John and jane are married. the probability that john watches a certain television show is .5. the probability that jane watches the show is .5. the probability that john watches the show, given that jane does, is .3. (a) find the probability that both john and jane watch the show. (round your answer to 2 decimal places.) (b) find the probability that jane watches the show, given that john does. (round your answer to 3 decimal places.)

a) 0.15

b) 0.300

Step-by-step explanation:

Given : The probability that John watches a certain television show : P(John)=0.5

The probability that Jane watches the show is : P(Jane)= 0.5.

The probability that John watches the show, given that Jane does

=P(John | Jane)=0 .3.

Using Condition  probability formula , we have

Similarly,

a) The probability that both John and Jane watch the show will be :-

b) The probability that Jane watches the show, given that John does will be :-

Hence, the probability that Jane watches the show, given that John does. = 0.300

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!