Chapter 5 Flashcards

1
Q

Density function

A

ANy f(x) function that can be used for the probability distribution of a continuous random variable

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2
Q

Density function conditions

A
  1. For all numbers f(x)greater or equal to 0, the graph never drops below the x axis
  2. The area under the region f(x) is 1
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3
Q

Normal distribution

A

The probability distribution corresponding with a density function for a bell curve with mean and standard deviation parameters

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4
Q

Normal random variable

A

A continuous random variable that is described by the parameter of normal distribution

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5
Q

Relationship with SD and probability

A

Inverse relationship (SD increases probability decreases etc.)

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6
Q

Standard normal distribution

A

A normally distributed random variable with mean of 0 ad SD of 1

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7
Q

Left area

A

P(Z<z-score)

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8
Q

Right area

A
  1. 1-Left area
  2. P(Z<-z)
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9
Q

Area between
P(z_1<Z<z_2)

A

P(Z<z_2)-P(Z<z_1)

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10
Q

Finding a standard normal variable for a given area

A
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11
Q

Probability for general normal random variables

A

P(a<x<b)=P(zscore of a<Z<zscore of b)

-Z denoted a standard normal random variable
-a can be any number from -inf and above
-b can be any number from inf and below

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12
Q

Tail distribution

A

A certain max or minimum (x*) is stated by the question and you need to find the probability of that happening

To do this you need to find z* which is just the z-score of x* and then answering the question by finding what value you are trying to find (x* or the value that is min/max for x* to be true)

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