symmetry for f(x) = 2x − 8x + 8? (1 point) Select one: a. x = −2 b. x = −3 c. x = 3 d. x = 2
ExtremeBDS [4]

Answer:

x=2

Step-by-step explanation:

F(x) = 2x^2 - 8x +8

Axis of symmetry lies at the x coordinate of vertex

To find x coordinate of vertex use formula

x=\frac{-b}{2a}

from the given f(x) , a= 2 and b = -8

Plug in all the values

x=\frac{-(-8)}{2(2)}

x=\frac{8}{4}=2

x=2

So the axis of symmetry at x=2

6 0
3 years ago
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