An advertising executive studying television viewing habits of married men and women during prime-time hours has determined that during prime time, husbands are watching television 80 % of the time. when the husband is watching television, 50 % of the time the wife is also watching. when the husband is not watching television, 10 % of the time the wife is watching television. a. find the probability that if the wife is watching television, the husband is also watching television. b. find the probability that the wife is watching television in prime time.

a) 0.9523

b) 0.42

Step-by-step explanation:

Given:

husbands are watching television at prime time, P(H) = 0.80

husbands not watching television at prime time, P(H')= 1 - 0.80 = 0.20

When the husband is watching television, wife is also watching,

P( W | H ) = 0.50

When the husband is not watching television, wife is watching

⇒ P( W | H') = 0.10

Now,

a) The probability that wife is watching TV

⇒ P(W) = P( W | H')P(H') + P( W | H )P(H)

= (0.10 × 0.20) + (0.50 × 0.80)

= 0.02 + 0.4

= 0.42

By the Baye's theorem,  

P( wife is watching television, when the husband is also watching tv)

⇒ P( H | W ) =

=

= 0.9523

b) P( wife is watching TV in prime time)

P(W) = P( W | H')P(H') + P( W | H )P(H)

= ( 0.10 × 0.20 ) + ( 0.50 × 0.80 )

= 0.02 + 0.4

= 0.42

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950