Find the binomial distribution for flipping a coin 3 times, where “heads” is a success. p(k successes) = nck pk(1 – p)n – k p(0 successes) = 3c0(0.5)0(0.5)3 = p(1 success) = p(2 successes) = p(3 successes) =

Probability of an events is its chance of occurrence .The probabilities of flipping heads are

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be k successes is given by

For the given case, the number of Bernoulli trials are 3.

Each coin have half probability for head or tail outcome(as coins are fair(assumed) and only two outcomes, so they take half of the total probability which comes as 0.5)

Thus, p = 1 - p = 0.5

Thus, if X is tracking the number of "heads" in this case, we get:

Using the above probability function, we get the probabilities as:

Thus,

The answers are

Learn more about binomial distribution here:

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Step-by-step explanation:

We know that the binomial distribution for k successes out of n experiments is given as:

Here we have k= number of heads.

p=probability of getting a head=1/2=0.5

and n=number of trials=3.

Hence,

Similarly,

Similarly,

Similarly,

Hence,

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total

168

step-by-step explanation:

i am pretty sure that the answer is 168