The quality control manager of Marilyn\'s Cookies is inspecting a batch of choco

Question

The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate-chip cookies that has just been baked. If the production process is in control, the mean number of chip parts per cookie is 6.5. Complete parts (a) through (C). a. What is the probability that in any particular cookie being inspected less than five chip parts will be found? The probability that any particular cookie has less than five chip parts is Round to four decimal places as needed.) b. What is the probability that in any particular cookie being inspected exactly five chip parts will be found? The probability that any particular cookie has exactly five chip parts is (Round to four decimal places as needed) c. What is the probability that in any particular cookie being inspected five or more chip parts will be found? The probability that any particular cookie has five or more chip parts is (Round to four decimal places as needed.)

Explanation / Answer

POSSION DISTRIBUTION
pmf of P.D is = f ( k ) = e- x / x!
where
= parameter of the distribution.   
x = is the number of independent trials
I.
mean =
= 6.5
a.
P( X < 5) = P(X=4) + P(X=3) + P(X=2) + P(X=1) + P(X=0)   
= e^-6.5 * 5 ^ 4 / 4! + e^-6.5 * ^ 3 / 3! + e^-6.5 * ^ 2 / 2! + e^-6.5 * ^ 1 / 1! + e^-6.5 * ^ 0 / 0!
= 0.2237
b.
P( X = 5 ) = e ^-6.5 * 6.5^5 / 5! = 0.1454
c.
P( X > = 5 ) = 1 - P (X < 5) = 0.7763

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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