I need help solving this equatioion. (2xy)(3y)
1 answer:
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Answer:
a) 0 .0228
b) 14.69 ounces
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 16 ounces
Standard Deviation, σ = 0.4 ounces
We are given that the distribution of volume of soft drink is a bell shaped distribution that is a normal distribution.
Volume of new cup = 16.8 ounces
Formula:
a) new cup will overflow when filled by the automatic dispenser
P( x > 16.8)
Calculation the value from standard normal z table, we have,
0.0228 is the probability that a new cup will overflow when filled by the automatic dispenser.
b) mean amount dispensed by the machine be set to satisfy this wish
We have to find the value of x such that the probability is 0.006
P(X > x)
Calculation the value from standard normal z table, we have,
Thus, the mean amount dispensed should be set to approximately 14.69 ounces so that the probability that a new cup will overflow is 0.006