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Vsevolod [243]
3 years ago
13

1. Probability The collection of all the possible outcomes in an experiment is called the The sum of the probabilities of all ou

tcomes must equal If an event is very unlikely to happen, its probability will be If two events cannot occur at the same time, those events are said to be If, however, an event’s occurrence has no impact on another event, those two events are said to be Suppose you have two events that are equally likely to occur. This means
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

1) Sample space

2) 1

3) 0

4) Mutually exclusive or disjoint

5) Independent events

6) Chance of happening is equal of two events

Step-by-step explanation:

  1. The collection of all the possible outcomes in an experiment is called the Sample space.
  2. The sum of the probabilities of all outcomes must equal one, 1.
  3. If an event is very unlikely to happen, its probability will be zero, 0.
  4. If two events cannot occur at the same time, those events are said to be mutually exclusive or disjoint.
  5. If, however, an event’s occurrence has no impact on another event, those two events are said to be independent events.
  6. Suppose you have two events that are equally likely to occur. This means chance of happening is equal of two events.  In other words, events are said to be equally likely when one event does not occur more often than the other event.
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A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la
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Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

p=X/n=640/800=0.8

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03

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