Question

17-M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer

Affairs, the distribution of colors for plain M&M candies is as follows.

Color Purple Yellow Red Orange Green Blue Brown

Percentage 17% 22% 21% 7% 8% 10% 15%

Suppose you have a large bag of plain M&M candies and you choose one candy at random.

(a) Find P(green candy or blue candy).

Are these outcomes mutually exclusive? Why?

Yes. Choosing a green and blue M&M is possible. No. Choosing a green and blue M&M is not possible.   Yes. Choosing a green and blue M&M is not possible. No. Choosing a green and blue M&M is possible.

(b) Find P(yellow candy or red candy).

Are these outcomes mutually exclusive? Why?

Yes. Choosing a yellow and red M&M is possible. Yes. Choosing a yellow and red M&M is not possible.   No. Choosing a yellow and red M&M is possible. No. Choosing a yellow and red M&M is not possible.

(c) Find P(not purple candy).

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18-

A national park is famous for its beautiful desert landscape and its many natural rock formations. The following table is based on information gathered by a park ranger of all rock formations of at least 3 feet. The height of the rock formation is rounded to the nearest foot.

Height of rock formation, feet 3-9 10-29 30-49 50-74 75 and higher

Number of rock formations in park 118 80 23 24 12

For a rock formation chosen at random from this park, use the preceding information to estimate the probability that the height of the rock formation is as follows. (Round your answers to two decimal places.)

(a) 3 to 9 feet

(b) 30 feet or taller

(c) 3 to 49 feet

(d) 10 to 74 feet

(e) 75 feet or taller

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