4)- Zoologist have discovered that animals spend a great deal of time resting, although this rest time can have functional importance. Discounting time spent in deep sleep, a University of Vermont researcher estimated the percentage of time various species spend at rest (National Wildlife, Aug - Sep 1993). For example, the probability that a female fence lizard will be resting at any given time is approximately .95. a) In a random sample of 20 female fence lizards, what is the probability that at least 15 will be resting at any given time? b) In a random sample of 20 female fence lizards, what is the probability that fewer than 10 will be resting at any given time? c) In a random sample of 200 female fence lizards, would you expect to observe fewer than 190 at rest at any given time? Explain you answer

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4) a) Check answer: 0.997 or 0.996? b) =0.000001
4)- Zoologist have discovered that animals spend a great deal of time resting, although this rest time can have functional
importance. Discounting time spent in deep sleep, a University of Vermont researcher estimated the percentage of time
various species spend at rest (National Wildlife, Aug – Sep 1993). For example, the probability that a female fence lizard
will be resting at any given time is approximately.95.
a) In a random sample of 20 female fence lizards, what is the probability that at least 15 will be resting at any given time?
b) In a random sample of 20 female fence lizards, what is the probability that fewer than 10 will be resting at any given
time?
c) In a random sample of 200 female fence lizards, would you expect to observe fewer than 190 at rest at any given time?
Explain you answer
Transcribed Image Text:4)- Zoologist have discovered that animals spend a great deal of time resting, although this rest time can have functional importance. Discounting time spent in deep sleep, a University of Vermont researcher estimated the percentage of time various species spend at rest (National Wildlife, Aug – Sep 1993). For example, the probability that a female fence lizard will be resting at any given time is approximately.95. a) In a random sample of 20 female fence lizards, what is the probability that at least 15 will be resting at any given time? b) In a random sample of 20 female fence lizards, what is the probability that fewer than 10 will be resting at any given time? c) In a random sample of 200 female fence lizards, would you expect to observe fewer than 190 at rest at any given time? Explain you answer
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