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Pakistan
2. Answer the following questions. A random variable \( X \) has a mean 8 , a variance 9 , and an unknown probability distribution. Using Chebyshev's theorem, find the lower bound of \( P(|X-8| \geq 6) \).
Probability Jan 22, 2025
11. Prove that the product of \( n \) geometric means between \( a \) and \( b \) to the nth power of the single geometric mean between them. For what value of \( n, \frac{a^{n+1}+b^{n+1}}{a^{n}+b^{n}} \) is the geometric mean betweo iw?
Algebra Jan 22, 2025
"Statistics". Acoin is flipped until 3 heads in succession occur. List only those elements of the sample space that require 6 or less tosses. Is this a discrete sample space? Explain.
Statistics Jan 22, 2025
4. Discuss the difference and the relationship between "Probability" and "Statistics". 5. A coin is flipped until 3 heads in succession occur. List only those elements of
Probability Jan 22, 2025
product chosen is defective? If X is a continuous random variable having the following probability density function: \[ f(x)=\left\{\begin{array}{ll}2(x-1), & 1<x<2 \\ 0, & \text { elsewhere. }\end{array}\right. \] Then find out the variance of X .
Probability Jan 22, 2025
12. Company A produces \( 10 \% \) defective products, Company B produces \( 20 \% \) defective products and C produces \( 5 \% \) defective products. If choosing a company is an equally likely event, then what is the probability that the product chosen is defective?
Probability Jan 22, 2025
1. Consider the two independent rolls of a fair 6 -sided dice. What is the probability of getting at least one 6 given the two rolls land on different numbers?
Probability Jan 22, 2025
Lithium nitride is an ionic compound. Draw a diagram which shows its formula, the charges on the ions and the arrangement of the valency electrons around the negative ion. Use \( x \) for an electron from a lithium atom. Use o for an electron from a nitrogen atom.
Chemistry Jan 21, 2025
Solve the cquation: \( x^{2}+54=15 x^{3} \)
Algebra Jan 21, 2025
Write the shortcut keys for the following tasks. 1. To select the text to the end of current line 2. To select the text to the end of document 3. To select entire document 4. To save your document 5. To print your document 6. To delete your document
Computer Technology Jan 21, 2025
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