Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is 
.
Step-by-step explanation:
It is provided that:
- Eric throws a biased coin 10 times. He gets 3 tails.
- Sue throw the same coin 50 times. She gets 20 tails.
The probability of tail in both cases is:
(1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
Thus, the probability that Aadi will get Tails is .
Answer: The total cost of computer would be $719.95
Step-by-step explanation:
I use proportions for these types of problems so we begin with a proportion!
20/100=x/849
100x=16980
x=169.80
Then, after finding how much the discount is, we would subtract it.
849-169.80=679.20
Next, we would find the tax amount with another proportion to find what 6 percent of 679.20 is.
6/100=x/679.20
100x=4075.2
x=40.75
Lastly, we would add the tax, $40.75, plus the total after the discount, $679.20!
Hope this helps! Good luck! (:
Answer:
About 19.45%
Step-by-step explanation:
First set the fraction equal to x over 100 ———- (70/360)=(x/100)
cross multiply———- 70 * 100 = 7000 360 * x = 360x
solve for x —————- 7000=360x
7000/360= 19.44444444
Round ——- x=19.45
OR
Divide fraction ———— 70/360 = 0.1944444444
Next, convert to percentage by moving decimal 2 places to the right ——
019.44444444
Round ————- = 19.45
The amount of money, in dollars, in an account after t years is given by a = 1000 (1.03) T. The initial deposit into the account was $1000 and the interest rate is 3% per year. Hope this helps.
Answer:
The desviation is 8 4/7 or 8.571
Step-by-step explanation:
The conversion for any variable X to a standard z is
![Z=\frac{X-\[Mu]}\\{\[Sigma]}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5C%5BMu%5D%7D%5C%5C%7B%5C%5BSigma%5D%7D)
where mu is the mean and sigma de desviation
You can find the value of Z whith the tables of the accumulated probability function. The accumulated probability for the mean is 0.5 .Remenber that the accumlated probability function represent the area at the left of an abscissa. Then
0.5+0.3531=0.8531
Acording to the accumulated probability function table, a Z=1.05 has an area of 0.8531 at its left.
Now it is only solving the equation
![\[Sigma]=\frac{X-\[Mu]}{Z}](https://tex.z-dn.net/?f=%5C%5BSigma%5D%3D%5Cfrac%7BX-%5C%5BMu%5D%7D%7BZ%7D)
σ=
σ=8.571
