Question

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation

129 chips.

(a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive?

(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?

(c) What proportion of bags contains more than 1200 chocolate chips?

(d) What is the percentile rank of a bag that contains 1050 chocolate chips?

Answer #1

Solution :

Given that mean μ = 1252 , standard deviation σ = 129

(a) => P(1100 <= x <= 1500) = P(1099.5 < x < 1500.5)

= P((1099.5 - 1252)/129 < (x - μ)/σ < (1500.5 - 1252)/129)

= P(-1.1822 < Z < 1.9264)

= 0.8542

(b) => P(x < 1050) = P((x - μ)/σ < (1050 - 1252)/129)

= P(Z < -1.5659)

= 0.0582

(c) => P(x > 1200) = P((x - μ)/σ > (1200 - 1252)/129)

= P(Z > -0.4031)

= P(Z < 0.4031 )

= 0.6554

(d) P(x < 1050) = P((x - μ)/σ < (1050 - 1252)/129)

= P(Z < -1.5659)

= 0.0582

= 5.82%

The number of chocolate chips in an 18-ounce bag of chocolate
chip cookies is approximately normally distributed with a mean of
1252 chips and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag
contains between 1100 and 1500 chocolate chips, inclusive?
(b) What is the probability that a randomly selected bag
contains fewer than 1050 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate
chips?
(d) What is the percentile rank of...

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
1100
and
1500
chocolate chips?
(b) What is the probability that a randomly selected bag
contains fewer than
1050
chocolate chips?
(c) What proportion of bags contains more than
1200
chocolate chips?
(d) What is the percentile rank of a bag that contains...

The number of chocolate chips in an 18-ounce bag of chocolate
chip cookies is approximately normally distributed with a mean of
1252 chips and standard deviation 129 chips. (a) What is the
probability that a randomly selected bag contains between 1000 and
1500 chocolate chips, inclusive? (b) What is the probability that
a randomly selected bag contains fewer than 1125 chocolate chips?
(c) What proportion of bags contains more than 1175 chocolate
chips? (d) What is the percentile rank of...

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 1100 and 1400 chocolate? chips?
?(b) What is the probability that a randomly
selected bag contains fewer than 1025 chocolate? chips?
?(c) What proportion of bags contains more than
1200 chocolate? chips?
?(d) What is the percentile rank of a bag that
contains...

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 1100 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 1200 chocolate
chips?
(d) What is the percentile rank of a bag that contains...

The number of chocolate chips in an 18-ounce bag of
chocolate chip cookies is approximately normally distributed with a
mean of
1252
chips and standard deviation
129
chips.
(a) What is the probability that a randomly selected
bag contains between
1000
and
1400
chocolate chips, inclusive?
(b) What is the probability that a randomly selected bag contains
fewer than
1000
chocolate chips?
(c) What proportion of bags contains more than
1200
chocolate chips?
(d) What is the percentile rank of...

The number of chocolate chips in an 18-ounce bag of chocolate
chip cookies is approximately normally distributed with a mean of
1252 chips and standard deviation 129 chips. (a) What is the
probability that a randomly selected bag contains between 1000 and
1400 chocolate chips, inclusive? (b) What is the probability that
a randomly selected bag contains fewer than 1100 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate
chips? (d) What is the percentile rank of...

The number of chocolate chips in an 18-ounce bag of chocolate
chip cookies is approximately normally distributed with a mean of
1252 chips and standard deviation 129 chips. (a) What is the
probability that a randomly selected bag contains between 1000 and
1400 chocolate chips, inclusive (b) What is the probability that
a randomly selected bag contains fewer than 1125 chocolate chips
(c) What proportion of bags contains more than 1225 chocolate
chips (d) What is the percentile rank of...

The number of chocolate chips in an 18-ounce bag of chocolate
chip cookies is approximately normally distributed with mean
12521252
and standard deviation
129129
chips.
(a) What is the probability that a randomly selected bag
contains between
11001100
and
15001500
chocolate chips?
(b) What is the probability that a randomly selected bag
contains fewer than
11001100
chocolate chips?
(c) What proportion of bags contains more than
11751175
chocolate chips?
(d) What is the percentile rank of a bag that contains...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 15 minutes ago

asked 24 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago