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ozzi
2 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]2 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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Given the line has to go through (0, 3) and is PARALLEL to y= -4x+6. Which is the correct equation of the line
ivanzaharov [21]

Answer:

y=-4x+3

Step-by-step explanation:

The slopes of 2 parallel lines will always be the same, so we plug in the ordered pair to find the y intercept

<u>Hope this helps :-)</u>

8 0
3 years ago
The total surface area of a cuboid is 112cm^2. find the value of x. values given: 10cm and 2cm.
Tatiana [17]

Answer:

x= 5.6

Step-by-step explanation:

we will need to put the information we currently have into an equation:

10•2•x= 112

then multiply 10•2 which equals 20...then the equation wil turn out like this:

20•x=112

now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...

20/20•x=112/20

you will end up with x= 122/20

you can use a calculator for this step, but  to practice long division... (check the screen shot thingie)

hope this helped !! ^^

6 0
3 years ago
In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m
Olenka [21]

Consider \Delta AOB\cong \Delta BDC.

Given:

\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.

To find:

The length of BC.

Solution:

We have,

\Delta AOB\cong \Delta BDC

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

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5\ m=BC

The length of BC is 5 m. Therefore, the correct option is A.

5 0
2 years ago
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malfutka [58]
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d = 6t + 2
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4 0
3 years ago
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Troyanec [42]
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3x + 3 = 20
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