If the distribution is really n ( 5.43 , 0.54 ) , n(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05? (enter your answer rounded to four decimal places.)

And we can use the following excel code to find the "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:

And we can find this probability on this way:

And we can use the following excel code to find the "=NORM.DIST(-0.704,0,1,TRUE)"

answer: true

step-by-step explanation: