High School

Suppose that the weight, [tex]x[/tex], in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. Calculate [tex]P(120 \leq x \leq 153)[/tex]. Round your answer to four decimal places.

Answer :

0.6004 is standard deviation of equation .

Why is there a standard deviation?

  • The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean.
  • A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
  • An individual collection of data is compared to the average of several other sets of data using the standard deviation.
  • You can compute two different forms of standard deviation: When data are gathered from every person in a population or collection, it is the population standard deviation.

=0.6004$P(120≤X≤153)=0.6004​

The mean is μ=147, and the standard deviation is σ=16.

0.6462−0.0458=0.6004.

Thus, P(120≤X≤153)=0.6004.

Learn more about standard deviation

brainly.com/question/16555520

#SPJ9

Other Questions