To find the probability of students with a mass between 64 and 67 kg, first we need to find the z-scores for those weights using the formula:
z = (X - μ) / σ
where X is the weight, μ is the mean (68 kg) and σ is the standard deviation (9 kg).
For X = 64 kg:
z1 = (64 - 68) / 9 = -0.4444
For X = 67 kg:
z2 = (67 - 68) / 9 = -0.1111
Next, we look up the probabilities associated with these z-scores in the standard normal distribution table.
The probability of a z-score of -0.1111 is 0.4562
The probability of a z-score of -0.4444 is 0.3289
Then, we find the difference between these probabilities:
0.4562 - 0.3289 = 0.1273
Therefore, the probability of students with a mass between 64 and 67 kg is 0.1273.
None of the given options match this result. So, the correct answer may not be included here.
Suppose the mass of students, in kg is N(68; 9) distributed. Find the probability of students with the mass between 64 and 67 kg.
0.9082
0.6293
0.2789
0.5375
0.3879
1 answer
1 answer