You have 10 businesses that you are researching. 4 businesses only have an online shop option, 2 businesses are strictly store front and 4 businesses offer both an online shop and store front option. given events a and b, are the two events mutually exclusive? explain your answer. event a: selecting a store with only a website. event b: selecting a store with a store front. a)yes, the events are mutually exclusive because they have no outcomes in common. b)yes, the events are mutually exclusive because p(a) is not equal to p(b).c)no, the events are not mutually exclusive because they share the common outcome, of having both a store front and a website. d)no, the events are not mutually exclusive because they both require only selecting one store.

C

Step-by-step explanation:

If A and B are independent P(A∩ B)= P(A) P(B).

Now P(A∩ B) = 4/10

            =2/5

P(A) P(B) = 4/10  ×2/10 = 8/100 = 2/25

Therefore A and B are not independent

Since they are not equal they are not mutually exclusive

Diagram attached for further understanding

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5