3. If the masses of 300 students are normally distributed with mean 68kgs and standard deviation 3kgs,how many students hace masses (i) Greater than 72 kg (ii) Less than or equal to 64 kg (iii) Between 65 and 71 kg.
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Answer:
Given Mean = M = 45 kg and SD = 7. We have to find P(X < 36) = ?
P(X < 36) = P(Z < (36–45)/7) = P(Z < -1.286) = 0.5–0.4007 = 0.0993
So, the required probability is 0.0993
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