IITM BS Question 18 - Week 10 Practice

Prasnya

IITM BS Question 18 - Week 10 Practice | Prasnya

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Q18Comprehension2 Marks3 Sep 2023

Passage

A six-sided die is marked with '

1

' on two of its faces, '

2

' on one of its faces, and '

3

' on the remaining three faces. The die is thrown twice independently. Let

X

denote the total sum of scores in the two throws. Based on the given information, answer the subquestions.

Find

\mathbb{E}[X]

. (Enter the answer correct to 2 decimal places). Using the PMF of X:

\mathbb{E}[X) = 2 \cdot (1/9) + 3 \cdot (1/9) + 4 \cdot (13/36) + 5 \cdot (1/6) + 6 \cdot (1/4) \mathbb{E}(X) = 2/9 + 3/9 + 52/36 + 5/6 + 6/4 \mathbb{E}(X) = 5/9 + 13/9 + 5/6 + 3/2 \mathbb{E}(X] = \frac{18}{9} + \frac{5}{6} + \frac{9}{6}

= 2 +

\frac{14}{6}

= 2 +

\frac{7}{3}

= 2 + 2.3333... ≈ 4.33.

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Q18

00:00

3 Sep 2023

Statistics 1 · Week 10

Q18.Find

\mathbb{E}[X]

. (Enter the answer correct to 2 decimal places). Using the PMF of X:

\mathbb{E}[X) = 2 \cdot (1/9) + 3 \cdot (1/9) + 4 \cdot (13/36) + 5 \cdot (1/6) + 6 \cdot (1/4) \mathbb{E}(X) = 2/9 + 3/9 + 52/36 + 5/6 + 6/4 \mathbb{E}(X) = 5/9 + 13/9 + 5/6 + 3/2 \mathbb{E}(X] = \frac{18}{9} + \frac{5}{6} + \frac{9}{6}

= 2 +

\frac{14}{6}

= 2 +

\frac{7}{3}

= 2 + 2.3333... ≈ 4.33.@passage

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