D View hint for Question 1 Save Question 2 (1 point) The NASA planning an expedi

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D View hint for Question 1 Save Question 2 (1 point) The NASA planning an expedition on planet XYZ to bring back to earth a specimen of the aliens that populate the planet. They know that the height of the aliens follows a Normal distribution with a mean of 185 cm and standard deviation of 14 cm. They will pick one alien at random and they want the roof of the vessel to be high enough to accommodate the alien with a probability of exactly 97.5%" What alien height must they be able to accommodate? (Round your answer to the nearest cm) Note: - The bigger the vessel, the higher the costs. So they want to accommodate the chosen one with a probability of exactly 97.5%, no more, no less. Your Answer: Answer D View hint for Question 2 arted Save

Explanation / Answer

Zscore corresponding to 97.5%or 0.975 is 1.96

So by using formula

Z= X-mean/Sigma

Z*Sigma= X-mean

1.96*14=X-185

27.44= X-185

X= 185+27.44

X= 212.44

X= 212 cm

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