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

Explained below.

Step-by-step explanation:

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate chips as follows:

Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:

Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq