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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

Construct an 80 percent confidence interval for the true population mean given that the standard deviation of the population is 6 and the sample mean is 18?

THe answer will depend on whether the confidence interval is central or one-sided. If central, then

-1.28 < z < 1.28

-1.28 < (m - 18)/6 < 1.28

-7.68 < m - 18 < 7.68

10.3 < m < 25.7

Why diamond king in playing cards has one eye?

He is supposed to be the king ceaser. who was one eyed. He had lost one eye during the war.

What is the probability to have 2 girls and a boy in a family?

The 8 possible outcomes for three children are:

* ggg

* ggb

* gbg

* gbb

* bgg

* bgb

* bbg

* bbb

Of these, two girls and a boy occurs 3 out of 8 times, which is a probability of 0.375. This assumes that the probability of a boy and girl being in the family is equal, which is not entirely true for a large number of reasons.

How many cards must chosen from a deck of 52 cards to guarantee that at least two of the four aces and at least two of the 13 kinds are chosen?

Since 48 cards of a 52-card deck are not aces, you are guaranteed to have at least two aces only if you have at least 50 cards.

Since there are four suits for each rank, you are guaranteed to have at least two ranks whenever you have at least five cards.

Everything about the m-1 garand?

Scott Duff has a book that is very good.

Everything is a lot to ask for on the computer, so I suggest you follow the above advice and read the book, but here are a few highlights. Like most inventors, John Garand was somewhat eccentric. The Garand rifle was originally chambered for the .276 Pederson cartridge, but Doug MacArthur was Chief of Ordinance in the 30's and he decreed (wisely in my opinion) that all US rifle-caliber weapons be 30-06, reducing the M-1 Garand's capacity from ten to eight rounds. The M1903 sling was also compatible with the Garand, and the US ammo pouch accepted the 8-round Garand clips as easily as the 5-round M1903 clips. The M-1 Garand was adopted by the US Army in 1936 but produced in small numbers. In 1941 the Garand rifle beat the Johnson rifle and the M1903 as the USMC rifle. After the US entered the war, production could not keep up with demand, and an M-1 Garand was not in the hands of every American rifleman until 1943-44, although the M1903 continued for sniping and grenade-launching. The Germans had a semi-automatic rifle called the Gewehr 43 which was a good semi-automatic weapon, but simply was not as reliable and robust as the M1 (due to being made of crude parts and machining from mass supply shortages) nor was it as easly to produce or mantain in the field as the Garand rifle, so it was used mostly as a sniping rifle instead of a battle rifle, even then, it was very rare to encounter since it was never mass produced. The M-1 rifle fought again in Korea with the US and other armies, and it was replaced by the the M-14 in 1956. The US M-14 and the Italian BM59 are near-copies of the M-1 Garand in operation, but firing the smaller .308 Winchester cartridge.

How do you find the variance of a set of numbers?

1. Find the arithmetic mean (average)

2. Find the distance of each number from the mean (x-the mean=?)

3. Square each number

4. Add up all of the squares

5. Divide the final sum by the original mean

EX: Set: 1, 3, 4, 5, 7

1. 1 + 3 + 4 + 5 + 7 = 20 / 5 = 4

2. 1-4=-3 3-4=-1 4-4=0 5-4=17-4=3

3. 3*3=9 1*1=1 0*0=0 1*1=13*3=9

4. 9 + 1 + 0 + 1 + 9 = 20

5. 20 / 4 = 5

What is the probabiltiy that a coin will land on heads in six tosses?

The probability that a coin will land on heads - at least once - in six tosses is 0.9844

What kinds of things follow the normal distribution?

  • heights of people
  • size of things produced by machines
  • errors in measurements
  • blood pressure
  • marks on a test

How many ways can the word Bronx be arranged?

The number of ways that the letters B-R-O-N-X can be arranged is the same as the number of permutations of 5 things taken 5 at a time, which is 5 factorial, or 120.

What is sequence in probability?

There is no relationship between sequences and probability.

How many way can you arrange the word home?

The 4 letters can be arranged in 24 different sequences.

Can -0.2 express a probability?

No, we can't expression any negative value as a probability. A probability ranges from 0 to 1 - 0 being the lowest and 1 being the highest.

What is the probability of not getting a 2 or not getting a 5?

The answer depends on what the experiment is: drawing a card, rolling a die, with a spinner, ...

The answer depends on what the experiment is: drawing a card, rolling a die, with a spinner, ...

The answer depends on what the experiment is: drawing a card, rolling a die, with a spinner, ...

The answer depends on what the experiment is: drawing a card, rolling a die, with a spinner, ...

What is probability and how does it helps?

Probability is the calculation of the extent to which something is probable (the likelihood of something happening or being the case). Probability helps staticians and other people to have a better understanding of what is to come in the future. Ex: If I have a bag of 10 colored marbles where five of them are blue and five of them are red, once I pull out a certain number of red and blue marbles I still know the ratio of red to blue marbles in the bag though it may have changed.