Question 471784
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
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 &#8804; 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 &#8804; 1.1538)- P(z &#8804; -.3846) = .8757 - .3503 = .5254