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Lelu [443]
3 years ago
14

What is the probability of flipping exactly 6 heads when you flip 6 coins? Please explain your answer and those who waste an ans

wer space shall be reported. Also the best answer will get brainliest
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by

(nCx).(p^x)⋅((1−p)^(n−x))

Where success on an individual trial is represented by p.

In the given question, obtaining heads in a trial is the success whose probability is 1/2.

Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))

= 1/(2^6)

= 1/64

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Would lengths of 15 inches, 10 inches and 6 inches form a triangle
Firdavs [7]

Answer:

Yes

Step-by-step explanation:

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8. Draw a number line and place the following it 4/8 0.25 3/4 0.5 0 1/2 1
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The correct order is: 0.25, 4/8=0.5 so they go above each other, 3/4
5 0
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Madison needs to buy enough meat to make 1,000 hamburgers for the company picnic. Each hamburger will weigh 0.25 pound. How many
Lelechka [254]

Answer:

Madison needs to buy 250 pound of meat

Step-by-step explanation:

6 0
2 years ago
Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis
wariber [46]

Answer:

a) P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

b) P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{30000})

The cumulative distribution function is given by:

F(X) = 1- e^{-\frac{x}{\mu}}

Part a

We want to find this probability:

P(X>30000) and for this case we can use the cumulative distribution function to find it like this:

P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

Part b

For this case w want to find this probability

P(X>30000|X>15000)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)  

On this case if we use this property we have this:P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)

We can use the definition of the density function and find this probability:

P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

7 0
3 years ago
Part B
Nutka1998 [239]

Answer:

if you are asking what the measure of the other angle is if it's just two angles and they are supplementary, the answer is 145º

Step-by-step explanation:

Supplementary angles would add up to equal 180º.

Angle W, which we already know is 35º.

Let's just call the other angle "x" for now.

1. Since we know the two angles will equal 180º, we can do x + 35= 180

2. Now we have the equation set up, and we can subtract 35 from each side

3. Once you subtract 35 from each side, you get x = 145º, which is your answer!

5 0
3 years ago
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