The Western Diamondback Rattlesnakes are known as having themost toxic venom amo

Question

The Western Diamondback Rattlesnakes are known as having themost toxic venom among 20 different species of rattlesnakesrecognized in the United States. Pervious researches showed thatthe length of the Western Diamondback Snake is normally distributedwith a mean of 3.5 feet, and standard deviation of 0.5 feet. Whatis the probability that if 4 Diamondback Rattlesnakes arecollected, their average length will be more than 3.9 feet?

Explanation / Answer

Given X~Normal(=3.5, =0.5) , n=4 The probability is P(Xbar>3.9)= P((xbar-)/(/n) >(3.9-3.5)/(0.5/sqrt(4))) =P(Z> 1.6) = 0.0548 (check normal table)

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