Question 1

given the following information about events a, b, and c, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

p(a)=0.26 , p(b)=0.5 , p(c)=0.45 . p(a|b)=0.26 , p(b|c)= 0 , p(c|a)=0.26

select all correct answers.

select all that apply:

b and c are independent
a and c are mutually exclusive
a and b are independent
a and c are independent
b and c are mutually exclusive
a and b are mutually exclusive

question 2

let e be the event that a randomly chosen person exercises. let d be the event that a randomly chosen person is on a diet. identify the answer which expresses the following with correct notation: of all the people who exercise, the probability that a randomly chosen person is on a diet.

select the correct answer below:

p(d) and p(e)
p(e and d)
p(e|d)
p(d|e)

Answer with Step-by-step explanation:

1.We are given that  three events  A, B and C.

P(A)=0.26

P(B)=0.5

P(C)=0.45

P(A/B)=0.26

P(B/C)=0

P(C/A)=0.26

When two events A and B are independent then

If two events are mutually exclusive then

We know that

Hence,

Therefore, event A and B are independent.

Therefore, events B and C are mutually exclusive.

Hence, event A and C are neither independent nor mutually exclusive.

A and B are independent

B and C are mutually exclusive.

2.Let E be the event that  randomly chosen person exercises and D be the event that a randomly chosen person is on a diet.

According to question

We have to find P(D/E).

Answer : P(D/E)

step-by-step explanation:

i'm pretty sure it would take 20 hours because it's half the men so you multiply the number of hours it takes by 2

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: