A grocery supplier believes that the mean number of broken eggs per dozen is 0.4

Question

A grocery supplier believes that the mean number of broken eggs per dozen is 0.4 with a standard deviation of 0.2. You buy 5 dozen eggs without checking them buy 5 dozen eggs without checking them. a) How many broken eggs do you expect to get? b) What's the standard deviation? c) Is it necessary to assume the cartons of eggs are independent? Why? a) The expected number of broken eggs is (Type an integer or a decimal.) b) The standard deviation is eggs. (Round to two decimal places as needed.) c) Is it necessary to assume the cartons of eggs are independent? Why? A. Yes, it is necessary to assume the cartons are independent to calculate both the mean and the standard deviation. B. Yes, it is necessary to assume the cartons are independent to calculate the standard deviation. C. Yes, it is necessary to assume the cartons are independent to calculate the mean. D. No, it is not necessary to assume the cartons are independent.

Explanation / Answer

(a) THe expected nuber of eggs are = 5 * 0.4 = 2

(b) Standard deviation = sqrt ( Variance)

Variance of eggs sople per dozen = Standard deviation 2 = (0.2)2 = 0.04

so standard deviation for 5 dozen eggs = sqrt (5 * 0.22 ) = 0.45

(c) Yes, it is necessary to assume the cartons to be independent to calculate the mean and standard deviation.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.