Answer:
The probability that it will weigh more than 904 grams = 0.9452
Step-by-step explanation:
Given -
Mean [tex](\nu )[/tex] = 920 grams
Standard deviation [tex](\sigma )[/tex] =10
Let X be the weight of a certain brand of adult cereal
if we select one box of cereal at random from this population
The probability that it will weigh more than 904 grams =
[tex]P(X> 304)[/tex] = [tex]P(\frac{X - \nu }{\sigma }> \frac{904 - 920}{10})[/tex]
= [tex]P(Z> -1.6)[/tex] Putting [tex]( Z = \frac{X - \nu }{\sigma } )[/tex]
= [tex]1- P(Z< -1.6)[/tex] Using Z table
= 1 - .0548
= 0.9452
