In Exercises, assume that red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.
What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?
Problem 10CQQ
Answer:
Step1 of 3:
We have red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.
Step2 of 3:
We need to find what percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?
Step3 of 3:
We have
1).Consider z statistics with
P() = P(z
)
= P(z )
= P(z-0.99)
= 0.9842
Probability that -0.990 is calculated by using standard normal table(area under normal curve).in statistical table we have to see row -0.9 under column 0.00
Hence, P(z-0.99) = 0.9842
2).1).Consider z statistics with
P() = P(z
)
= P(z )
= P(z2.15)
= 0.1611
Probability that 2.15 is calculated by using standard normal table(area under normal curve).in statistical table we have to see row 2.1 under column 0.05
Hence, P(z 2.15) = 0.1611
Now,
The percentage of women have red blood cell counts in the normal range from 4.2 to 5.4 is given by
P() - P(
) = 0.9842 - 0.1611
= 0.8231
Conclusion:
Therefore,82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4.
