Amarketing firm tracks data on grocery store visits. in one study, it finds that the probability that a shopper buys bread during a visit to the grocery store is 0.60, and the probability that a shopper buys cheese is 0.25. event a a shopper buys bread. event b- a shopper buys cheese. a and b are independent events

A and B are independent events if P(A∩B)=P(A).P(B)=0.15.

Step-by-step explanation:

Let A be the event that a shopper buys bread.

Let B be the event that a shopper buys cheese.

So, P(A∪B)=100

Probability that a shopper buys bread during a visit to the grocery store =n 0.60

P(A) = 0.60

Similarly, Probability that a shopper buys bread = 0.25

P(B) = 0.25

Since A and B are independent then,

So, A and B are independent events if P(A∩B)=P(A).P(B)=0.15.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

b i think

step-by-step explanation:

not really sure