Hi,

The weight of a miniature Tootsie Roll is normally distributed with a mean of 3.30 grams and standard deviation of 0.13 grams

(a) Within what weight range will the middle 95 percent of all miniature Tootsie Rolls fall?

Within 2 sd of the mean: sd=.13  range will be: 3.04 to 3.56



P(x>3.50)    

 |z = (3.50-3.30)/.13 = 1.5385

 P(x > 3.50)= 1 -P( z ≤ 1.5385) = 1- .938 = .062



P(between 3.25 abd 3.45)     

|z = (3.25-3.30)/.13 = -.3846  and z = (3.45-3.30)/.13 = 1.1538

P(between 3.25 abd 3.45) = P(z ≤ 1.1538)- P(z ≤ -.3846) = .8757 - .3503 = .5254 

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