The value of a is 72.74.
<h3>What is Probability ?</h3>Probability is the study of likeliness of an event to happen.
It is given that
The mean of the distribution is 70
Standard deviation is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37
a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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Answer:
0.8753
Step-by-step explanation:
Calculate the probability that your job will be ready before 10.01 am
Here, the parameter of an Exponential is E(X)=12
Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ
Therefore, E(Y) =1/12
Here, The third job will be ready for 10:01 AM, then E(Y)=61/12
Therefore, the required probability is
=1- POISSON(3,5,true)
=1-0.1246
=0.8753