Solution Found!
A certain type of mint has a label weight of 20.4 grams.
Chapter 2, Problem 10E(choose chapter or problem)
Problem 10E
A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh more than 20.7 grams in a sample of eight mints selected at random.
(a) How is X distributed if we assume independence?
(b) Find (i) P(X = 8), (ii) P(X ≤ 6), and (iii) P(X ≥ 6).
Questions & Answers
QUESTION:
Problem 10E
A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh more than 20.7 grams in a sample of eight mints selected at random.
(a) How is X distributed if we assume independence?
(b) Find (i) P(X = 8), (ii) P(X ≤ 6), and (iii) P(X ≥ 6).
ANSWER:
Solution :
Step 1of 3:
A certain type of has a label weight of 20.4 grams. If X is the number of mints that weighs more than 20.7 grams in a sample of 8 mints with probability 0.90. We have to find
- Distribution of X
- The probabilities
(i) P(X = 8), (ii) P(X ≤ 6), and (iii) P(X ≥ 6).