Question

Forced vital capacity (FVC), a standard measure of pulmonary function, is the volume of air a person can expel in 6 second. The standardized FVC follows approximately a standard normal distribution. A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean. The probability that a child is within the normal range of long growth is ______________.

Answer 1

Answer: the probability that a child is within the normal range of long growth is 0.8664

Explanation:

Given that;

A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean.

he probability that a child is within the normal range of long growth = ?

so we need to find

P( -1.5 < z < 1.5)

which can also be represented as;

⇒2 × ( 0 < z < 1.5)

so we have

⇒ 2 × 0.4332

= 0.8664

Therefore the probability that a child is within the normal range of long growth is 0.8664