ceeejay0621
02.08.2019 •
Mathematics
the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters. if a component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02 centimeters is about % and the probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is about %.
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Ответ:
1) 68.3%
2)33.3%
Step-by-step explanation:
Given:
mean, x= 5 cm
Standard deviation, sd= 0.02 cm
probability that the length of this component is between 4.98 centimeters and 5.02 centimeters=?
probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is =?
As the graph shows the normal distribution
a component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02 centimeters is about:
1 sd on either side of the mean on normal distributed graph means
P(|z|<1)
=2(0.3418)
=0.683
=68.3%
the probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is about:
=P(1<z<2) (since between 1 and 2 std dev from the mean)
between 1 and 2 sd on either side of the mean on normal distributed graph means
P(1<z<2)
=0.47-0.342
=0.333
=33.3%!
Ответ:
3/28
Step-by-step explanation: