You flip a fair coin 10,000 times. Approximate the probability thatthe difference between the number of heads and the number of tails is at most 100.

E[X] = (np) (p+(1-p))^(n-1)

With n =10,000 and p=0.50 we get

E[X]= (10,000*0.50) (0.50+(1–0.50))^(10,000–1)

E[X] = 5,000(1)

So assuming the coin is fair (p=50%), then we can expect to get heads 5,000 times when the coin is tossed 10,000 times.

Step-by-step explanation:

Related Questions

What are 567 times 3

1,701

Step-by-step explanation:

Nicole just lit a new candle and then let it burn all the way down to nothing. Theinitial length of the candle was 12 inches and the candle burned at a rate of 1.5 inches
per hour. Make a table of values and then write an equation for L, in terms oft,
representing the length of the candle remaining unburned, in inches, t hours after the
candle was lit.

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Given: 44 - 2(3x + 4) = -18Prove: x = 9

Substitute 9 as x in the given function:
44-2(3(9)+4)=-18
Now check and see if the statement it true and simplify.
44-2(27+4)=-18
44-2(31)=-18
44-62=-18
-18=-18
You can see this is true !!
Show my work to answer this question .

Simplify the expression:
3+ – 5(4+ – 3v)

15v - 17

Step-by-step explanation:

3+ – 5(4+ – 3v) can be written as

3 - 5( 4 - 3v)

Expand and simplify

That's

3 - 20 + 15v

15v - 17

Hope this helps you

At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of$623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650? Answers Answer: And we can use the complement rule and we got: Step-by-step explanation: Previous concepts Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean". The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". Solution to the problem Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by: Where and Since the distribution of X is normal then the distribution for the sample mean is given by: And we can use the z score formula given by: And using this formula we got: And we can use the complement rule and we got: Answer: the probability is 0.49 Step-by-step explanation: Since the account balances at the large bank are normally distributed. we would apply the formula for normal distribution which is expressed as z = (x - µ)/σ Where x = account balances. µ = mean account balance. σ = standard deviation From the information given, µ =$1,637.52

σ = $623.16 We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds$1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

If m = 1/2, n= 1/4 , then m²+ n²