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*Consider the following discrete probability distribution when answering the following Two questions: X 1 2 Q20. What is the probability that P(X² <9)= P(X) 0.15 0.25 A) 0.55 B) 0.45 C) 0.7 D) 1 Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places). A) 1.80 B) 1.85 C) 1.45 D) 1.55 0 0.3 3 0.3

*Consider the following discrete probability distribution when answering the following Two questions: X 1 2 Q20. What is the probability that P(X² <9)= P(X) 0.15 0.25 A) 0.55 B) 0.45 C) 0.7 D) 1 Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places). A) 1.80 B) 1.85 C) 1.45 D) 1.55 0 0.3 3 0.3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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pleaseee sir solve question 20 and 21

### Statistical Problems and Solutions **Q14.** In testing, \( H_0: \mu = 2 \) vs \( H_1: \mu > 2 \) using \(\alpha = 0.1\), a random sample of size \( n = 6 \) from a normal population with \(\bar{x} = 2.6\), \( s = 0.4336 \) is obtained. The observed test statistic \( t \) is: - A) 2.44 - B) 3.39 - C) 1.22 - D) 1.13 **Q15.** If \( P(Q)=0.45 \), \( P(R)=0.3 \) are mutually exclusive, then \( P(Q \cap R) \) is: - A) 0.3 - B) 0.45 - C) 0.12 - D) None **Q16.** Suppose a 99% confidence interval for the population mean (\(\mu\)) is given by (123.7, 153.5). Find the point estimate of \(\mu\): - A) 2.575 - B) 277.2 - C) 138.6 - D) 137.6 **Q17.** Assume that the random variable \( X \) is normally distributed, with mean \(\mu = 50\) and standard deviation \(\sigma = 16\). Answer the following two questions: - The probability \( P(X > 70) \): - A) 0.8944 - B) 0.8819 - C) 0.0156 - D) 0 **Q18.** The mode of a random variable \( X \) is: - A) 66 - B) 45 - C) 50 - D) 3.125 **Q19.** Let \( Z \) be a standard normal variable, find \( k \) such that \( P(-2 \leq Z \leq k) = 0.627 \): - A) 0.3846 - B) 0.3223 - C) 0.5067 - D) 0.
Transcribed Image Text:### Statistical Problems and Solutions **Q14.** In testing, \( H_0: \mu = 2 \) vs \( H_1: \mu > 2 \) using \(\alpha = 0.1\), a random sample of size \( n = 6 \) from a normal population with \(\bar{x} = 2.6\), \( s = 0.4336 \) is obtained. The observed test statistic \( t \) is: - A) 2.44 - B) 3.39 - C) 1.22 - D) 1.13 **Q15.** If \( P(Q)=0.45 \), \( P(R)=0.3 \) are mutually exclusive, then \( P(Q \cap R) \) is: - A) 0.3 - B) 0.45 - C) 0.12 - D) None **Q16.** Suppose a 99% confidence interval for the population mean (\(\mu\)) is given by (123.7, 153.5). Find the point estimate of \(\mu\): - A) 2.575 - B) 277.2 - C) 138.6 - D) 137.6 **Q17.** Assume that the random variable \( X \) is normally distributed, with mean \(\mu = 50\) and standard deviation \(\sigma = 16\). Answer the following two questions: - The probability \( P(X > 70) \): - A) 0.8944 - B) 0.8819 - C) 0.0156 - D) 0 **Q18.** The mode of a random variable \( X \) is: - A) 66 - B) 45 - C) 50 - D) 3.125 **Q19.** Let \( Z \) be a standard normal variable, find \( k \) such that \( P(-2 \leq Z \leq k) = 0.627 \): - A) 0.3846 - B) 0.3223 - C) 0.5067 - D) 0.
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