let events a and b be described as follows:

p(a) = doing yard work
p(b) = it raining

the probability that it will rain this weekend is 68% the probability of doing yard work this weekend and it raining is 15%. if the probability of doing yard work is 53%, are doing yard work and it raining independent?

a. yes, because p(a | b) = 0.22 and the p(a) = 0.53are not equal.

b. no, because p(a| b) = 0.28 and the p(b) = 0.68 are not equal.

c. yes, because because p(a| b) = 0.28 and the p(b) = 0.68 are not equal.

d. no, because p(a | b) = 0.22 and the p(a) = 0.53are not equal.

D. No, because and the are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is,

Probability of raining,

Probability of doing yard work and it raining is,

Now, two events A and B are independent if,

Conditional probability of event A given that B has occurred is given as:

So,

Since, , A and B are not independent events.

step-by-step explanation:

it's is b

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0