Soda bottles are filled by machine at the bottling plant. The normally distribut

Question

Soda bottles are filled by machine at the bottling plant. The normally distributed with a mean of 2.01 liters and a standard deviation of 0.05 liters. Find the probability that a soda bottle selected at random will contain between 1.99 and 2.04 liters. 0.7724 0.5446 0.3812 None of the answer is correct Scores for the first exam for ail statistics classes at Lake Woebegone College were are normally distributed with a mean of 74 points and a standard deviation of 8 points. The instructor decided to curve the grades. The top 9 % scores would he A's, the next 23 % would be B's, the next 35% would be C's, the next 18 % would be D's, and the rest would be F's. What's the lowest score required for an exam that gets on "A"? 91.0 points 81.2 points 84.7 points None of the answers is correct

Explanation / Answer

as z=(X-mean)/std deviation

16) hence P(1.99<X<2.04)=P((1.99-2.01)/0.05<Z<(2.04-2.01)/0.05)=P(-0.4<X<0.6)=0.7257-0.3446=0.3812

option c

17)for top 9%, at 91 percentile z=1.34

hence corresponding score=mean +z*std deviation=71+1.34*8=84.73

option C

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