Question

the ph measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3. what is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2?

Answer 1

The probability that ph measurement of a randomly selected water is greater than 8.2 is 0.25239.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

What is standard deviation?

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Given,

mean = 8

standard deviation = 0.3

To find P(X<8.2)

P(X<8.2) =P($\frac{X-mean}{standard devaition}$> $\frac{8.2-8}{0.3}$)

= P (Z> 0.667)

=0.25239.

To know more about probability, standard, visit:

https://brainly.com/question/19262417

#SPJ4