Aburrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds of beans that people requested. consider the following events: a. the burrito is a chicken burrito. b. the burrito is a carne asada burrito. c. the customer requested black beans. d. the customer requested pinto beans. which two events are independent? a and c a and d b and c b and d

Aburrito restaurant used the given table to keep track of the numbers of different types of burritos that were sold and the kinds

Answers

cthompson1107

B and D

Step-by-step explanation:

AmityHeart

B and D

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laniiawesomee

d b and d

Step-by-step explanation: on edge plz give 5 stars plz

vanydparis

B and D are independent.

Step-by-step explanation:

Events A and B are independent when $P(A\cap B)=P(A)\cdot P(B)$

Here,

A is the event that the burrito is a chicken burrito

B is the event that the burrito is a carne asada burrito

C is the event that the customer requested black beans

D is the event that the customer requested pinto beans

$P(A)=\dfrac{83}{240},\ P(B)=\dfrac{80}{240}=\dfrac{1}{3},\ P(C)=\dfrac{45}{240}=\dfrac{3}{16},\ P(D)=\dfrac{72}{240}=\dfrac{3}{10}$

and

$P(A\cap C)=\dfrac{37}{240},\ P(A\cap D)=\dfrac{30}{240},\ P(B\cap C)=\dfrac{5}{240},\ P(B\cap D)=\dfrac{24}{240}=\dfrac{1}{10}$

Also,

$P(A)\cdot P(C)=\dfrac{83}{1280},\ P(A)\cdot P(D)=\dfrac{83}{800},\ P(B)\cdot P(C)=\dfrac{1}{16},\ P(B)\cdot P(D)=\dfrac{1}{10}$

As only $P(B\cap D)=P(B)\cdot P(D)$ , so B and D are independent.

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