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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

What of the following numbers could not be a probability explain. 13 0 89 1 54?

They are 13, 89 and 54 because probability is on a scale of from 1 to to 0

The probability of obtaining a sum greater 8 or less than 6?

The answer depends on what the experiment consists of. Since that is not specified, there can be no sensible answer.

Which of these is best used for displaying frequency distributions when one or two categories make up a large proportion of the total?

The answer depends on what is meant by two or more. If it refers to around 4 to 7 then a pie chart may be best: it depends on whether it is appropriate to lump all the remaining categories as an "other" category.

If there are 6 or more categories then a bar chart may be appropriate but again, that depends on whether lumping the remainder together as an "other" category makes sense.

If a person purchases 15 of 3000 tickets sold in a raffle that awards one prizewhat is the probability that this person not win?

The chances of winning would be 15/3000 or 1 in 200 (or 0.5%). That means the probability of NOT winning is 99.5 %

Four different sets of objects contain 2 4 6 and 7 objects respectively. How many unique combinations can be formed by picking one object from each set?

336

2 possibilities for the first

for each of these two you have 4 possibilities for the second - making it 8

for each of these 8 you have 6 possibilities for the third - making it 48 possibilities

for each of those 48 you have 7 possibilities for the fourth - making it 336 possible combinations

2x4x6x7 = 336

If the standard deviation is doubled what will be the effect on the confidence interval?

The confidence intervals will increase. How much it will increase depends on whether the underlying probability model is additive or multiplicative.

What is the probabiliyty of randomly picking a green card from a standard deck of playing cards?

To the best of my knowledge, a standard deck of playing cards only has black and red cards, so the odds are zero.

Ann recorded the effects of watching television on physical fitness. Which of these is a response variable?

Variables of interest in an experiment (those that are measured or observed) are called response or dependent variables. Other variables in the experiment that affect the response and can be set or measured by the experimenter are called predictor, explanatory, or independent variables.

  • Variable - not consistent or having a fixed pattern; liable to change

Physical fitness

Direct control is when possible extraneous factors are standardized?

Direct control : a control that is directly imposed upon the manufacturing, pricing, and distribution of specific goods in contrast with an indirect or general control (such as a credit and fiscal policy) that affects the economy in its entirety and specific goods only indirectly.

True

Maria recorded the effects of doing homework on her intelligence. Which of these is a control variable?

The control variable (or scientific constant) in scientific experimentation is the experimental element which is constant and unchanged throughout the course of the investigation.

Doing Homework

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