You have thoroughly mixed 10 million cells in 10 mL of tissue culture medium to be...

You have thoroughly mixed 10 million cells in 10 mL of tissue culture medium to be plated in 96 wells of a microliter plates, delivering 100 microliters per well.

a. What is the probability that a well will have no cells in it?

b. What is the probability that a well have one cell?

c. What is the probability that a well will have 3 cells or more?

Expert Solution

Answer:

Based on the given information:

Total number of wells = 96
Total volume of media (containing cells) used for delivering in 96-well plate = 96 *100ul = 9600ul (9.6ml)
Concentration of cells = 10 million cells / 10ml = 1 million cells / ml = 10⁶ cells/ml = = 10⁶ cells/1000ul
Volume delivered in 96-well microtiter plate (per well) = 100ul
Average number of cells in a single well of microtiter plate = 10⁶ / 10 = 10⁵ cells / well
The distribution of cells follows a poisson distribution.

a. What is the probability that a well will have no cells in it? b. What is the probability that a well have one cell?

Since the tissue culture medium is thoroughly mixed, therefore each well is expected to contain around 100000cells. The probability that a well will have no cells or one cell in it is close to 0.

c. What is the probability that a well will have 3 cells or more?

The probability that a well will have 3 cells or more will be close to 1.

gladiator answered 1 year ago

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