According To a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose
you sit on bench in a mall and observe people's habits as they sneeze.
a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
(b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth when sneezing?
(c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why?

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.