a zoo carefully monitors newborn elephants born at their park. if a newborn elep

Question

a zoo carefully monitors newborn elephants born at their park. if a newborn elephants weight 1. The weights of newborn elephants are normally distributed with a mean of 225 pounds and a standard deviation of 45 pounds. a) Find the probability that a newborn elephant weighs between 250 and 275 pounds. You must show your work using a calculator function to receive credit. b) Find the probability that a newborn elephant weighs more than 210 pounds. You must show your work using a calculator function to receive credit

Explanation / Answer

Ans:

Given that

mean=225

standard deviation=45

a)use Ti-84 function normalcdf(250,275,225,45)

z(250)=(250-225)/45=0.556

z(275)=(275-225)/45=1.111

P(0.556<z<1.111)=P(z<=1.111)-P(z<=0.556)

=0.8667-0.7107=0.1560

b)

z=(210-225)/45=-0.333

P(z>-0.333)=0.6306

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