According to masterfoods, the company that manufactures m& m’s, 12% of peanut m& m’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. you randomly select peanut m& m’s from an extra-large bag looking for a brown candy. (round all probabilities below to four decimal places; i. e. your answer should look like 0.1234, not 0.123 or 12.34%.)a.) compute the probability that the first brown candy is the seventh m& m selected. b.) compute the probability that the first brown candy is the seventh or eighth m& m selected. c.)compute the probability that the first brown candy is among the first seven m& m’s selected. d.) if every student in a large statistics class selects peanut m& m’s at random until they get a brown candy, on average how many m& m’s will the students need to select? (round your answer to two decimal places.)

See explanation.

Step-by-step explanation:

We are looking at a geometric distribution.

The probability of selecting a brown peanut is .12 = p

The probability of not selecting a brown peanut is .88 = q

The probability mass function is p(y) = (.88)^(y-1) * (.12)

a) p(7) = (.88)^6 * .12 = .0557

b) p(7 <= y <= 8) = p(7) + p(8)

   = .0557 + (.88)^7 * .12 = .1048

c) p(y <= 7) = p(0) + p(1) + ... + p(7)

   = .12 + (.88)^1 * .12 + (.88)^2 * .12 + ... + (.88)^6 * .12 = .4713

d) The expect value is 1/p. So, 1/(.12) = 8.33 M&M's

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