Question

the number of chocolate chips in the 18 ounce bag of chips ahoy? chocolate chip cookies...

the number of chocolate chips in the 18 ounce bag of chips ahoy? chocolate chip cookies is approximately normally distributed with a mean of 1350 chocolate chips and a standard deviation of 218 chocolate chips

a) what is the probability that a randomly selected 18 ounce bag of chips ahoy contains more that 1600 chips

b)what is the probability that a randomly selected 18 ounce bag of chips ahoy contains less than 1200 chips

c)what is the probability that a randomly selected 18 ounce bag of chips ahoy contains between 1200 and 1600 chips

Given ,

= 1350 , = 218

We convert this to standard normal as

P( X < x) = P( Z < x - / )

a)

P( X > 1600) = P (Z > 1600 - 1350 / 218)

= P( Z > 1.1468)

= 0.1257

b)

P( X < 1200) = P( Z < 1200 - 1350 / 218)

= P( Z < -0.6881)

= 0.2457

c)

P( 1200 < X < 1600) = P( X < 1600) - P (X < 1200)

= P( Z < 1600 - 1350 / 218) - P( Z < 1200 - 1350 / 218)

= P( Z < 1.1468) - P( Z < -0.6881)

= 0.8743 - 0.2457

= 0.6286

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