Chapter 5.1, Problem 1.2CYU

(a)

To determine

To find:

The probability that follows this outcome is impossible that means it can never occur

Answer to Problem 1.2CYU

  $0$ is never occur

Explanation of Solution

Given:

The table

$0$

$0.01$

$0.3$

$0.6$

$0.99$

$1$

Concept used:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Calculation:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Outcomes is impossible $=0$

That is $0$ is never occur

(b)

To determine

To find:

The probability that follows this outcome is certain .it will occur on every trail

Answer to Problem 1.2CYU

  $1$ is occur on every trail

Explanation of Solution

Given:

The table

$0$

$0.01$

$0.3$

$0.6$

$0.99$

$1$

Concept used:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Calculation:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Outcome is certain it will occur on every trial $=1$

That is $1$ is occur on every trail

(c)

To determine

To find:

The probability follows this outcome is very unlikely but it will occur once in a while long sequence of trials

Answer to Problem 1.2CYU

  $0.01$ will occur in about $1\%$ of trails

Explanation of Solution

Given:

The table

$0$

$0.01$

$0.3$

$0.6$

$0.99$

$1$

Concept used:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Calculation:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

The probability that follows this outcome is very unlikely but it will occur once in a while long sequence of trials $=0.01$

That means $\begin{array}{l}=0.01\times 100\\ =1\%\end{array}$

  $0.01$ will occur in about $1\%$ of trails

(d)

To determine

To find:

The probability follows this outcome will occur more than or not

Answer to Problem 1.2CYU

  $0.6$ will occur more than

Explanation of Solution

Given:

The table

$0$

$0.01$

$0.3$

$0.6$

$0.99$

$1$

Concept used:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

Calculation:

If an events occurred by A ways and non-occurred by B ways then

Probability of occurance $=\frac{A}{A+B}$

The probability of non occurance $=\frac{B}{A+B}$

The probability that follows this outcome will occur more than not $=0.6$

That means $0.6$ will occur more than not