In a certain office, we have 30 female workers and 70 male workers. The probability
of having a smoker worker given that he is a male is 0.6 and the probability of having a
smoker worker given that she is a female is 0.4. Select a person at random from this office.
Find
a. The probability that this person will be a smoker.
b. Given that this person is a smoker, what is the probability that this person will be a male.
c. The probability that this person will be a smoker or a male

Step-by-step explanation:

a)

P(f ) = probability of being female = .3

P(m ) Probability of being male = .7

P(s/m) =  probability  of having a smoker worker given that he is a male = .6

P(s/f) =  probability  of having a smoker worker given that he is a male = .4

p(s) = p(m) x p(s/m) + p(f) x P(s/f)

= .7 x .6 + .4 x .3

= .42 + .12

= .54

b )

p (m/s) =  probability that this person will be a male,Given that this person is a smoker

p(m) x p(s/m) /  [ p(m) x p(s/m) + p(f) x P(s/f) ]

= .7 x .6 / .7 x .6 + .4 x .3

= .42 / .54

= .78

c )

Probability of the person being a smoker and male

= .54 x .78 = .42

probability of a person being a male and non smoker = .7 - .42 = .28

probability of a person being a non smoker and female = .46 -.28 =.18

probability that  person will be a smoker or a male

= 1 - (a person being a non smoker and female).  

= 1 - .18

= .82 .

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

they disappear if your absent from to long. i found out that the hard way.

step-by-step explanation:

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