Question

More Practice With Normal Distributions.

Assign your numbers for mean μ and standard deviation σ.
Then select a number "A" below mean μ, and a number "B" above mean μ.
Use Appendix Table for the Normal Distribution to find probability
that x is between A and B: P (A < x < B).

Here are steps to follow: convert A to z score (let's call it za),
convert B to z score (let's call it zb).;
From Appendix table find area under curve to the left of za and to the left of zb.
That will give you P (z < za) and P (z < zb).
If za or zb are not in the table, change your A or B.
Use formula: P (A < x < B) = P (za < z < zb) = P (z < zb) - P (z < za)

Don't just assign numbers, make an example from real situation
where this technique can be applied.Create your own scenario and values.

Answer 1

Example foom real Situation manutacturing Company chips is mobile At the actua size of distibuted on d with mean devi f 1 centimeter Standard A Mondom talcen Sam ple cen timete. mob11e ation of o.1 Sample chips is 12 the wil1 find between be 1-01 0,99 Mean Cen timeters ?

Given data 670.1 B /2 find Pf a.99x 1.01 -2 1.01-1 0.99 1.0J P|32-cX- 0.1 G.1 N12 Vi2 220101 O.02 88 o,02886 -J. P[20.3465 1-P[ZL-0.346S 0.34 65 2L O,3465J o. 63 5516 0.364483 (from standard normal table) O 27103 0.2710 Plo.99 1.01 o.2710 o.2710 is the probability that the Mean wi11 be Sample centimetem between 1.01