The weight of gelatin boxes has a Normal distribution with a mean of 8.47 ounces and...
The weight of gelatin boxes has a Normal distribution with a mean of 8.47 ounces and a standard deviation of 0.04 ounces. What is the probability that a randomly selected box weighs less than 8.4 ounces?
- 0.0175
- 0.0401
- 0.5000
- 0.9599
- 0.9825
- Cannot be computed with given information
Homework Answers
Solution :
Given that ,
mean = 
= 8.47
standard deviation = 
= 0.04
P(x < 8.4) = P((x -
) /
< (8.4 - 8.47) / 0.04)
= P(z < -1.75)
= 0.0401 Using standard normal table,
Probability = 0.0401
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