Answer:
0.0882
Step-by-step explanation:
Given that:
Mean(m) = 281
Standard deviation (s) = 33
Probability of weight between 291 and 299 gram
Obtain the standardized score (Zscore):
P (X ≤ 291)
Zscore = (x - m) / s
Zscore = (291 - 281) / 33
Zscore = 10 / 33 = 0.303
P(Z ≤ 0.303) = 0.61906 (Z probability calculator)
P (X ≤ 299)
Zscore = (x - m) / s
Zscore = (299 - 281) / 33
Zscore = 18 / 33 = 0.5454
P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)
Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882
