Statistics

Statistics
Probability: Projection of the future using statistics. Statistics: Is regarding pasts events
Project description
Probability: Projection of the future using statistics. Statistics: Is regarding pasts events

please answer the questions
MFET 2410 Exam 3 Review

Statistics: Is regarding pasts events

Probability: Projection of the future using statistics

Calculate simple probabilities (probability of rolling 3 sixes in a row, drawing an ace from a deck of cards, having five boys in a row)

Binomial Distribution
Identify a binomial experiment
The experiment consists of nrepeated trials.
Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
The probability of success, denoted by P, is the same on every trial.
Determine if an example problem is a binomial, passion, or continuous data

Able to interpret minitab output for a binomial distribution both individual vales of probability and cumulative probability.

Binomial with n = 10 and p = 0.75

x P( X = x )
0 0.0000010
1 0.0000286
2 0.0003862
3 0.0030899
4 0.0162220
5 0.0583992

Binomial with n = 10 and p = 0.75

x P( X <= x )
0 0.0000010
1 0.0000296
2 0.0004158
3 0.0035057
4 0.0197277
5 0.0781269

As the probability of the event occurring in a binomial distribution what happens to the distribution?

Passion’s Distribution
Identify a passion experiment

Determine if an example problem is a binomial, passion, or continuous

Able to interpret minitab output for a passion distribution both individual and cumulative probability.

Poisson with mean = 2.5

x P( X = x )
0 0.082085
1 0.205212
2 0.256516
3 0.213763
4 0.133602
5 0.066801

Poisson with mean = 2.5

x P( X <= x )
0 0.082085
1 0.287297
2 0.543813
3 0.757576
4 0.891178
5 0.957979

Normal Distribution

What does the mean determine?

What does the standard deviation determine?

Converting values from the distribution to the standard normal curve
Z = (value – mean) / standard deviation

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Know how to calculate the z-score and find the area under the curve.

Know how the standard deviation effect the distribution and the mean

Interpret minitab output for normal distribution

Normal with mean = 3 and standard deviation = 1

x f( x )
0 0.004432
1 0.053991
2 0.241971
3 0.398942
4 0.241971
5 0.053991
Normal with mean = 3 and standard deviation = 1

x P( X <= x )
0 0.001350
1 0.022750
2 0.158655
3 0.500000
4 0.841345
5 0.977250