hexacordoK

2020-11-20

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 4.8 cm.

A. Find the probability that one selected subcomponent is longer than 118 cm.

B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm.

C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

A. Find the probability that one selected subcomponent is longer than 118 cm.

B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm.

C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

opsadnojD

Skilled2020-11-21Added 95 answers

Step 1

Given Data:

A) To Find:

The probability that one selected subcomponent is longer than 118 cm is 0.338

Step 2

B) sample size=4

Therefore,

To Find:

The probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm is 0.202

Step 3 C) P(all 4 lengths exceed 118 cm)=

The probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm is 0.0131

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