STA 119 Study Guide  Random Variable, Stick Figure, Probability Mass Function
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I am learning about seeding wells and I am honestly confused with the whole process, such as the calculations, what is a surface area of a 6 well or 24 well plate and how am I supposed to use the information below for this process? Can someone explain what this information means below and how I can use this information when seeding cells in lab? Thank you.
3T3 18hr doubling time  Final count on confluent plate  2 days ahead # cells to seed  3 days ahead # cells to seed  4 days ahead # cells to seed 
3cm or 6 well  1 x 10^{6}  2.5 x 10^{5}  1 x 10^{5}  2.5 x 10^{4} 
6cm or T25  2 x 10^{6}  5 x 10^{5}  2 x 10^{5}  5 x 10^{4} 
10cm  5 x 10^{6}  1.25 x 10^{6}  5 x 10^{5}  1.25 x 10^{5} 
These are approximate
E63 or CV1 19hr doubling time  Final count on confluent plate  2 days ahead # cells to seed  3 days ahead # cells to seed  4 days ahead # cells to seed 
3cm or 6 well  5 x 10^{5}  1 x 10^{5}  5 x 10^{4}  
6cm or T25  1 x 10^{6}  2 x 10^{5}  1 x 10^{5}  
10cm  2 x 10^{6}  5 x 10^{5}  2 x 10^{5} 
Seeding: 2 day = 48 hr, 3 day = 72 hr
3T3 cells are smaller than E63s so more is needed for seeding
If cell seeding density is known for 10cm dish, for a 6cm dish, divide by 3 and round up.
Useful formula to calculate total cells for final count
2^{P}x = final count on plate
Where 2 represents doubling
x is the initial number of cells
P is the number of periods in time frame
So, in four days for a cell with an 18 hour doubling time, there are 5.3 doubling periods
Tissue culture vessel  Surface growth area  Volume of media  Volume of trypsin 
35mm dish  9.0cm^{2}  2.0ml  0.20.3ml 
60mm dish  21.0cm^{2}  4.0ml  0.50.6ml 
100mm dish  56.75cm^{2}  10.0ml  1.0ml 
T25 flask  25cm^{2}  7.08.0ml  0.50.8ml 
T75 flask  75cm^{2}  2030ml  1.0ml 
T175 flask  175cm^{2}  4555ml  2.0ml 
6 well multiwell plate  9.6cm^{2} per well  2.0ml per well  0.20.3ml per well 
12 well multiwell plate  3.8cm^{2} per well  1.0ml per well  0.10.2ml per well 
24 well multiwell plate  2.0cm^{2} per well  0.81.0ml per well  0.080.10ml per well 
48 well multiwell plate  0.75cm^{2} per well  0.50.8ml per well  0.050.08ml per well 
96 well multiwell plate  0.32cm^{2} per well  0.10.2ml per well  0.010.02ml per well 
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season
x 
P(x) 
0 
0.167 
1 
0.3289 
2 
0.2801 
3 
0.149 
4 
0.0382 
5 
0.0368

The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?
a.Compute the theoretical mean of the random variable X for the given probability distribution.
Meu = ?
b. Compute the theoretical standard deviation of the random variable X for the given probability distribution.
Sigma =?
c.Approximate the mean of the random variable X based on the simulation for 25 games.
Xbar=?
d. Approximate the standard deviation of the random variable X based on the simulation for 25 games.
S=?
The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season x P(x) 0 0.167 1 0.3289 2 0.2801 3 0.149 4 0.0382 5 0.0368 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? a.Compute the theoretical mean of the random variable X for the given probability distribution. Meu = ? b. Compute the theoretical standard deviation of the random variable X for the given probability distribution. Sigma =? c.Approximate the mean of the random variable X based on the simulation for 25 games. Xbar=? d. Approximate the standard deviation of the random variable X based on the simulation for 25 games. S=?