The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is ap

ID: 3292935 • Letter: T

Question

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean

1252

and standard deviation

129

chips.

(a) What is the probability that a randomly selected bag contains between

1000

and

1400

chocolate chips?

(b) What is the probability that a randomly selected bag contains fewer than

1100

chocolate chips?

(c) What proportion of bags contains more than

1225

chocolate chips?

(d) What is the percentile rank of a bag that contains

1050

chocolate chips?

chips.

Part-a

P(1000<X<1400)= 0.8490

Using excel function

=NORMDIST(1400,1252,129,TRUE)- NORMDIST(1000,1252,129,TRUE)

Part-b

P(X<1100)=0.1193

Using excel function

=NORMDIST(1100,1252,129,TRUE)

Part-c

P(X>1225)= 0.5829

Using excel function

=1-NORMDIST(1225,1252,129,TRUE)

Part-d

P(X<1050)= 0.0587

Using excel function

=NORMDIST(1050,1252,129,TRUE)

So percentile ie 5.87%

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