A contractor is required by a county planning department to submit one, two, three, four or five forms (depending on the nature of the project) in applying for a building permit. Let Y- the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y+1, in other words the PMF of Y is given by p(y)- k(y +1) for y-1,...,5, and 0 otherwise.

(a) What is the value of k?

(b) What is the probability that at most three forms are required?

c) What is the probability that between two and four forms (inclusive) are required?

(d) Could p(y) = y2/50 for y-1, . . . ,5 be the PMF of Y? Explain why or why not.

b

step-by-step explanation:

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true