5% of items in a large batch of items produced at a local foundry' are defective. If 50 of these items are selected at random, what is the probability that exactly 2 of the items will be defective? Round to four decimal places.

0.2611

Step-by-step explanation:

We have x to be binomially distributed random variable which denotes the items number that are defective

We have been given n = 59 as our sample size

Probability of 5% = probability of success

1-5% = 0.95

We solve using this formula

nCxP^xq^n-x

= 50C2(0.05)²(0.95)^50-2

= 0.2611

This is the probability that exactly 2 would be defective

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

a reflection across line m

step-by-step explanation:

the first transformation is a 90 degree rotation counterclockwise around the point g. this gets to image gh'j'k'. when the image gh'j'k' is reflected over the line  m the result is g'h"j"k". the final transformation is a reflection over the line  m.