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ozzi
3 years ago
6

A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute t

he probability mass function of X.
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

The probability mass function is expressed as:

P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]

Step-by-step explanation:

This is not a binomial distribution. It is actually a negative binomial distribution. The probability mass function is expressed below:

P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]

where:

x = number of failures

r-1 = number of successes (10 in this scenario)

p = probability of a success

nCr = n!/[r!(n-r)!]

The main formula difference in the positive binomial versus negative binomial is this: With respect to the negative binomial, it is obviously  known that the last event will be: when we reach our 10th "head", we stop .

Thus, the last flip will ALWAYS be a "head".

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My next zoom class starts in a few so i need this 'riddle' done. tysm
charle [14.2K]

Answer:

5761

Step-by-step explanation:

First, let's find the digit in the tenths place. The quotient of 10 and 2 is 5 because 10/2 = 5. Next, the digit in the hundredths place is the product of 3.5 and 2. 3.5 * 2 = 7. The number in the thousandths place is the sum of the digit in the tenths place and the ten thousandths place, so we have to find the digit in the ten thousandths place first. It says that every number in the code is divisible by the digit in the ten thousands place. The factors of 5 are 1,5 and the factors of 7 are 1,7. The only number that is the same in both is 1, so the last digit must be 1. Knowing that information, we can add the digit in the tenths place (5) to the number in the ten thousandths place (1) to get the third digit (6). Now we place those digits in order: tens (5), hundredths (7), thousandths (6), and ten thousandths (1) to get 5761.

4 0
3 years ago
Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a functio
seraphim [82]

Answer:

pic has correct graph

domain and range in the highlighted pic are right

the relation is a function

Step-by-step explanation:

y=2x+5 has y-intercept 5 and slope 2

You have the correct pic for that.

The domain is the values of x that relation takes on, it takes on all real numbers so you have that part right.

The range is the values of y that relation takes on, it takes on all real numbers so you have that part right.

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3 0
3 years ago
Solve the equation <br> 3n-8=7
ZanzabumX [31]
Answer: n=5

Because...

3n-8+8=7+8
3n=15
Divide 3 in both sides...
n=5

8 0
3 years ago
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A po ang tamang sagot sana makatulong
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3 years ago
An element with a mass of 740 grams decays by 28.4% per minute. To the nearest minute, how long will it be until there are 30 gr
Genrish500 [490]

Answer:t=9.6 minutes

Step-by-step explanation:

Given

mass of element is A_o=740\ gm

Decay rate r=28.4\%\ \text{per minute}

and we know

Amount of exponential decay is given by

A=A_o[1-r]^t

Where A_0=\text{Initial amount}

\text{A=Accumulated amount}

\text{r=rate}

\text{t=time}

Substituting values we get

\Rightarrow 30=740[1-0.284]^t

\Rightarrow \dfrac{30}{740}=0.716^t

\Rightarrow 0.0405=0.716^t

taking log both sides we get

\Rightarrow\ \ln (0.0405)=t\times \ln (0.716)

\Rightarrow t=\dfrac{\ln (0.0405)}{\ln (0.716)}

\Rightarrow t=9.598\approx 9.6\ \text{minutes}

7 0
3 years ago
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