I would like help with number 22 thank you l Seleetng a store with a pharmacy, a

Question

I would like help with number 22
thank you

l Seleetng a store with a pharmacy, a floral e. W hat is the probability of selecting a store that does not have all three departments? study by the National Park Service revealed that 50% y terobability of sele of vacationers going to Yellowstone Park, 40% visit the Tetons, and 35% visit the Rocky Mountain region visit botb. a. W b. What is the probability .35 called? hat is the probability a vacationer will visit at least one of these attractions? c. Are the events mutually exclusive? Explain. Rules of Multiplication

Explanation / Answer

Given,

P(Visiting Yellowstone park) = 0.50

P(Visiting Tetons) = 0.40

P(Visiting both) = 0.35

Hence,

a) P(Visiting atleast one)

= P(Visiting Yellowstone park) + P(Visiting Tetons) - P(Visiting both)

= 0.50 + 0.40 - 0.35

= 0.55

b) 0.35 probability is known as the probability of intersection of two events i.e. joint probability.

c) No, since the events have joint probability greater than 0, they are not mutually exclusive. A person can visit both the places and hence, both events can occur at the same time.

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