Let X equal the weight of the soap in a “6-pound” box.

Chapter 5, Problem 4E

(choose chapter or problem)

Let \(X\) equal the weight of the soap in a "6-pound" box. Assume that the distribution of \(X\) is \(N(6.05,0.0004)\).

(a) Find \(P(X<6.0171)\).

(b) If nine boxes of soap are selected at random from the production line, find the probability that at most two boxes weigh less than \(6.0171\) pounds each. HINT: Let \(Y\) equal the number of boxes that weigh less than \(6.0171\) pounds.

(c) Let \(\bar{X}\) be the sample mean of the nine boxes. Find \(P(\bar{X} \leq 6.035)\).

Equation Transcription:

.

.


Text Transcription:

X  

N(6.05,0.0004)

P(X<6.0171)

6.0171

Y

Bar X

P(bar X < or = 6.035)

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