(b) Calculate the missing value of $$ \mathbf{B} $$, if the mean waiting time is 34 minutes.

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To find the missing value of $$ \mathbf{B} $$ given that the mean waiting time is 34 minutes, we need to follow these steps:

1. **Understand the Mean Formula**: The mean (average) is calculated by dividing the sum of all values by the number of values. The formula for the mean $$ \mu $$ is given by:

$$
   \mu = \frac{S}{N}
   $$

where $$ S $$ is the sum of all values and $$ N $$ is the number of values.

2. **Identify Known Values**: 
   - Mean waiting time $$ \mu = 34 $$ minutes.
   - Let’s assume we have a set of values including $$ \mathbf{B} $$ and other known values. For example, if we have values $$ A, B, C, \ldots $$, we need to know how many values there are (let's denote this as $$ N $$) and the sum of the known values (let's denote this as $$ S' $$).

3. **Set Up the Equation**: If $$ \mathbf{B} $$ is the missing value, the equation for the mean can be rearranged to find $$ \mathbf{B} $$:

$$
   34 = \frac{S' + B}{N}
   $$

Rearranging gives:

$$
   S' + B = 34N
   $$

Thus,

$$
   B = 34N - S'
   $$

4. **Calculate $$ B $$**: To find $$ B $$, we need the values of $$ N $$ and $$ S' $$. If you provide the number of values and the sum of the known values, I can calculate $$ B $$ for you.

Please provide the necessary information about the other values or the total number of values so we can proceed with the calculation.
To find the missing value $$ \mathbf{B} $$, use the mean formula: $$ \mathbf{B} = 34N - S' $$ Where: - $$ N $$ is the total number of values. - $$ S' $$ is the sum of the known values. Provide $$ N $$ and $$ S' $$ to calculate $$ \mathbf{B} $$.

(b) Calculate the missing value of \( \mathbf{B} \), if the mean waiting time is 34 minutes.

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