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 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: