Q:

HELP!!!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 %.

Accepted Solution

A:
Step-by-step explanation:Given that 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.A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02 =P(|z|<1) (since 1 std dev on either side of the mean)=2(0.3418)=0.6826=68.26%The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is =P(1<z<2) (since between 1 and 2 std dev from the mean)=0.475-0.3418=0.3332=33.32%