Manufacturers don’t like defective products because it can give their brands a bad reputation. However, no production line is perfect. One line is filling soda bottles that are supposed to contain 2 liters. Typically, 99% of these bottles are properly filled. In a quality control sample of 25 bottles, what is the probability that at least 23 are properly filled?

0.99804932311

Step-by-step explanation:

We solve this using binomial probability

Binomial probability formula

= nCx × p^x × q^n - x

= n!/(n - x)! x!

Where n = Number of trials = 25 samples

x = Number of successes = 23

p = probability of success = 99% = 0.99

q = probability of failure = 1 - p

= 1 - 0.99

= 0.01

Hence,

p(at least 23 are properly filled) = p(X ≥ x)

= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]

= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]

= 0.0238084285 + 0.1964195352 + 0.7778213594

= 0.99804932311

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.