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SSSSS [86.1K]
3 years ago
14

Consider a biased coin with the probability of turning up head 0 < p < 1. We flip the coin 10 times and get a sequence of

outcomes: {T, H, H, T, T, H, H, H, T, H}. We know that the probability (likelihood) of observing this sequence.
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

Probability of obtaining 6H and 4T = 0.2051

Step-by-step explanation:

Since for a fair coin,

Probability of obtaining Head = 0.5

p = 0.5

q = 1-p = 0.5

Probability of obtaining 6H and 4T = 10C6 (p)^6(q)^4 = 210*0.5^6*0.5^4

P(6H, 4T) = 0.2051

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Answer:

0.877 but rounded it will be 0.88

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A weather forecast says that there is a 40% chance of rain today find the odds against rain
san4es73 [151]

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60%

Step-by-step explanation:

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4 0
2 years ago
A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0
3 years ago
Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.
Over [174]

Answer:

y = 8(-\frac{1}{2})^x

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points (4, \frac{1}{2}) and (3, -1)

For the point (4, \frac{1}{2}),

\frac{1}{2}=a(b)^4 ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

\frac{\frac{1}{2}}{-1} = \frac{a(b)^4}{a(b)^3}

-\frac{1}{2}=b^{(4-3)}

-\frac{1}{2}=b

From equation (2)

-1 = a(-\frac{1}{2})^3

-1 = -\frac{1}{8}a

a = 8

Therefore, equation of the exponential function will be,

y = 8(-\frac{1}{2})^x

4 0
2 years ago
How many times does 19 go into 115
laila [671]
It goes in six times
3 0
3 years ago
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