A certain type of mint has a label weight of 20.4 grams.

Chapter 2, Problem 10E

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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).

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

  1. Distribution of X
  2. The probabilities

            (i) P(X = 8), (ii) P(X ≤ 6), and (iii) P(X ≥ 6).


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