for 100 neurons, the table summarizes the distribution of classification and cell body diameter. one of…

for 100 neurons, the table summarizes the distribution of classification and cell body diameter. one of these neurons will be selected at random. what is the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers, given that it is not classified as a motor neuron? (express your answer as a decimal or fraction, not as percent.)

for 100 neurons, the table summarizes the distribution of classification and cell body diameter. one of these neurons will be selected at random. what is the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers, given that it is not classified as a motor neuron? (express your answer as a decimal or fraction, not as percent.)

Answer

Explanation:

Step1: Calculate non - motor neurons

The total number of non - motor neurons is the sum of sensory and interneurons. So, $(13 + 7+3)+(10 + 34+0)=70$.

Step2: Calculate non - motor neurons with diameter ≤ 30

The number of non - motor neurons with cell body diameter less than or equal to 30 micrometers is $(13 + 7)+(10 + 34)=64$.

Step3: Calculate the conditional probability

The conditional probability formula is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers given that it is not classified as a motor neuron is $\frac{64}{70}=\frac{32}{35}$.

Answer:

$\frac{32}{35}$