Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actual weight of the chocolate has a uniform distribution ranging from 31.8 to 32.6 ounces. a. Define a probability density function for the weight of the box of chocolate. b. What is the probability that a box weighs (1) exactly 32 ounces; (2) more than 32.3 ounces; (3) less than 31.8 ounces? c. The government requires that at least 60% of all products sold weigh at least as much as stated weight. Does Delicious Candy violate government regulation?

a.

c. No.  Delicious Candy isn't violating any government regulations

Step-by-step explanation:

a.

-A uniform distribution is given by the formula:

#we substitute our values in the formula above to determine the distribution:

Hence, the probability density function for the box's weight is given as:

b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:

Hence,  the probability that a box weighs exactly 32 ounces is 0.000

ii.The probability that a box weighs more than 32.3 is obtained by integrating f(x) over the limits 32.3 to 32.6 :

Hence, the probability that a box weighs more than 32.3 ounces is 0.3750

iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are .

-Any value above or below these limits have a probability of 0.000

c. Let 32 ounces be the government's stated weight.

Hence, Delicious Candy isn't violating any government's regulations.

the correct answer is 828.07

555.99.

step-by-step explanation:

hope this