2. a traveler estimates that, for an upcoming trip, the probability of catching malaria is 0.18, the probability of catching typhoid is 0.13, and the probability of catching neither
of the two diseases is 0.75.
a. draw a venn diagram to represent this information.
b. calculate the probability of catching both of the diseases.
c. are the events "catches malaria" and "catches typhoid" independent? explain your answer

a. Venn diagram is explained in the attached word file

b. 0.06

c. Not independent

Step-by-step explanation:

a. The attached word file explain the probabilities of catching malaria and typhoid using the Venn diagram

b. Probability of catching both diseases=P(M and T)=P(M∩T)=?

using the addition rule

P(MUT)=P(M)+P(T)-P(M∩T)

P(M)=0.18

P(T)=0.13

P(MUT)=P(M or T)=1-P(neither M nor T)=1-0.75=0.25

P(MUT)=P(M)+P(T)-P(M∩T)

0.25=0.18+0.13-P(M∩T)

P(M∩T)=0.18+0.13-0.25=0.06

c.  The two variables are independent if P(M∩T)=P(M)*P(T)

P(M∩T)=0.06

P(M)*P(T)=0.18*0.13=0.023

So, the events catching malaria and typhoid is dependent.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation: